Moise Bianca

UNIVERSITATEA CREŞTINĂ "DIMITRIE CANTEMIR"FACULTATEA DE ŞTIINŢE ECONOMICE BRAŞOVMASTER: MANAGEMENT FINANCIAR-BANCARDISCIPLINA: SIMULAREA DECIZIEI FINANCIARE

EXAMEN FINAL 2016

DESCRIEREA MODELULUI - LANSAREA PE PIATA A UNUI PRODUS NOU

Costuri (mil. u.m.) UM Min Nominal Max

V1 Costuri dezvoltare mil. u.m. 7.0 10.0 13.0

V2 Costuri testare mil. u.m. 3.0 4.0 5.0

V3 Costuri marketing mil. u.m. 14.0 16.0 18.0

CT Costuri totale 24.0 30.0 36.0

CT = V1 + V2 + V3

Studiul de marketing (mil. u.m.) UM Min Nominal Max

V4 Numar utilizatori mil. 34 40 46

V5 Cresterea ratei % 0.015 0.020 0.025

MT Numar persoane dupa 1 an 34.51 40.8 47.15

MT = V4 * (1+V5)

Profit brut (mil. u.m.) UM Min Nominal Max

V6 Cota de piata % 0.060 0.080 0.100

V7 Profit pe produs u.m. 10.00 12.00 14.00

PT Profit brut total 20.706 39.168 66.01

PT = MT * V6 * V7

PT =V4*(1+V5) * V6 * V7

VF Profit mil. u.m. -3.3 9.2 30.0

Barem:

1. Sa se realizeze analiza scenariilor 1.00

2. Sa se simuleze variabilele de intrare 3.50

3. Sa se simuleze variabila de iesire 0.50

4.Sa se determine statisticile variabilei f 0.25

5. Sa se determine probabilitatile

Prob{x <= 0}

Prob{x > 9.17} 0.25

6. Se se realizeze analiza de senzitivitate

- Calcule 1.00

- Fisa spider 0.50

- Fisa tornado amplitudine 0.50

VF = PT CT

VF = V4*(1+V5) * V6 * V7 (V1 + V2 + V3)

- Fisa tornado %variatie 0.50

8.00

EXAMEN FINAL 2016

ANALIZA SCENARIILOR (WHAT - IF)

Distributia Pesimist Realist Optimist

Normala (10; 1) 13.0 10.0 7.0

Triunghiulara 5.0 4.0 3.0


- 36.0 30.0 24.0


Normala (40; 2) 46 40 34


- 47.15 40.80 34.51



Triunghiulara 14.000 12.000 10.000

- 66.010 39.168 20.706

30.01 9.17 -3.29

ui xi Variabila: V1 Costuri dezvoltare0.5922714 10.233392 1 Min= 7 =a0.2068532 9.1826115 1 Prob= 10 =m0.2511029 9.328977 1 Max= 13 =b0.2205817 9.2297698 10.4148323 9.7848681 1 Histograma frecventei relative/ Ogiva:0.9564623 11.711031 1 n= 10000.247314 9.3170336 1 xmin= 6.6952

0.8402566 10.995513 1 xmax= 13.19670.0705565 8.5283413 1 r= 6.5010.1491488 8.959909 1 nc= 110.4671611 9.9175919 1 lc= 0.591 fabs0.5913702 10.231071 1 10.7508611 10.677202 1 lc1 6.6952 20.9490318 11.635537 1 lc2 7.2862 60.9320694 11.491382 1 lc3 7.8773 410.1250247 8.8497707 1 lc4 8.4683 1070.9890961 12.2937 1 lc5 9.0594 1980.0836819 8.619276 1 lc6 9.6504 2540.8933705 11.244654 1 lc7 10.2415 1960.7700661 10.739064 1 lc8 10.8325 1290.6926056 10.50325 1 lc9 11.4236 490.1905528 9.1241391 1 lc10 12.0146 90.4184602 9.7941658 1 lc11 12.6057 80.9166237 11.382714 1 lc12 13.1967 00.1768312 9.072491 1 10000.4231355 9.8061214 10.4123699 9.7785472 1 Statisticele esantionului0.8822336 11.186227 1 xbar= 10.011 media aritmetica0.3530121 9.622799 1 xmed= 10.014 mediana0.8370579 10.982438 1 xmod= #VALUE! moda0.1820435 9.0923951 1 xmin= 6.695 minim0.6659387 10.428726 1 xmax= 13.197 maxim0.469507 9.9234908 1 r= 6.501 amplitudinea

0.8540318 11.053883 1 s= 0.955 abaterea standard0.2446161 9.3084694 1 s^2= 0.912 dispersia0.7650121 10.722519 10.3630469 9.6496737 1 Cuartile0.4068738 9.7644059 1 LQI= 7.403 limita intercuatilica inferioara0.2053507 9.1773399 1 Q1= 9.363 prima cuartila0.026109 8.0586683 1 Q2= 10.014 a doua cuartila

0.5049368 10.012375 1 Q3= 10.671 a treia cuartile0.5782425 10.197399 1 LQS= 12.631 limita intercuatilica superioara0.3819032 9.699514 10.424071 9.8085105 1 Probabilitati

=

0.6007446 10.255275 1 x0= 19000.4547048 9.8862167 1 x1= 22000.9647755 11.809013 1 #VALUE! #VALUE!0.9988777 13.055812 1 #VALUE! #VALUE!0.6288213 10.328733 1 #VALUE! #VALUE!0.9932113 12.468255 1 #VALUE! #VALUE!0.2756488 9.4041832 10.9993049 13.196697 1 Distributia Uniforma0.459672 9.8987399 1

0.8335051 10.968109 10.6619987 10.417924 10.8017867 10.84802 10.2957683 9.4633894 10.0934573 8.6802385 10.8084359 10.872147 10.238863 9.2900354 1

0.8528553 11.048758 10.1334586 8.88981 10.2847678 9.4312643 10.367305 9.6610003 1

0.9724048 11.917374 10.0478296 8.333728 10.2628469 9.3654067 10.523784 10.059653 1

0.5532498 10.133876 10.3595025 9.6402112 10.3720242 9.6735031 10.7449079 10.658551 10.5176234 10.04419 10.6315341 10.335919 10.2014864 9.1636762 10.2129616 9.2038128 10.9202575 11.406806 10.3553073 9.6289692 10.2125725 9.2024729 10.6672251 10.432264 10.1085463 8.7657038 10.7401346 10.643761 10.9846325 12.160486 10.2605344 9.3583013 10.0232553 8.0092694 10.9125464 11.356604 10.9764034 11.984561 10.2071075 9.1835015 10.2010597 9.1621578 1

Prob(x ≤ x0)=Prob(x ≤ x1)=Prob(x > x1)=

Prob(x0 ≤ x ≤ x1)=

0.4664277 9.9157471 10.1476919 8.9536162 10.540528 10.101764 1

0.3656518 9.656608 10.4604994 9.9008243 10.3524732 9.6213481 10.106611 8.7552456 1

0.1789523 9.0806348 10.3590722 9.6390601 10.3821552 9.7001747 10.628208 10.327111 1

0.3446137 9.6000962 10.5290202 10.072807 10.6379956 10.353106 10.2320811 9.2679897 10.4931823 9.9829097 10.5408246 10.102511 10.450141 9.8746949 1

0.9543273 11.688343 10.2227162 9.236948 10.7307501 10.615083 10.7385994 10.639033 10.0004752 6.6951976 10.3573329 9.634403 10.0232723 8.0095792 10.7522502 10.681588 10.7594179 10.704431 10.3702858 9.6689034 10.7846775 10.788089 10.9476178 11.622182 10.5148919 10.037337 10.2851372 9.4323527 10.5955938 10.241958 10.893707 11.246486 1

0.6315124 10.335862 10.99663 12.709426 1

0.4934447 9.9835675 10.4328131 9.8307832 10.7664686 10.727266 10.1666833 9.032645 10.6898998 10.495566 10.3307381 9.562124 10.8004613 10.84327 10.5649735 10.163591 10.7363281 10.632066 1

0.2034445 9.1706192 10.8531345 11.049972 10.1668914 9.0334774 10.9697481 11.877104 10.5166378 10.041717 10.0689623 8.516436 10.610298 10.280096 1

0.0516752 8.3711768 10.0856801 8.6321537 10.3908674 9.7229409 10.7798097 10.771551 10.2681447 9.3815663 10.4251591 9.8112874 10.238684 9.2894579 1

0.6282385 10.327192 10.2080624 9.1868373 10.8668234 11.1115 10.8744635 11.147747 10.0675374 8.5056143 10.9761062 11.979252 10.3351709 9.574321 10.6685136 10.435812 10.6680036 10.434407 10.2129892 9.2039077 10.0519145 8.3734324 10.7083848 10.548672 10.0631057 8.4707861 10.6368798 10.350131 10.1059706 8.7517544 10.9756312 11.97088 10.1071228 8.7580245 10.1813486 9.0897624 10.0640675 8.4785025 10.4750758 9.9374836 10.7938147 10.819729 10.4654026 9.9131683 1

0.65353 10.394868 10.1964012 9.1454537 10.5942185 10.23841 10.9179245 11.391245 10.1038727 8.7402109 10.7680005 10.732278 10.1266621 8.8576875 10.4113557 9.7759411 10.7854157 10.790615 1

0.9754144 11.967103 10.0842435 8.6229181 10.6491033 10.382901 10.4602008 9.9000722 10.5206586 10.051807 10.2719586 9.3930999 10.3889925 9.7180541 10.8746062 11.148438 10.6014081 10.256993 10.2063183 9.1807375 10.7141943 10.56568 10.0571872 8.4211671 10.0809047 8.6009878 10.8403179 10.995765 10.4862336 9.9654859 10.8307381 10.957086 10.3029382 9.4840315 10.2350388 9.2776471 10.3976856 9.7406578 10.7314438 10.617186 10.132073 8.8833548 1

0.1415864 8.9267807 10.6897407 10.495116 10.6998975 10.524106 10.7837256 10.784838 10.3849718 9.7075514 10.5082589 10.020703 10.7121799 10.559764 10.9246048 11.436745 10.835529 10.976247 1

0.5260847 10.065431 10.1224204 8.8370278 10.4828424 9.956979 10.8523659 11.046635 10.2336302 9.2730563 10.1969253 9.1473451 10.7961931 10.8281 10.8345328 10.972233 10.8082003 10.871283 10.9741112 11.944978 10.6852795 10.482514 10.5128776 10.032285 10.8462206 11.020358 10.3046624 9.4889626 1

0.79017 10.807011 1

0.2948715 9.4607916 10.188356 9.1160293 1

0.1205043 8.8275303 10.7427319 10.651791 10.3533226 9.6236344 10.7458659 10.661537 10.368085 9.6630704 1

0.2921278 9.4528209 10.821461 10.920947 1

0.0060184 7.488936 10.6987844 10.520907 10.9804934 12.064048 10.8612942 11.086153 10.7796127 10.770886 10.9017961 11.291854 10.8374424 10.984001 10.3650771 9.6550796 10.4091843 9.7703562 1

0.43205 9.8288426 10.2492005 9.3229923 10.5585898 10.147395 10.2039524 9.1724138 10.8384221 10.987994 10.3637016 9.6514182 10.3968368 9.7384569 10.4012402 9.7498617 10.3572898 9.6342876 10.9509292 11.653931 10.8492743 11.033326 10.7283799 10.607921 10.2152815 9.2117715 10.510083 10.025277 1

0.1242041 8.8457757 10.224239 9.2420451 10.27747 9.409626 1

0.5939634 10.237752 10.3512226 9.6179782 10.367525 9.6615845 1

0.6412504 10.361803 10.0946137 8.6871318 10.9306069 11.480326 10.2687072 9.3832725 10.8295757 10.95249 10.4495305 9.8731524 10.7048668 10.53845 1

0.5037377 10.009369 10.1633151 9.0190759 10.848576 11.030345 1

0.5144886 10.036325 10.5742782 10.187277 10.7524755 10.6823 10.4310911 9.826403 10.591077 10.230316 1

0.9642208 11.801918 10.0664377 8.4971412 10.2370666 9.2842298 10.0871371 8.6414023 10.7597626 10.705539 10.4059197 9.7619464 10.3032417 9.4849005 10.3658546 9.6571473 10.7358776 10.630688 10.5036608 10.009176 10.8343007 10.971301 10.5395311 10.099253 10.9151717 11.373308 10.4734643 9.9334356 10.7140386 10.565222 10.3321884 9.5661217 10.5572365 10.143966 10.2962628 9.4648203 10.2323476 9.2688624 10.3487958 9.6114264 10.6981177 10.518994 10.1911624 9.1263791 10.1087038 8.766549 10.4817489 9.9542353 10.4863546 9.9657894 10.0829164 8.6142812 10.1433504 8.9346127 10.0827544 8.6132196 10.1740471 9.0617076 10.2009417 9.1617376 10.7775208 10.763847 10.4240853 9.8085469 10.6711249 10.443022 10.7402437 10.644097 10.3459609 9.6037517 10.6078618 10.27375 1

0.48931 9.973201 1

0.2738745 9.3988634 10.2583394 9.3515267 10.5415387 10.104311 10.8755235 11.152896 10.3925679 9.7273676 10.5105183 10.026368 10.4347744 9.8357684 10.3107672 9.5063231 10.6786198 10.463843 10.4392833 9.8472136 10.2029351 9.1688168 10.4987067 9.9967581 10.1957332 9.143039 10.3426363 9.5947213 10.3266277 9.5507558 10.7721821 10.746052 10.091564 8.6688148 1

0.7213709 10.586919 10.5061423 10.015397 10.3303255 9.5609856 10.3764289 9.6851267 10.7826348 10.781123 10.4620273 9.9046723 10.215803 9.2135535 1

0.4951755 9.9879066 10.8113068 10.882722 10.2824627 9.4244589 10.3216786 9.5369901 10.4244816 9.8095585 10.734966 10.627902 1

0.2814074 9.4213342 10.3776929 9.6884544 10.1459877 8.9462018 10.1124146 8.7862132 10.5596986 10.150205 10.2678021 9.3805261 10.4898616 9.9745842 10.6332993 10.340605 10.5622065 10.156566 10.2444672 9.3079954 10.8010239 10.845284 10.3661242 9.6578637 10.5410029 10.102961 10.221471 9.2327652 1

0.0697718 8.5225075 1

0.391732 9.7251924 10.8794788 11.172385 10.5321088 10.080572 10.4932342 9.9830398 10.5288807 10.072456 10.0158515 7.8518649 10.4040147 9.7570311 10.5359602 10.090261 10.1126644 8.7875205 10.251817 9.3312172 1

0.5726438 10.183109 10.6016554 10.257634 10.0419779 8.2718186 10.8543716 11.055369 10.8683512 11.118631 10.4745292 9.9361107 10.7439741 10.655646 10.3778086 9.6887586 10.3590603 9.6390282 1

0.80112 10.845628 10.1496391 8.9620176 10.8163236 10.901443 10.1527696 8.975373 10.9540501 11.68546 10.4159681 9.787781 10.4456822 9.863422 10.4564994 9.8907432 10.6886149 10.491928 10.137608 8.9088706 1

0.5816922 10.206224 10.5203099 10.050931 10.5904523 10.228709 10.4486538 9.8709367 10.098965 8.7125287 1

0.8723408 11.137526 10.1228622 8.8392026 10.8334102 10.967729 10.7126916 10.561265 10.1977868 9.150447 10.9448501 11.596847 10.5599102 10.150741 10.4482017 9.8697939 10.3594414 9.6400476 10.5082042 10.020566 10.1933061 9.1342225 1

0.4818281 9.9544339 10.3863356 9.7111175 10.5031703 10.007947 10.208489 9.1883249 1

0.0929168 8.6769945 10.1129953 8.7892484 10.5677847 10.170737 10.7460619 10.662148 10.8243864 10.932212 10.976295 11.982619 1

0.7215587 10.587478 10.7854006 10.790564 10.5992854 10.251498 10.3804982 9.6958275 10.8899294 11.226153 10.3198005 9.5317434 10.9097437 11.339178 10.0669234 8.5008963 10.8397634 10.993486 1

0.14856 8.9573706 10.9161989 11.379949 1

0.32604 9.5491254 10.8608667 11.084221 10.920935 11.411389 1

0.5564255 10.141913 10.5313477 10.078658 10.0260736 8.0580831 10.2743838 9.4003922 10.3186743 9.528591 10.8841258 11.195867 10.8378035 10.985471 10.2775611 9.4098978 10.6206591 10.307212 10.6601449 10.412859 10.774451 10.753586 10.307281 9.4964278 10.620703 10.307328 1

0.7403653 10.644472 10.4012167 9.749801 10.0863365 8.636335 10.6638977 10.423124 10.2597888 9.3560035 10.0315288 8.141215 10.490837 9.9770298 1

0.1811239 9.0889098 1

0.7521708 10.681337 10.3918528 9.7255067 10.8644591 11.100574 10.603677 10.262876 1

0.7024659 10.531506 10.2732786 9.397073 10.2434728 9.3048248 10.9761522 11.980071 10.2286677 9.2567583 10.8272568 10.94338 10.5180283 10.045206 10.7527847 10.683279 10.5831084 10.209852 10.8037408 10.855059 10.9004958 11.284382 10.8704021 11.128294 10.4081069 9.7675825 10.5675754 10.170205 10.0499333 8.3544997 10.650464 10.386573 1

0.7651503 10.722968 10.3765791 9.6855223 10.019323 7.932063 1

0.4137199 9.7820137 10.1637599 9.0208784 10.3073202 9.4965392 10.0643583 8.480818 10.4414472 9.852699 10.0236917 8.0171436 10.1139718 8.7943269 10.0321538 8.1499589 10.4208567 9.8002978 10.6859396 10.484373 10.4107054 9.7742692 10.962947 11.785959 1

0.6093851 10.277717 10.9532771 11.677495 10.4857683 9.9643189 10.6539755 10.396076 10.4641077 9.9099096 10.9384285 11.541715 10.1569891 8.9930902 10.616777 10.297027 1

0.8929916 11.242596 10.3226678 9.5397482 1

0.7253639 10.598851 10.0080918 7.5952538 10.3946285 9.7327245 10.0282803 8.0933096 10.6642437 10.424073 10.7068485 10.544201 10.7265352 10.602367 10.7763189 10.75982 10.022316 7.9918939 1

0.7397554 10.642592 10.0906999 8.6635428 10.5470672 10.118255 10.886735 11.209346 1

0.2441996 9.3071429 10.8103868 10.879323 10.2804588 9.4185209 10.1293985 8.8707612 10.0624272 8.4652869 10.3500886 9.6149186 10.9155054 11.375459 10.6554624 10.40011 10.1717066 9.0525572 10.5569403 10.143216 10.0932184 8.6788066 10.1261462 8.8552011 10.3177424 9.5259789 10.4293507 9.8219724 10.7241896 10.595333 10.9224949 11.422055 10.9361968 11.523609 10.0703546 8.5268451 10.4741595 9.935182 10.7396026 10.642121 10.918251 11.393403 1

0.3398798 9.5872088 10.9132099 11.360789 10.0976805 8.7051183 10.5339641 10.085239 10.8344009 10.971703 10.6645219 10.424836 1

0.19446 9.1384224 10.8935952 11.245877 10.1312518 8.8795069 10.1763005 9.0704441 10.7837006 10.784752 1

0.4252547 9.8115316 10.7023419 10.531148 10.3843181 9.7058408 10.684958 10.481609 1

0.6600913 10.412712 10.1366088 8.9043171 10.9550214 11.695623 10.6360237 10.34785 10.8106978 10.880471 10.9255064 11.443118 10.4338369 9.8333861 10.6494356 10.383797 10.6652287 10.426776 10.3349109 9.5736073 10.4063444 9.7630414 10.6734705 10.449517 10.5109646 10.027488 10.9485734 11.631176 10.4074141 9.7657981 10.4132861 9.7809002 10.5426316 10.107066 10.963127 11.788186 1

0.5776055 10.195771 10.5016623 10.004167 10.211145 9.1975454 1

0.1238758 8.8441723 10.7816177 10.777668 10.5038096 10.009549 1

0.75457 10.688942 10.2178676 9.2205849 10.3970318 9.7389626 10.1309581 8.8781263 10.7551978 10.690938 10.8079668 10.870428 10.5663085 10.166983 10.3412413 9.5909223 10.5442912 10.111251 10.9104117 11.343295 10.8301957 10.954939 10.9338285 11.504926 10.2232855 9.2388558 10.8807074 11.17853 10.1009107 8.7236205 10.5725407 10.182846 10.3168036 9.5233441 1

0.0311548 8.1359133 10.6580962 10.407273 10.150404 8.9652979 1

0.3795433 9.6933195 10.7659884 10.725699 10.3284877 9.5559071 10.2239892 9.2412103 10.2063051 9.1806912 10.2467728 9.3153197 10.825495 10.936511 10.829991 10.95413 1

0.0163828 7.865055 10.3933138 9.7293076 10.9510204 11.654829 10.8509113 11.04035 10.2213918 9.2324987 10.1781656 9.0776215 10.988652 12.278513 1

0.5141172 10.035394 10.1470059 8.9506386 10.3527427 9.6220737 10.4260693 9.8136095 10.0030765 7.2604898 10.5427207 10.10729 10.8711735 11.131956 10.8711891 11.13203 10.9983366 12.935803 10.6558961 10.401288 10.2049091 9.1757864 10.9978353 12.853111 10.877165 11.160931 1

0.6236592 10.315105 10.1970522 9.1478024 10.3844665 9.7062291 10.6980272 10.518735 10.4668616 9.9168386 10.6886185 10.491938 10.9446753 11.595281 10.2139946 9.2073628 10.1403469 8.9212379 10.8771842 11.161025 10.3754327 9.6825016 10.0795639 8.5919892 10.7667764 10.728272 10.1533913 8.9780036 1

0.1879595 9.1145594 10.5918691 10.232356 10.0316496 8.1429162 10.0141346 7.8064705 10.4462838 9.8649441 10.2824321 9.4243685 10.9677028 11.848055 10.2617948 9.3621782 10.6180573 10.300382 10.505842 10.014644 1

0.7697838 10.738135 10.9501108 11.645929 10.712367 10.560313 10.908951 11.334323 1

0.1077609 8.7614759 10.1611827 9.0103911 10.4002248 9.7472348 10.9076641 11.326507 10.7510972 10.677946 10.762609 10.71472 1

0.4956591 9.9891188 10.1698219 9.0451306 10.5760304 10.191748 10.1383202 8.9121025 10.5178186 10.04468 10.5381925 10.095881 10.695391 10.51119 1

0.1441805 8.9382759 10.5182775 10.045831 10.9412729 11.565549 10.9543968 11.689068 10.972392 11.917172 1

0.4581882 9.8950008 10.8215824 10.921412 10.4299098 9.8233961 10.2615255 9.3613504 10.822817 10.926154 1

0.4587862 9.896508 10.0596611 8.442375 10.6646604 10.425216 10.5202148 10.050693 10.561675 10.155217 1

0.1412512 8.9252852 10.0408546 8.2591457 10.9421409 11.573003 1

0.8489192 11.031809 10.5208137 10.052196 10.5635131 10.159882 10.0540979 8.393644 10.0631441 8.4710961 10.8294981 10.952184 10.5372377 10.093477 10.2907951 9.4489365 10.3563433 9.6317498 10.4537139 9.8837165 10.5126728 10.031771 10.9193003 11.40038 10.3025852 9.4830203 10.7461297 10.66236 10.2833078 9.4269569 10.7156848 10.57007 10.2422107 9.3007909 10.8078902 10.870148 10.9564436 11.710828 10.1576437 8.9958108 10.8009246 10.844928 10.1203989 8.827005 10.3263898 9.550096 10.4136993 9.7819608 10.9977559 12.841643 10.7528838 10.683593 10.1988649 9.1543173 1

0.94718 11.618105 10.4014929 9.7505151 10.4999125 9.9997806 10.7508779 10.677255 10.4110284 9.7750997 10.118545 8.8177084 1

0.6134834 10.28841 10.8351969 10.974907 10.5091193 10.022861 10.3703928 9.6691868 10.6834669 10.477416 10.2840843 9.4292493 10.1762054 9.0700767 10.0423917 8.2764187 10.2623132 9.3637699 10.5826012 10.208553 10.5295819 10.074219 10.7649903 10.722448 1

0.5518354 10.1303 10.1981788 9.1518555 10.2947238 9.4603633 10.4097769 9.771881 10.3090981 9.5015916 10.3484369 9.6104561 10.7928156 10.81623 10.9838615 12.140962 10.9114123 11.349503 10.9182609 11.393468 10.414651 9.7844031 1

0.3653406 9.6557805 10.1041004 8.741472 10.0508984 8.3637959 10.9476072 11.622083 10.0856727 8.6321066 10.4355481 9.8377338 10.9782844 12.019539 10.3317694 9.5649675 10.1643865 9.0234115 10.8254629 10.936387 10.3065163 9.4942505 10.4413151 9.8523641 10.7746882 10.754376 10.7902487 10.807285 10.3429784 9.5956519 10.0704932 8.5278722 10.5955177 10.241762 10.7057988 10.541153 10.2333091 9.2720076 10.656504 10.40294 1

0.7536722 10.686091 10.3065741 9.4944153 10.7153812 10.569175 10.0554907 8.4062025 10.5072001 10.018049 10.2979101 9.4695791 10.3592078 9.639423 10.2525388 9.3334783 10.0188857 7.9226734 10.668139 10.43478 1

0.7841376 10.786244 10.4968723 9.9921599 10.8421821 11.003467 10.0454399 8.3092252 1

0.0483247 8.3386813 10.6114386 10.283071 10.6210051 10.308121 10.2549813 9.3411041 10.838801 10.989542 1

0.7046698 10.537879 10.8982186 11.271466 10.5489899 10.12311 10.3802901 9.695281 10.3486084 9.6109198 10.0385953 8.2327749 10.4384051 9.8449858 10.2028234 9.1684213 10.325396 9.5473378 1

0.7480489 10.668363 10.612804 10.286635 1

0.1388422 8.9144644 10.2930434 9.4554844 10.6562588 10.402274 10.2886611 9.4426996 10.7203554 10.583897 10.2628357 9.3653725 10.6503471 10.386258 10.869485 11.12396 1

0.4316844 9.8279126 10.4885619 9.9713251 10.3542832 9.6262179 10.5285975 10.071745 10.9189269 11.39789 10.7301284 10.613201 10.8688252 11.120855 10.466916 9.9169753 1

0.0860442 8.6344758 10.0204088 7.9546219 10.429822 9.8231726 1

0.0586891 8.4341263 10.7343946 10.626159 10.9350055 11.514146 10.4536203 9.8834803 10.2152165 9.2115492 10.9777231 12.008842 10.7956882 10.826318 10.7763762 10.760012 10.8797881 11.173928 10.5837039 10.211378 1

0.7614809 10.711074 10.9874982 12.241347 10.3970212 9.7389351 10.5307251 10.077093 10.2270678 9.251462 10.1392301 8.916215 10.8934925 11.245317 10.9508393 11.653047 10.8685527 11.119576 10.614042 10.28987 1

0.9962296 12.671971 10.7316557 10.617828 10.9235194 11.42915 10.0382987 8.2292212 10.7103736 10.554476 10.3170872 9.5241404 10.3093762 9.5023807 10.4175565 9.7918515 10.6475345 10.378672 10.6226157 10.312358 10.0424274 8.276814 10.7890456 10.803114 10.8220688 10.923278 10.2828696 9.425662 10.5816487 10.206113 10.5533162 10.134044 10.452423 9.880458 1

0.9088176 11.333509 10.5612259 10.154078 10.8540848 11.054115 10.6809755 10.470428 10.1903906 9.1235421 10.8204478 10.917073 10.4691313 9.9225462 10.9626917 11.782814 10.3435222 9.5971308 10.3156882 9.5202096 10.1580006 8.9972908 10.5977871 10.247623 10.8755114 11.152837 10.8080223 10.870631 10.6888618 10.492627 10.9845243 12.157697 10.9357509 11.520051 10.214328 9.2085065 1

0.0197647 7.9413667 10.1613737 9.0111721 10.1062052 8.753035 10.2710794 9.3904482 10.5849396 10.214547 10.5407617 10.102353 10.2284249 9.255956 10.5677215 10.170576 10.1170146 8.8099563 10.444565 9.8605948 1

0.5121513 10.030464 10.659569 10.411287 1

0.8180615 10.908002 10.1363452 8.9031122 10.5578449 10.145507 10.8885518 11.218862 10.2267823 9.2505143 10.8672024 11.113264 10.3731685 9.6765268 10.767395 10.730295 1

0.1704556 9.0476336 10.3076568 9.4974967 10.2975075 9.4684173 10.1123849 8.7860577 10.5584759 10.147106 10.5381315 10.095728 10.2985794 9.4715093 10.8040183 10.856062 10.7750956 10.755734 10.3123244 9.5107276 10.2548462 9.3406831 10.2468516 9.3155693 10.5585144 10.147204 10.901733 11.291489 1

0.7186268 10.578767 10.6177736 10.299639 10.5935754 10.236752 10.7443626 10.656854 10.0292051 8.107393 10.1609273 9.009346 10.273638 9.3981531 1

0.7712862 10.743089 10.9959082 12.6444 10.5710384 10.179018 10.3937008 9.7303138 1

0.2337863 9.2735656 10.742698 10.651686 1

0.6439395 10.369009 10.6354517 10.346328 10.6013052 10.256727 10.1731215 9.0580982 10.7653946 10.723764 10.2961451 9.4644799 10.0555011 8.406295 10.8301641 10.954814 10.9070811 11.322993 10.4193893 9.796544 10.0746959 8.5583169 10.7513444 10.678727 10.844935 11.014949 1

0.5330208 10.082866 10.2574556 9.3487904 10.8015343 10.847114 10.8410551 10.998804 10.9482907 11.628502 10.5110355 10.027665 10.3956936 9.7354902 10.5488194 10.122679 10.0523112 8.3771543 10.339691 9.5866933 10.290257 9.4473658 1

0.8788339 11.169178 10.7985328 10.836392 10.5425874 10.106954 10.7584028 10.701174 10.5741531 10.186958 10.6154265 10.293491 10.5836442 10.211225 10.3481602 9.6097078 10.822192 10.923751 1

0.1904119 9.1236206 10.0282166 8.0923245 10.1731728 9.0582986 10.0087847 7.6254318 10.3144218 9.5166449 10.0027351 7.2220408 10.592588 10.234207 1

0.3221407 9.5382789 10.636935 10.350278 1

0.6052957 10.267079 1

0.5771755 10.194673 10.474466 9.935952 1

0.7704929 10.740471 10.5609642 10.153414 10.8111778 10.882245 10.7914141 10.811338 10.3505472 9.6161565 10.806184 10.86392 1

0.2616387 9.3616985 10.1408107 8.9233157 10.6406727 10.360258 1

0.96108 11.763359 10.7033676 10.534111 10.5221912 10.055654 10.6944814 10.508594 10.5782918 10.197526 10.0991038 8.7133251 10.2752079 9.4028628 10.6976488 10.51765 10.0919392 8.6710921 10.7246885 10.596827 10.0581583 8.4295765 10.5235657 10.059105 10.2222273 9.2353075 10.8953992 11.255764 10.5035995 10.009023 10.4079863 9.767272 10.0495742 8.3510034 10.0678154 8.5077393 10.698253 10.519382 1

0.6309412 10.334347 10.2613455 9.3607973 10.5614601 10.154672 10.0558549 8.409445 10.8328843 10.965626 10.2962625 9.4648193 10.2614095 9.3609938 10.5450763 10.113231 10.5751929 10.189611 10.8616205 11.087629 10.6397431 10.357772 10.7041061 10.536247 10.897376 11.266741 1

0.2727495 9.3954816 10.3136062 9.5143458 1

0.5903844 10.228534 10.520008 10.050174 1

0.1351432 8.8975969 10.0878959 8.6461737 10.8305603 10.956382 10.3780911 9.6895018 10.5100977 10.025314 10.0939651 8.6832734 10.6760741 10.456749 10.6220345 10.310828 10.0728914 8.5454099 1

Normala (10; 1) 10 1

xbar= 10s= 1.0

frel frelcum mj f(x) F(x)0.001 00.003 0.003 6.9907203 0.003 0.000.006 0.009 7.5817657 0.013 0.000.041 0.05 8.1728112 0.044 0.020.107 0.157 8.7638566 0.110 0.060.198 0.355 9.3549021 0.191 0.170.254 0.609 9.9459475 0.235 0.360.196 0.805 10.536993 0.204 0.600.129 0.934 11.128038 0.125 0.800.049 0.983 11.719084 0.054 0.920.009 0.992 12.310129 0.016 0.980.008 1 12.901175 0.004 1.00

0 1.001

limita intercuatilica inferioara 1111

limita intercuatilica superioara 1

6.99072030637.58176574828.17281119018.7638566329.35490207389.945947515710.536992957611.128038399411.719083841312.310129283212.9011747250

0.05

0.1

0.15

0.2

0.25

0.3

Histograma frecventei relative - Distributia Normala - V1

Clase

Frecventa relativa

1600 1700 1800 1900 2000 2100 2200 2300 24000.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

Distributia frecventei relative cumulate (Ogiva) - Distributia Normala - V1

Clase

Probabilitatea

1600 1700 1800 1900 2000 2100 2200 2300 2400

Diagrama Box Plot - Distributia Normala - V1

u iabaxi )(

Linia xLQ1-Q1 7.403

9.363Q1Q3L 9.363

10.671Linia xX0V 1900

1900Linia xX1V 2200

2200

1600 1700 1800 1900 2000 2100 2200 2300 2400


6.99072030637.58176574828.17281119018.7638566329.35490207389.945947515710.536992957611.128038399411.719083841312.310129283212.9011747250

0.05

0.1

0.15

0.2

0.25

0.3

Histograma frecventei relative - Distributia Normala - V1

Clase

Frecventa relativa

1600 1700 1800 1900 2000 2100 2200 2300 24000.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

Distributia frecventei relative cumulate (Ogiva) - Distributia Normala - V1

Clase

Probabilitatea

1600 1700 1800 1900 2000 2100 2200 2300 2400


y Linia x y1 Q3-LQS 10.671 11 12.631 1

0.9 Q1Q3H 9.363 1.10.9 10.671 1.1y Linia x y0 X0O 0 #VALUE!

#VALUE! 1900 #VALUE!y Linia x y0 X1O 0 #VALUE!

#VALUE! 2200 #VALUE!

1600 1700 1800 1900 2000 2100 2200 2300 2400


nj 1 2 3 4 5 6fabs faj 3 6 41 107 198 254

3 fej 91 91 91 91 91 916 faj-fej -88 -85 -50 16 107 163

41 (faj-fej)^2 7744 7225 2500 256 11449 26569107 (faj-fej)^2/fej 85.099 79.396 27.473 2.8132 125.81 291.97198254 917.57196 grade libertate 10129 18.30749 0.059 Decizie: Respingere uniformitate8

1000

Testul2

2calculat=

2critic==

7 8 9 10 11 TOTAL196 129 49 9 8 1000

91 91 91 91 90 1000105 38 -42 -82 -82 -

11025 1444 1764 6724 6724 -121.15 15.868 19.385 73.89 74.711 917.56825

ui xi1 xi2 xi Variabila: V20.8489489 4.3030341 4.4503618 4.4503618 1 Min= 3.000.0958736 3.4378895 3.6552871 3.4378895 1 Prob 4.000.4527773 3.9516063 3.9538425 3.9516063 1 Max= 5.000.3795184 3.8712272 3.8860148 3.8712272 10.9978292 4.4126778 4.9341094 4.9341094 1 Histograma frecventei relative/ Ogiva:0.3444637 3.8300165 3.8549792 3.8300165 1 n= 10000.6559114 4.1453483 4.1704355 4.1704355 1 xmin= 3.03740.7681581 4.2394822 4.3190566 4.3190566 1 xmax= 4.97250.8190256 4.2798637 4.3983781 4.3983781 1 r= 1.9350.3029301 3.7783702 3.819263 3.7783702 1 nc= 110.9470277 4.3762469 4.6745087 4.6745087 1 lc= 0.1760.2590418 3.7197802 3.7826601 3.7197802 10.7479529 4.2230723 4.2900041 4.2900041 1 lc1 3.03740.3104051 3.7879151 3.8256109 3.7879151 1 lc2 3.21330.8904492 4.3345031 4.5319171 4.5319171 1 lc3 3.38920.8570166 4.3092109 4.4652413 4.4652413 1 lc4 3.56510.2058862 3.641695 3.739751 3.641695 1 lc5 3.74100.2187712 3.6614699 3.750017 3.6614699 1 lc6 3.91700.5021813 4.002179 4.0021837 4.0021837 1 lc7 4.09290.4086399 3.9040352 3.9124706 3.9040352 1 lc8 4.26880.5530898 4.0517508 4.0545793 4.0545793 1 lc9 4.44470.9560029 4.382753 4.703362 4.703362 1 lc10 4.62060.7418964 4.2181104 4.2815244 4.2815244 1 lc11 4.79660.9728609 4.3948913 4.7670233 4.7670233 1 lc12 4.97250.2049647 3.6402572 3.73902 3.6402572 10.1541015 3.5551604 3.6993091 3.5551604 10.5619857 4.0601752 4.0640361 4.0640361 1 Statisticele esantionului0.1095171 3.468011 3.6654717 3.468011 1 xbar= 4.0330.7967059 4.2623042 4.3623573 4.3623573 1 xmed= 4.0210.2017768 3.6352587 3.7364944 3.6352587 1 xmod= #VALUE!0.3580548 3.8462326 3.8669111 3.8462326 1 xmin= 3.0370.5885289 4.0849229 4.0928384 4.0928384 1 xmax= 4.9720.9410696 4.3719108 4.6566915 4.6566915 1 r= 1.9350.7965792 4.2622037 4.3621586 4.3621586 1 s= 0.4110.0064202 3.1133159 3.5903335 3.1133159 1 s^2= 0.1690.4024656 3.8971795 3.9068079 3.8971795 10.9639198 4.3884666 4.7313732 4.7313732 1 Cuartile0.8898851 4.3340803 4.5307135 4.5307135 1 LQI= 2.8390.2027712 3.6368221 3.7372817 3.6368221 1 Q1= 3.7440.7686437 4.2398739 4.3197702 4.3197702 1 Q2= 4.0210.6412642 4.1324877 4.152963 4.152963 1 Q3= 4.3480.8218082 4.282036 4.4030212 4.4030212 1 LQS= 5.2530.9080507 4.3476281 4.5711661 4.5711661 10.3320686 3.8149462 3.8442047 3.8149462 1 Probabilitati0.5080898 4.0080574 4.0081228 4.0081228 1 x0= 0.060.4708667 3.9704295 3.9712791 3.9704295 1 x1= 0.080.4945267 3.9945116 3.9945416 3.9945116 1 #VALUE!

=

Prob(x ≤ x0)=

0.2455314 3.7007587 3.7716119 3.7007587 1 #VALUE!0.0439798 3.2965797 3.6172345 3.2965797 1 #VALUE!0.3040841 3.7798514 3.8202408 3.7798514 1 #VALUE!0.9254367 4.3604681 4.6138308 4.6138308 10.8792271 4.3260672 4.508527 4.508527 1 Distributia Uniforma0.9196118 4.3561798 4.5990307 4.5990307 10.2964451 3.7699937 3.8137834 3.7699937 10.2733352 3.7393716 3.7944588 3.7393716 10.7404462 4.2169193 4.2795088 4.2795088 10.9071159 4.3469342 4.5689917 4.5689917 10.7811609 4.2499287 4.3384274 4.3384274 10.4755955 3.9752902 3.9758862 3.9752902 10.3683085 3.8582639 3.8759969 3.8582639 10.2652255 3.7283207 3.7877504 3.7283207 10.9065109 4.346485 4.5675902 4.5675902 10.0127035 3.159396 3.5947979 3.159396 10.4155194 3.9116133 3.9188149 3.9116133 10.7084101 4.1903025 4.2363378 4.2363378 10.4327833 3.9303583 3.9349022 3.9303583 10.9267547 4.3614365 4.6172592 4.6172592 10.074244 3.3853413 3.6392972 3.3853413 1

0.1666805 3.5773743 3.7090163 3.5773743 10.3951323 3.8889683 3.9001203 3.8889683 10.4145082 3.9105034 3.91788 3.9105034 10.9647197 4.3890426 4.7343676 4.7343676 10.7573871 4.2307616 4.3034185 4.3034185 10.3434944 3.8288478 3.854133 3.8288478 10.0613754 3.3503582 3.6298726 3.3503582 10.775476 4.2453723 4.3298896 4.3298896 1

0.6844715 4.1700184 4.205609 4.205609 10.2254588 3.671504 3.7553786 3.671504 10.8197788 4.2804521 4.3996314 4.3996314 10.5972497 4.0929316 4.1025032 4.1025032 10.0267583 3.2313367 3.6048357 3.2313367 10.2579889 3.7183159 3.7817955 3.7183159 10.3859197 3.8785439 3.8917759 3.8785439 10.5010654 4.0010648 4.0010659 4.0010659 10.0013895 3.0527165 3.5867693 3.0527165 10.5092638 4.0092213 4.0093072 4.0093072 10.7961313 4.2618489 4.3614569 4.3614569 10.8778715 4.3250446 4.5057764 4.5057764 10.3478634 3.8341024 3.8579522 3.8341024 10.6005167 4.0959167 4.1061507 4.1061507 10.5732017 4.0707023 4.0760971 4.0760971 10.2832292 3.7526343 3.802694 3.7526343 10.8111343 4.2736831 4.3854015 4.3854015 10.8749341 4.3228258 4.4998682 4.4998682 10.2008922 3.6338647 3.7357945 3.6338647 1

Prob(x ≤ x1)=Prob(x > x1)=

Prob(x0 ≤ x ≤ x1)=

0.666514 4.1545684 4.1833165 4.1833165 10.8758648 4.3235292 4.5017326 4.5017326 10.2602795 3.7214978 3.7836773 3.7214978 10.0777057 3.3942225 3.6418437 3.3942225 10.1958778 3.6259038 3.7318342 3.6259038 10.5640788 4.0621477 4.066275 4.066275 10.7085034 4.1903809 4.2364601 4.2364601 10.5503492 4.0491418 4.0516849 4.0516849 10.0278181 3.2358734 3.6055956 3.2358734 10.550019 4.048827 4.0513367 4.0513367 1

0.2200031 3.6633297 3.7510029 3.6633297 10.8261147 4.2853907 4.4102792 4.4102792 10.4207485 3.9173314 3.9236622 3.9173314 10.5064938 4.0064729 4.006515 4.006515 10.1770717 3.5950995 3.7170906 3.5950995 10.8371667 4.2939603 4.4293279 4.4293279 10.3159358 3.7949036 3.8303298 3.7949036 10.6259718 4.1189028 4.1350974 4.1350974 10.0633613 3.3559811 3.6313227 3.3559811 10.0612438 3.3499822 3.6297765 3.3499822 10.1775837 3.5959592 3.7174897 3.5959592 10.1227373 3.4954539 3.675415 3.4954539 10.9137261 4.3518329 4.5846112 4.5846112 10.4308121 3.9282372 3.9330531 3.9282372 10.9843514 4.4031047 4.8230899 4.8230899 10.6322037 4.1244587 4.142333 4.142333 10.9967839 4.4119376 4.9197985 4.9197985 10.7051069 4.1875243 4.2320247 4.2320247 10.9865686 4.404684 4.8361013 4.8361013 10.9678845 4.3913192 4.7465616 4.7465616 10.9036308 4.3443443 4.5609801 4.5609801 10.8676209 4.3172858 4.4854534 4.4854534 10.8921651 4.3357882 4.5355974 4.5355974 10.4135811 3.9094846 3.9170236 3.9094846 10.6230362 4.1162762 4.13171 4.13171 10.3178094 3.7972571 3.8319327 3.7972571 10.5286526 4.0282534 4.0290752 4.0290752 10.006914 3.1175924 3.5906838 3.1175924 1

0.8429826 4.2984472 4.4396119 4.4396119 10.8331907 4.2908839 4.4224027 4.4224027 10.1425253 3.5339014 3.6904393 3.5339014 10.1497955 3.5473491 3.6960027 3.5473491 10.5070392 4.0070146 4.0070642 4.0070642 10.7083883 4.1902843 4.2363094 4.2363094 10.5355599 4.0349492 4.0362157 4.0362157 10.3096115 3.7869072 3.8249353 3.7869072 10.608973 4.1036059 4.1156618 4.1156618 1

0.8515333 4.3050159 4.455084 4.455084 1

0.5529296 4.0515984 4.0544099 4.0544099 10.0945888 3.4349456 3.654332 3.4349456 10.1088149 3.466508 3.6649456 3.466508 10.4202953 3.9168373 3.9232412 3.9168373 10.2938031 3.7665547 3.8115582 3.7665547 10.5753844 4.0727389 4.0784626 4.0784626 10.7688711 4.2400574 4.3201046 4.3201046 10.476223 3.9759334 3.9764992 3.9759334 1

0.3683642 3.8583289 3.8760465 3.8583289 10.9347266 4.3672795 4.6386874 4.6386874 10.0753171 3.3881162 3.6400861 3.3881162 10.4953875 3.9953768 3.9953981 3.9953768 10.090352 3.4250929 3.6511872 3.4250929 1

0.8967781 4.3392372 4.5456392 4.5456392 10.5229683 4.0227104 4.0232383 4.0232383 10.8163681 4.2777857 4.3939771 4.3939771 10.2383913 3.6904945 3.7658131 3.6904945 10.8199699 4.2806014 4.3999499 4.3999499 10.3655506 3.8550446 3.873546 3.8550446 10.5478484 4.0467554 4.0490514 4.0490514 10.7432549 4.2192251 4.2834177 4.2834177 10.5169688 4.0168272 4.0171152 4.0171152 10.965036 4.3892703 4.7355608 4.7355608 1

0.2768009 3.7440442 3.797337 3.7440442 10.4475084 3.9460532 3.9488182 3.9460532 10.8123806 4.2746612 4.3874326 4.3874326 10.3285342 3.8105976 3.8411507 3.8105976 10.5548105 4.0533855 4.056401 4.056401 10.2562784 3.7159307 3.7803922 3.7159307 10.1623307 3.5697906 3.7056513 3.5697906 10.5296052 4.0291794 4.0300569 4.0300569 10.3334788 3.8166747 3.8454254 3.8166747 10.5613704 4.0595946 4.0633788 4.0633788 10.7599606 4.2328509 4.3071229 4.3071229 10.5279037 4.0275249 4.0283042 4.0283042 10.634759 4.1267289 4.1453176 4.1453176 1

0.6243667 4.1174674 4.1332436 4.1332436 10.890289 4.334383 4.531575 4.531575 1

0.8393039 4.295611 4.4330854 4.4330854 10.258682 3.7192803 3.7823646 3.7192803 1

0.9861253 4.4043684 4.8334183 4.8334183 10.5807217 4.0777028 4.0842726 4.0842726 10.5837577 4.0805163 4.0875941 4.0875941 10.7944976 4.2605536 4.3589035 4.3589035 10.837857 4.2944938 4.4305389 4.4305389 1

0.4493128 3.9479587 3.9505362 3.9479587 10.8589415 4.3106804 4.4688532 4.4688532 10.6726882 4.1599036 4.1909119 4.1909119 1

0.5126028 4.0125244 4.0126832 4.0126832 10.8127816 4.2749758 4.3880877 4.3880877 10.2387709 3.6910439 3.7661206 3.6910439 10.3554418 3.8431391 3.8646074 3.8431391 10.2389874 3.6913573 3.7662962 3.6913573 10.7583262 4.2315245 4.304768 4.304768 10.483442 3.9833026 3.9835769 3.9833026 10.288478 3.7595762 3.8070859 3.7595762 1

0.0277708 3.2356725 3.6055616 3.2356725 10.5104492 4.0103952 4.0105044 4.0105044 10.2585337 3.719074 3.7822428 3.719074 10.9905516 4.4075167 4.8625342 4.8625342 10.6376847 4.1293226 4.1487477 4.1487477 10.9037314 4.3444191 4.5612094 4.5612094 10.3900088 3.883186 3.8954718 3.883186 10.9357567 4.3680327 4.6415498 4.6415498 10.7688292 4.2400236 4.320043 4.320043 10.9423477 4.3728421 4.6604347 4.6604347 10.9661377 4.3900631 4.7397605 4.7397605 10.1280125 3.5059892 3.6794036 3.5059892 10.3222332 3.8027867 3.8357262 3.8027867 10.8997232 4.3414345 4.5521679 4.5521679 10.340793 3.8255822 3.8517779 3.8255822 1

0.9729633 4.3949648 4.7674633 4.7674633 10.5684998 4.0663018 4.0710219 4.0710219 10.5833717 4.080159 4.0871711 4.0871711 10.0038056 3.0872427 3.58848 3.0872427 10.8315303 4.2895971 4.4195352 4.4195352 10.6236881 4.11686 4.132461 4.132461 10.0372149 3.2728181 3.6123508 3.2728181 10.9919258 4.4084927 4.872924 4.872924 10.5170722 4.0169289 4.0172205 4.0172205 10.3609105 3.8496004 3.8694342 3.8496004 10.9184718 4.3553389 4.5961976 4.5961976 10.6452025 4.13596 4.1576254 4.1576254 10.8694025 4.3186376 4.4889277 4.4889277 10.1007667 3.4489248 3.6589308 3.4489248 10.5776992 4.0748946 4.0809779 4.0809779 10.145573 3.5395795 3.6927686 3.5395795 1

0.4149536 3.9109924 3.9182917 3.9109924 10.9972517 4.4122689 4.9258608 4.9258608 10.7772243 4.2467753 4.3325036 4.3325036 10.0282477 3.2376877 3.6059037 3.2376877 10.474597 3.9742659 3.9749117 3.9742659 1

0.3933802 3.8869951 3.8985284 3.8869951 10.5115306 4.0114648 4.0115978 4.0115978 10.9355003 4.3678453 4.6408353 4.6408353 10.3746419 3.8656118 3.8816457 3.8656118 1

0.3312169 3.8139004 3.8434681 3.8139004 10.218509 3.6610733 3.7498072 3.6610733 1

0.7357509 4.2130547 4.2730212 4.2730212 10.418182 3.9145294 3.9212804 3.9145294 1

0.6122605 4.1065807 4.1193871 4.1193871 10.7748177 4.2448435 4.3289079 4.3289079 10.578129 4.0752944 4.0814457 4.0814457 1

0.6571854 4.1464601 4.1719727 4.1719727 10.8361003 4.293136 4.4274623 4.4274623 10.8438726 4.2991325 4.4412024 4.4412024 10.2522444 3.7102738 3.7770891 3.7102738 10.8634378 4.3141064 4.4773869 4.4773869 10.3637424 3.8529272 3.8719419 3.8529272 10.2873747 3.7581223 3.8061614 3.7581223 10.4839156 3.9837841 3.9840429 3.9837841 10.3742257 3.8651308 3.8812736 3.8651308 10.3024334 3.7777319 3.8188425 3.7777319 10.3828057 3.8749923 3.8889696 3.8749923 10.3222526 3.8028108 3.8357428 3.8028108 10.3566842 3.8446114 3.8657021 3.8446114 10.9836312 4.4025913 4.8190646 4.8190646 10.6975136 4.1811127 4.2222001 4.2222001 10.193043 3.6213581 3.7296008 3.6213581 1

0.6962173 4.1800147 4.2205352 4.2205352 10.5300972 4.0296574 4.0305643 4.0305643 10.4070421 3.9022661 3.9110024 3.9022661 1

0.33811 3.822326 3.8494436 3.822326 10.0820521 3.4050976 3.6450476 3.4050976 10.0462889 3.304266 3.6189054 3.304266 10.3929452 3.8865046 3.8981336 3.8865046 10.822813 4.2828196 4.4047068 4.4047068 10.596876 4.0925896 4.1020869 4.1020869 1

0.2548133 3.7138814 3.7791915 3.7138814 10.6298226 4.1223392 4.1395613 4.1395613 10.7991508 4.2642396 4.3662032 4.3662032 10.9723251 4.3945071 4.7647345 4.7647345 10.7247357 4.20394 4.2580239 4.2580239 10.8864331 4.3314902 4.5234144 4.5234144 10.4822161 3.9820551 3.9823714 3.9820551 10.7188831 4.1990689 4.2501774 4.2501774 10.6757143 4.1625096 4.1946607 4.1946607 10.2760641 3.7430533 3.7967246 3.7430533 10.1869861 3.6115327 3.7248421 3.6115327 10.9277726 4.362184 4.6199278 4.6199278 10.2577506 3.7179841 3.7815999 3.7179841 10.0488999 3.3127296 3.6207973 3.3127296 10.9265041 4.3612524 4.6166049 4.6166049 10.0310719 3.2492867 3.607931 3.2492867 1

0.4257191 3.9227341 3.9282903 3.9227341 10.6363812 4.1281677 4.1472178 4.1472178 10.2317967 3.6808769 3.7604813 3.6808769 10.0296776 3.2436294 3.6069297 3.2436294 10.0934104 3.4322278 3.6534566 3.4322278 10.4091347 3.9045825 3.9129257 3.9045825 10.1163995 3.4824925 3.6706389 3.4824925 10.9301191 4.3639055 4.6261527 4.6261527 10.9379213 4.3696141 4.6476403 4.6476403 10.0690506 3.3716196 3.6354859 3.3716196 10.3626671 3.8516656 3.870989 3.8516656 10.5613592 4.0595841 4.0633669 4.0633669 10.5494182 4.048254 4.0507037 4.0507037 10.5912575 4.0874351 4.0958512 4.0958512 10.355687 3.8434299 3.8648234 3.8434299 1

0.1174418 3.4846479 3.6714232 3.4846479 10.9730411 4.3950205 4.7677981 4.7677981 10.4254183 3.9224081 3.9280097 3.9224081 10.4169639 3.9131965 3.9201518 3.9131965 10.6405749 4.1318789 4.1521496 4.1521496 10.5104795 4.0104251 4.010535 4.010535 10.7468722 4.2221884 4.2884836 4.2884836 10.6429877 4.1340085 4.1550002 4.1550002 10.6318208 4.1241181 4.1418867 4.1418867 10.867099 4.3168895 4.4844401 4.4844401 1

0.9367437 4.3687539 4.6443138 4.6443138 10.9403213 4.3713652 4.6545186 4.6545186 10.2322118 3.6814863 3.7608162 3.6814863 10.2945757 3.7675619 3.8122085 3.7675619 10.1285252 3.5070014 3.6797919 3.5070014 10.4225137 3.9192537 3.9253035 3.9192537 10.5450928 4.0441196 4.0461581 4.0461581 10.7975543 4.2629761 4.3636892 4.3636892 10.5499171 4.0487298 4.0512293 4.0512293 10.136577 3.5226413 3.6859048 3.5226413 1

0.6692357 4.1569233 4.1866559 4.1866559 10.7823736 4.2508985 4.340263 4.340263 10.1387508 3.5267842 3.6875601 3.5267842 10.7244755 4.2037238 4.2576732 4.2576732 10.9873191 4.4052182 4.8407461 4.8407461 10.5636878 4.0617795 4.0658564 4.0658564 10.8114162 4.2739044 4.3858603 4.3858603 10.3693812 3.8595129 3.8769516 3.8595129 10.9919248 4.408492 4.872916 4.872916 10.2603453 3.7215889 3.7837314 3.7215889 10.7389821 4.2157155 4.2774796 4.2774796 10.8845037 4.3300404 4.5193832 4.5193832 10.8859321 4.3311139 4.5223644 4.5223644 1

0.1803268 3.6005444 3.7196304 3.6005444 10.2446879 3.699554 3.7709255 3.699554 10.7494319 4.2242809 4.2920902 4.2920902 10.3502058 3.836906 3.8600051 3.836906 10.4067649 3.9019589 3.9107479 3.9019589 10.8174917 4.2786647 4.395834 4.395834 10.3115837 3.7894095 3.8266149 3.7894095 10.0801684 3.4004207 3.6436581 3.4004207 10.0041938 3.0915838 3.588755 3.0915838 10.3947534 3.888542 3.8997759 3.888542 10.8665783 4.3164941 4.4834312 4.4834312 10.3894501 3.8825533 3.8949662 3.8825533 10.852921 4.3060789 4.4576367 4.4576367 1

0.2786071 3.7464678 3.7988398 3.7464678 10.8301984 4.2885638 4.4172451 4.4172451 10.3378063 3.8219566 3.8491797 3.8219566 10.5604746 4.0587489 4.0624229 4.0624229 10.1311079 3.5120701 3.6817495 3.5120701 10.9249376 4.3601012 4.6125407 4.6125407 10.7647493 4.236729 4.314069 4.314069 10.0500758 3.3164675 3.6216501 3.3164675 10.9481714 4.3770776 4.6780417 4.6780417 10.3407212 3.8254953 3.8517154 3.8254953 10.6259959 4.1189244 4.1351253 4.1351253 10.9670481 4.3907178 4.7432825 4.7432825 10.7844407 4.2525499 4.3434037 4.3434037 10.523627 4.0233543 4.0239129 4.0239129 1

0.9755741 4.3968351 4.7789758 4.7789758 10.7280088 4.2066555 4.2624483 4.2624483 10.5897467 4.0860448 4.0941818 4.0941818 10.7176323 4.1980253 4.2485113 4.2485113 10.3217139 3.8021396 3.8352802 3.8021396 10.3801533 3.8719556 3.8865848 3.8719556 10.2771583 3.7445244 3.7976343 3.7445244 10.2014493 3.6347429 3.7362352 3.6347429 10.888658 4.3331602 4.528106 4.528106 1

0.1308226 3.5115126 3.6815331 3.5115126 10.3466828 3.8326858 3.8569189 3.8326858 10.357126 3.8451343 3.8660917 3.8451343 1

0.5180536 4.0178935 4.0182196 4.0182196 10.1999756 3.632417 3.7350697 3.632417 10.8122549 4.2745626 4.3872274 4.3872274 10.9597946 4.3854924 4.716432 4.716432 10.1665769 3.5771948 3.708936 3.5771948 10.9755693 4.3968317 4.778954 4.778954 10.7583314 4.2315287 4.3047755 4.3047755 10.5444414 4.0434954 4.0454754 4.0454754 10.1054817 3.4593074 3.6624512 3.4593074 1

0.3070047 3.7835875 3.822719 3.7835875 10.4170476 3.9132881 3.9202292 3.9132881 10.0928631 3.4309597 3.6530502 3.4309597 10.1076445 3.4639924 3.6640692 3.4639924 10.0774036 3.3934554 3.6416212 3.3934554 10.2857058 3.7559177 3.8047643 3.7559177 10.1418309 3.5325992 3.6899091 3.5325992 10.9589853 4.3849082 4.7135924 4.7135924 10.8415542 4.2973466 4.4370687 4.4370687 10.0655203 3.3619954 3.6329011 3.3619954 10.072021 3.3795286 3.6376645 3.3795286 1

0.9207472 4.3570167 4.6018724 4.6018724 10.8049401 4.2688105 4.3754042 4.3754042 10.550585 4.0493665 4.0519336 4.0519336 1

0.6667599 4.1547813 4.1836177 4.1836177 10.4025408 3.8972634 3.9068768 3.8972634 10.9996211 4.4139456 4.9724702 4.9724702 10.5503766 4.0491678 4.0517137 4.0517137 10.2829335 3.7522413 3.8024471 3.7522413 10.1421124 3.5331273 3.6901239 3.5331273 10.8004354 4.2652552 4.3682332 4.3682332 10.6127244 4.1069999 4.1199141 4.1199141 10.2148724 3.6555492 3.7469017 3.6555492 10.8220339 4.2822121 4.4033995 4.4033995 10.2601022 3.721252 3.7835315 3.721252 10.8200657 4.2806761 4.4001095 4.4001095 10.6871908 4.1723402 4.2090396 4.2090396 10.9286599 4.3628352 4.6222696 4.6222696 10.6361837 4.1279926 4.1469862 4.1469862 10.4939286 3.99391 3.9939469 3.99391 10.3836172 3.8759192 3.8897002 3.8759192 10.2289587 3.676696 3.7581938 3.676696 10.8931054 4.336492 4.5376266 4.5376266 10.0950144 3.4359229 3.6546483 3.4359229 10.4341127 3.9317861 3.936151 3.9317861 10.4308959 3.9283274 3.9331316 3.9283274 10.242934 3.6970423 3.7694993 3.6970423 1

0.5466576 4.0456171 4.0478 4.0478 10.2010475 3.6341097 3.7359174 3.6341097 10.9775286 4.3982336 4.7880028 4.7880028 10.0046564 3.0965025 3.5890828 3.0965025 1

0.59106 4.0872535 4.0956329 4.0956329 10.2470871 3.7029752 3.772879 3.7029752 10.8052564 4.2690598 4.3759109 4.3759109 10.5862597 4.0828293 4.0903404 4.0903404 10.408247 3.9036006 3.9121094 3.9036006 1

0.9000597 4.3416853 4.55292 4.55292 10.8598182 4.3113491 4.4705063 4.4705063 1

0.7604123 4.2332171 4.307775 4.307775 10.5800655 4.0770938 4.0835564 4.0835564 10.5321816 4.0316798 4.0327168 4.0327168 10.3019969 3.7771703 3.8184729 3.7771703 10.3652288 3.8546681 3.8732602 3.8546681 10.7926587 4.2590939 4.3560415 4.3560415 10.9391517 4.3705121 4.6511495 4.6511495 10.6589379 4.1479877 4.1740919 4.1740919 10.7408102 4.2172183 4.2800141 4.2800141 10.5395797 4.0388259 4.0403956 4.0403956 10.9191487 4.3558382 4.5978773 4.5978773 10.4976091 3.9976062 3.9976119 3.9976062 10.7768108 4.2464436 4.3318845 4.3318845 10.7444013 4.220165 4.2850193 4.2850193 10.1029173 3.45369 3.6605354 3.45369 10.1287048 3.5073555 3.6799279 3.5073555 10.2991838 3.7735423 3.8160945 3.7735423 10.8693007 4.3185603 4.4887284 4.4887284 10.6183135 4.1120373 4.1262878 4.1262878 10.9891208 4.4064998 4.852493 4.852493 10.5482096 4.0471003 4.0494313 4.0494313 10.8158477 4.2773783 4.393119 4.393119 10.4219649 3.9186566 3.924793 3.9186566 10.809391 4.2723136 4.3825714 4.3825714 1

0.6666642 4.1546984 4.1835004 4.1835004 10.0133489 3.1633947 3.5952573 3.1633947 1

0.8517 4.3051437 4.4553901 4.4553901 10.3844284 3.8768447 3.890431 3.8768447 10.440461 3.9385744 3.9421352 3.9385744 1

0.9196311 4.356194 4.5990789 4.5990789 10.0044962 3.0948287 3.5889693 3.0948287 10.5403496 4.0395668 4.0411983 4.0411983 10.7551827 4.2289692 4.300261 4.300261 10.6028396 4.0980343 4.1087532 4.1087532 10.3523266 3.8394362 3.861867 3.8394362 10.757885 4.2311661 4.3041336 4.3041336 1

0.9931317 4.4093486 4.8827966 4.8827966 10.6926753 4.1770092 4.2160042 4.2160042 10.864355 4.3148042 4.479145 4.479145 1

0.9519445 4.3798149 4.6899824 4.6899824 10.040313 3.2839472 3.6145853 3.2839472 1

0.3755737 3.8666876 3.8824792 3.8666876 10.5337992 4.0332466 4.0343906 4.0343906 10.0316503 3.251596 3.6083465 3.251596 10.1150126 3.4796094 3.669596 3.4796094 10.4609058 3.9601102 3.9616415 3.9601102 10.1603196 3.5662502 3.7040985 3.5662502 10.3974307 3.8915499 3.9022119 3.8915499 1

0.069274 3.3722203 3.6356496 3.3722203 10.9045676 4.345041 4.5631192 4.5631192 10.6554768 4.1449689 4.1699119 4.1699119 10.8346233 4.2919933 4.4248884 4.4248884 10.5536719 4.052304 4.0551951 4.0551951 10.7573791 4.2307551 4.3034069 4.3034069 10.915851 4.3534038 4.5897586 4.5897586 1

0.5148135 4.0147054 4.0149249 4.0149249 10.5946826 4.0905802 4.0996474 4.0996474 10.8467753 4.3013649 4.4464213 4.4464213 10.2141589 3.65446 3.7463325 3.65446 10.7560737 4.229694 4.3015356 4.3015356 10.5943194 4.0902471 4.0992441 4.0992441 10.9773613 4.398114 4.7872153 4.7872153 10.1509402 3.5494365 3.6968808 3.5494365 10.4598352 3.9589945 3.960611 3.9589945 10.9273705 4.3618887 4.6188713 4.6188713 10.953298 4.3807954 4.6943792 4.6943792 1

0.9689831 4.3921085 4.750934 4.750934 10.72623 4.2051805 4.2600406 4.2600406 1

0.9789162 4.3992257 4.7946526 4.7946526 10.4589444 3.9580651 3.9597542 3.9580651 10.3730093 3.8637237 3.8801869 3.8637237 10.5907879 4.0870031 4.095332 4.095332 10.3639308 3.8531481 3.8721089 3.8531481 10.0937973 3.4331219 3.6537439 3.4331219 10.8842422 4.3298438 4.5188394 4.5188394 10.5076449 4.0076159 4.0076744 4.0076744 10.5402471 4.0394682 4.0410913 4.0410913 10.8940591 4.3372054 4.5396939 4.5396939 10.6754509 4.162283 4.1943337 4.1943337 10.0893369 3.4226982 3.6504348 3.4226982 10.3236608 3.804563 3.836953 3.804563 10.9008078 4.3422428 4.5545964 4.5545964 10.9629949 4.3878004 4.7279519 4.7279519 10.5218883 4.0216539 4.0221333 4.0221333 10.343351 3.8286748 3.8540078 3.8286748 10.886229 4.3313369 4.5229863 4.5229863 1

0.8582621 4.3101619 4.4675755 4.4675755 10.4947679 3.9947542 3.9947815 3.9947542 10.9680967 4.3914717 4.7474002 4.7474002 10.8075724 4.2708835 4.3796331 4.3796331 10.8186221 4.2795485 4.3977079 4.3977079 10.4643277 3.9636677 3.9649422 3.9636677 10.9544225 4.3816096 4.6980812 4.6980812 10.7055976 4.1879374 4.2326638 4.2326638 10.5132408 4.0131543 4.0133297 4.0133297 10.3132113 3.7914686 3.8280028 3.7914686 1

0.4700781 3.9696165 3.9705128 3.9696165 10.6561764 4.1455797 4.170755 4.170755 10.1863348 3.6104668 3.7243314 3.6104668 10.7996283 4.2646171 4.366957 4.366957 10.2487753 3.7053727 3.7742556 3.7053727 10.2781391 3.7458405 3.7984502 3.7458405 10.5465339 4.0454989 4.0476702 4.0476702 10.6389955 4.1304826 4.1502888 4.1502888 10.2669247 3.7306499 3.7891529 3.7306499 10.3298431 3.8122107 3.8422808 3.8122107 10.1871826 3.6118538 3.7249961 3.6118538 1

0.41065 3.9062561 3.9143205 3.9062561 10.2068348 3.6431715 3.7405039 3.6431715 10.1975557 3.6285789 3.733158 3.6285789 10.530803 4.0303427 4.0312926 4.0312926 1

0.1730379 3.5882821 3.7139502 3.5882821 10.7049148 4.1873625 4.2317746 4.2317746 10.3809874 3.8729117 3.8873342 3.8729117 10.3357497 3.8194506 3.847394 3.8194506 10.2173919 3.6593813 3.748914 3.6593813 10.0445593 3.2985274 3.6176537 3.2985274 10.4960777 3.99607 3.9960854 3.99607 10.9280185 4.3623645 4.6205755 4.6205755 10.3091056 3.7862641 3.8245049 3.7862641 1

0.85014 4.3039479 4.4525332 4.4525332 10.8274461 4.2864261 4.4125412 4.4125412 10.9522718 4.3800521 4.6910399 4.6910399 10.8101737 4.2729287 4.3838405 4.3838405 10.9869195 4.4049338 4.8382562 4.8382562 10.5384454 4.0377335 4.0392143 4.0392143 10.013488 3.1642437 3.5953563 3.1642437 10.213723 3.6537935 3.7459848 3.6537935 1

0.5125439 4.0124662 4.0126236 4.0126236 10.7035931 4.1862488 4.230056 4.230056 10.3504422 3.8371884 3.8602124 3.8371884 10.5274289 4.0270627 4.0278158 4.0278158 10.0149738 3.1730535 3.5964144 3.1730535 10.7953117 4.2611992 4.3601746 4.3601746 10.1262207 3.5024354 3.6780474 3.5024354 10.4325448 3.9301019 3.9346782 3.9301019 10.5943658 4.0902897 4.0992956 4.0992956 10.7710473 4.241811 4.3233129 4.3233129 10.4680553 3.967528 3.9685498 3.967528 10.8714058 4.3201559 4.4928625 4.4928625 10.615542 4.1095422 4.1231214 4.1231214 1

0.3281749 3.8101542 3.8408408 3.8101542 10.7250135 4.2041707 4.2583983 4.2583983 10.8787266 4.3256897 4.5075097 4.5075097 1

0.2345756 3.6849461 3.7627252 3.6849461 10.2080418 3.6450454 3.7414626 3.6450454 10.4443448 3.9427034 3.9458129 3.9427034 10.741127 4.2174785 4.2804543 4.2804543 1

0.8851168 4.3305013 4.5206605 4.5206605 10.123229 3.4964453 3.6757863 3.4964453 1

0.9323976 4.3655751 4.632298 4.632298 10.6708422 4.158311 4.1886335 4.1886335 10.3029532 3.7783999 3.8192826 3.7783999 10.9255408 4.3605446 4.6141005 4.6141005 10.9801406 4.4001004 4.8007044 4.8007044 10.2682953 3.7325235 3.7902854 3.7325235 10.4305865 3.9279941 3.9328416 3.9279941 10.5643051 4.0623607 4.0665174 4.0665174 10.2641972 3.7269075 3.7869025 3.7269075 10.8137638 4.2757459 4.3896948 4.3896948 10.5616008 4.059812 4.0636248 4.0636248 10.7798151 4.2488516 4.3363964 4.3363964 10.4654406 3.9648219 3.966018 3.9648219 10.9408468 4.3717484 4.6560431 4.6560431 10.4850272 3.9849134 3.9851376 3.9849134 10.2592702 3.7200975 3.7828478 3.7200975 10.2602816 3.7215007 3.783679 3.7215007 10.5766827 4.0739485 4.0798725 4.0798725 10.3132524 3.7915206 3.8280379 3.7915206 10.1751255 3.59182 3.7155744 3.59182 10.8920939 4.3357349 4.5354441 4.5354441 10.3350641 3.8186136 3.8467993 3.8186136 10.7235141 4.2029248 4.2563792 4.2563792 10.9738394 4.3955926 4.7712616 4.7712616 10.8651094 4.3153778 4.4805954 4.4805954 10.2578793 3.7181634 3.7817056 3.7181634 10.0796999 3.3992489 3.6433128 3.3992489 10.6582561 4.1473936 4.1732668 4.1732668 10.5083702 4.0083355 4.0084055 4.0084055 10.8526376 4.3058619 4.4571144 4.4571144 10.4036779 3.8985298 3.9079175 3.8985298 10.5165701 4.016435 4.0167097 4.0167097 10.9026634 4.3436245 4.5587822 4.5587822 10.4866438 3.9865534 3.9867318 3.9865534 10.7164228 4.1970153 4.2469034 4.2469034 10.0390459 3.2794492 3.613671 3.2794492 10.3550691 3.8426969 3.8642791 3.8426969 10.6123255 4.1066395 4.1194609 4.1194609 10.5541282 4.0527376 4.0556783 4.0556783 10.309408 3.7866485 3.8247621 3.7866485 1

0.7203653 4.2003044 4.2521568 4.2521568 10.9708709 4.393464 4.7586327 4.7586327 1

0.6872558 4.1723957 4.2091218 4.2091218 10.8512659 4.304811 4.4545935 4.4545935 10.6683459 4.1561539 4.1855626 4.1855626 10.6389892 4.1304771 4.1502815 4.1502815 10.8369873 4.2938217 4.4290136 4.4290136 10.5811352 4.0780864 4.0847243 4.0847243 10.816235 4.2776815 4.3937575 4.3937575 1

0.1888801 3.6146221 3.7263283 3.6146221 10.3938198 3.8874906 3.8989276 3.8874906 10.3084067 3.7853747 3.8239105 3.7853747 10.8120455 4.2743983 4.3868857 4.3868857 10.1605667 3.5666863 3.7042891 3.5666863 10.9121529 4.3506686 4.580841 4.580841 10.0591182 3.3438552 3.6282261 3.3438552 10.1631541 3.5712339 3.7062876 3.5712339 10.4187043 3.9151004 3.9217647 3.9151004 10.3736059 3.8644141 3.8807197 3.8644141 10.8925026 4.3360409 4.5363248 4.5363248 10.4961311 3.9961235 3.9961385 3.9961235 10.0312845 3.2501381 3.6080837 3.2501381 10.4179177 3.9142404 3.9210354 3.9142404 10.7624572 4.2348743 4.3107355 4.3107355 10.1884127 3.613861 3.7259613 3.613861 10.3820666 3.8741472 3.8883046 3.8741472 10.4175959 3.9138883 3.9207372 3.9138883 10.8400448 4.2961827 4.4343937 4.4343937 10.9566308 4.383207 4.7054861 4.7054861 10.9346614 4.3672318 4.638507 4.638507 10.0151937 3.1743196 3.5965711 3.1743196 10.1466419 3.5415569 3.6935865 3.5415569 10.4730891 3.9727169 3.9734418 3.9727169 10.0609049 3.3490127 3.6295292 3.3490127 10.6416463 4.1328251 4.1534143 4.1534143 10.5384233 4.0377122 4.0391913 4.0391913 10.2220166 3.6663582 3.752616 3.6663582 10.6506587 4.140753 4.1641276 4.1641276 10.5173258 4.0171782 4.0174785 4.0174785 10.4079891 3.9033151 3.9118723 3.9033151 10.3081339 3.7850272 3.8236785 3.7850272 10.9393518 4.3706581 4.6517237 4.6517237 10.9306566 4.3642995 4.6275932 4.6275932 10.4987252 3.9987244 3.998726 3.9987244 10.042536 3.2916709 3.6161907 3.2916709 1

0.7205566 4.2004638 4.2524127 4.2524127 10.2542155 3.7130435 3.7787019 3.7130435 10.0854673 3.4134423 3.6475705 3.4134423 10.7181578 4.1984639 4.2492108 4.2492108 10.8725374 4.3210128 4.4950989 4.4950989 1

0.8939834 4.3371487 4.5395293 4.5395293 10.93784 4.3695547 4.6474097 4.6474097 1

0.8258336 4.2851721 4.4098028 4.4098028 10.9093839 4.348617 4.5742862 4.5742862 10.3742062 3.8651083 3.8812563 3.8651083 10.4047168 3.8996853 3.9088692 3.8996853 10.215796 3.6569566 3.747639 3.6569566 1

0.2592339 3.7200471 3.782818 3.7200471 10.2995506 3.7740162 3.8164043 3.7740162 10.8036104 4.2677621 4.373279 4.373279 10.1946145 3.6238823 3.7308385 3.6238823 10.1411864 3.5313877 3.6894172 3.5313877 10.3225906 3.8032317 3.8360332 3.8032317 10.4624741 3.9617423 3.963153 3.9617423 10.435588 3.9333681 3.9375387 3.9333681 1

0.3595828 3.8480364 3.8682605 3.8480364 10.7594713 4.2324539 4.306417 4.306417 10.8166826 4.2780317 4.3944962 4.3944962 1

0.01756 3.1874031 3.5982582 3.1874031 10.2249615 3.670763 3.7549791 3.670763 10.6864033 4.1716683 4.2080445 4.2080445 10.1099821 3.4690034 3.6658202 3.4690034 10.7597101 4.2326477 4.3067614 4.3067614 10.8916745 4.3354209 4.5345421 4.5345421 10.8310883 4.2892543 4.4187743 4.4187743 10.2473599 3.7033633 3.7731014 3.7033633 10.4663868 3.9658021 3.9669335 3.9658021 10.0421597 3.2903779 3.6159188 3.2903779 10.8046978 4.2686196 4.3750165 4.3750165 10.5403199 4.0395382 4.0411672 4.0411672 10.8698425 4.3189712 4.4897893 4.4897893 10.0580204 3.3406476 3.6274261 3.3406476 10.4625647 3.9618365 3.9632404 3.9618365 10.6972583 4.1808966 4.2218719 4.2218719 10.1098297 3.4686783 3.6657059 3.4686783 10.352899 3.8401178 3.86237 3.8401178 1

0.0612002 3.3498576 3.6297447 3.3498576 10.1110325 3.4712378 3.6666077 3.4712378 10.7692578 4.2403691 4.3206735 4.3206735 10.7030227 4.1857678 4.2293155 4.2293155 10.1548434 3.556495 3.6998795 3.556495 10.0775492 3.3938253 3.6417284 3.3938253 10.5696756 4.067404 4.0722884 4.0722884 10.7225106 4.2020904 4.255031 4.255031 10.4174718 3.9137525 3.9206222 3.9137525 10.2712172 3.7365015 3.7927032 3.7365015 10.2892572 3.7606013 3.8077393 3.7606013 10.886703 4.3316929 4.523981 4.523981 1

0.1148702 3.4793123 3.6694889 3.4793123 10.6987845 4.1821882 4.2238357 4.2238357 10.9120716 4.3506084 4.5806471 4.5806471 10.0969911 3.440434 3.6561184 3.440434 10.2184425 3.6609728 3.749754 3.6609728 10.2527342 3.710963 3.7774896 3.710963 10.7610942 4.23377 4.3087609 4.3087609 10.6088349 4.1034808 4.1155057 4.1155057 10.6508229 4.1408969 4.1643241 4.1643241 10.3617949 3.8506408 3.8702167 3.8506408 10.8169134 4.2782123 4.3948775 4.3948775 10.7386729 4.2154611 4.2770517 4.2770517 10.3837311 3.8760492 3.8898028 3.8760492 10.1122527 3.4738201 3.6675232 3.4738201 10.7548319 4.2286838 4.2997599 4.2997599 10.5276854 4.0273124 4.0280796 4.0280796 10.7635272 4.2357405 4.3122897 4.3122897 10.9416164 4.3723093 4.658288 4.658288 10.375404 3.8664918 3.8823274 3.8664918 1

0.9081356 4.347691 4.5713639 4.5713639 10.4588799 3.9579978 3.9596922 3.9579978 10.8759835 4.3236189 4.501971 4.501971 10.9187945 4.355577 4.5969975 4.5969975 10.3063678 3.7827743 3.8221781 3.7827743 10.4439134 3.9422457 3.9454038 3.9422457 10.3849803 3.877474 3.8909286 3.877474 10.1187779 3.4873969 3.6724292 3.4873969 10.8997915 4.3414854 4.5523205 4.5523205 10.1070476 3.4627042 3.6636225 3.4627042 10.0555934 3.3334469 3.625659 3.3334469 10.8385655 4.2950409 4.4317844 4.4317844 10.2759671 3.7429227 3.7966439 3.7429227 10.0646922 3.3597005 3.6322955 3.3597005 10.5508176 4.0495881 4.0521789 4.0521789 10.6352816 4.1271926 4.1459293 4.1459293 10.9577997 4.3840518 4.7094822 4.7094822 10.8206631 4.2811425 4.4011062 4.4011062 10.4903363 3.9902892 3.9903826 3.9902892 10.5011812 4.0011805 4.0011819 4.0011819 10.9196513 4.3562089 4.5991292 4.5991292 10.0080612 3.1269741 3.5914981 3.1269741 10.0669269 3.3658604 3.6339304 3.3658604 10.4030813 3.8978655 3.9073713 3.8978655 10.258484 3.7190049 3.782202 3.7190049 1

0.8633508 4.3140402 4.4772205 4.4772205 10.9482921 4.3771653 4.6784167 4.6784167 10.3835181 3.8758061 3.889611 3.8758061 10.4939481 3.9939297 3.9939663 3.9939297 1

0.0240185 3.2191736 3.6028733 3.2191736 10.6541578 4.1438162 4.1683243 4.1683243 10.2395626 3.6921888 3.7667625 3.6921888 10.2922764 3.7645606 3.8102744 3.7645606 10.9610957 4.3864312 4.721058 4.721058 10.3627721 3.8517888 3.871082 3.8517888 10.6948667 4.1788695 4.2188044 4.2188044 10.7866343 4.2543 4.3467532 4.3467532 10.8335153 4.2911354 4.422965 4.422965 1

0.57767 4.0748675 4.0809462 4.0809462 10.7262231 4.2051748 4.2600313 4.2600313 10.6804965 4.166616 4.2006208 4.2006208 10.8841503 4.3297747 4.5186484 4.5186484 10.8475558 4.3019645 4.4478329 4.4478329 10.1651194 3.5746641 3.7078076 3.5746641 10.380278 3.8720986 3.8866968 3.8720986 1

0.5070751 4.0070503 4.0071003 4.0071003 10.5617065 4.0599118 4.0637378 4.0637378 10.3730566 3.8637784 3.8802291 3.8637784 10.3390577 3.8234776 3.8502676 3.8234776 10.920046 4.3564999 4.600115 4.600115 1

0.7747452 4.2447853 4.3287998 4.3287998 10.798797 4.2639596 4.3656452 4.3656452 1

0.3755452 3.8666547 3.8824537 3.8666547 10.6021709 4.0974251 4.1080033 4.1080033 10.8466748 4.3012877 4.4462398 4.4462398 10.5597336 4.0580488 4.0616329 4.0616329 10.8280498 4.2868953 4.4135697 4.4135697 10.2463739 3.70196 3.772298 3.70196 10.505753 4.0057365 4.0057696 4.0057696 1

0.2570775 3.717046 3.7810475 3.717046 10.2687743 3.733177 3.7906814 3.733177 10.0252296 3.2246313 3.6037404 3.2246313 10.2573698 3.7174536 3.7812874 3.7174536 10.8204001 4.2809373 4.4006673 4.4006673 10.1757003 3.5927905 3.716022 3.5927905 10.0251671 3.2243526 3.6036956 3.2243526 10.149951 3.5476331 3.6961219 3.5476331 1

0.0098424 3.1403023 3.5927633 3.1403023 10.2691474 3.7336858 3.79099 3.7336858 10.9082955 4.3478097 4.5717373 4.5717373 10.4079597 3.9032826 3.9118453 3.9032826 10.9609012 4.3862909 4.7203616 4.7203616 10.0606685 3.3483345 3.6293567 3.3483345 10.0810402 3.4025921 3.6443011 3.4025921 10.0758672 3.389531 3.6404907 3.389531 10.9977798 4.4126428 4.9333636 4.9333636 10.6114709 4.105867 4.118491 4.118491 1

0.2467329 3.7024712 3.7725905 3.7024712 10.2241223 3.6695108 3.7543053 3.6695108 10.380085 3.8718773 3.8865235 3.8718773 1

0.0817906 3.4044518 3.6448547 3.4044518 10.4067612 3.9019548 3.9107445 3.9019548 10.0577068 3.3397259 3.6271976 3.3397259 10.169111 3.5815686 3.7109003 3.5815686 1

0.6533258 4.1430886 4.1673245 4.1673245 10.6759437 4.1627069 4.1949455 4.1949455 10.6446273 4.1354535 4.1569428 4.1569428 10.8475482 4.3019587 4.4478192 4.4478192 10.8011295 4.2658037 4.369333 4.369333 10.039074 3.2795495 3.6136912 3.2795495 1

0.2034889 3.6379481 3.7378502 3.6379481 10.8531257 4.3062356 4.4580142 4.4580142 10.9888235 4.4062883 4.8504905 4.8504905 10.0928551 3.430941 3.6530442 3.430941 10.8045787 4.2685257 4.3748259 4.3748259 10.4268149 3.9239209 3.9293132 3.9239209 10.6244846 4.1175729 4.1333796 4.1333796 10.0212678 3.2062415 3.6009058 3.2062415 10.0501751 3.316781 3.6217222 3.316781 10.0629354 3.3547826 3.6310116 3.3547826 10.3450478 3.83072 3.8554895 3.83072 10.5019934 4.0019914 4.0019954 4.0019954 10.0652091 3.3611346 3.6326735 3.3611346 10.1390958 3.5274387 3.687823 3.5274387 10.493153 3.9931294 3.9931763 3.9931294 1

0.0642717 3.3585294 3.6319881 3.3585294 10.486148 3.9860507 3.9862426 3.9860507 1

0.8464893 4.3011451 4.4459048 4.4459048 10.9540787 4.3813607 4.6969447 4.6969447 10.4698143 3.9693444 3.9702566 3.9693444 10.3898275 3.8829807 3.8953077 3.8829807 10.3826481 3.8748121 3.8888278 3.8748121 10.4773495 3.977087 3.9776004 3.977087 10.4220409 3.9187392 3.9248636 3.9187392 10.5910556 4.0872494 4.095628 4.095628 10.3687121 3.8587341 3.876356 3.8587341 10.4658069 3.9652014 3.9663723 3.9652014 10.2659547 3.7293212 3.7883521 3.7293212 10.3969574 3.891019 3.9017809 3.891019 10.6364155 4.1281981 4.147258 4.147258 10.0007864 3.0396594 3.5863426 3.0396594 10.1783834 3.5972995 3.7181134 3.5972995 10.8233285 4.2832213 4.4055733 4.4055733 10.0116507 3.1526477 3.5940488 3.1526477 10.5295566 4.0291323 4.0300068 4.0300068 1

0.9920079 4.408551 4.8735715 4.8735715 10.0888015 3.4214297 3.6500382 3.4214297 10.8423902 4.2979909 4.4385558 4.4385558 10.2408642 3.6940665 3.7678183 3.6940665 10.5491642 4.0480116 4.0504361 4.0504361 10.0908058 3.4261592 3.6515237 3.4261592 10.2876485 3.7584834 3.8063908 3.7584834 10.1177797 3.4853446 3.6716775 3.4853446 10.2016722 3.6350941 3.7364116 3.6350941 10.7702914 4.2412021 4.3221967 4.3221967 10.7338144 4.2114573 4.2703623 4.2703623 10.3265796 3.8081827 3.8394653 3.8081827 10.6185666 4.1122649 4.1265775 4.1265775 10.3756466 3.8667717 3.8825445 3.8667717 10.6217322 4.1151074 4.1302095 4.1302095 10.4169628 3.9131952 3.9201507 3.9131952 10.5263761 4.0260372 4.0267335 4.0267335 10.7607248 4.2334706 4.3082267 4.3082267 10.4429648 3.9412384 3.9445047 3.9412384 10.8417704 4.2975133 4.437453 4.437453 10.7343187 4.2118735 4.2710537 4.2710537 10.4852156 3.9851046 3.9853233 3.9851046 10.3704819 3.8607926 3.8779322 3.8607926 10.0250833 3.223979 3.6036356 3.223979 10.6547317 4.1443179 4.1690147 4.1690147 10.6733226 4.1604504 4.1916963 4.1916963 10.3617967 3.850643 3.8702184 3.850643 10.4477901 3.946351 3.9490862 3.946351 10.4269349 3.9240508 3.9294253 3.9240508 10.2596467 3.7206201 3.7831571 3.7206201 10.2429084 3.6970056 3.7694785 3.6970056 10.771899 4.2424967 4.3245728 4.3245728 1

0.2342047 3.6844045 3.7624255 3.6844045 10.55369 4.0523212 4.0552143 4.0552143 10.66518 4.1534123 4.1816846 4.1816846 1

0.398339 3.8925682 3.9030396 3.8925682 10.9989634 4.4134804 4.9544676 4.9544676 10.7514008 4.2258881 4.2948771 4.2948771 10.7340111 4.2116197 4.270632 4.270632 10.3359685 3.8197176 3.8475838 3.8197176 10.7873186 4.2548455 4.3478016 4.3478016 10.6832402 4.1689655 4.2040605 4.2040605 10.2971049 3.77085 3.8143398 3.77085 10.2391537 3.6915977 3.766431 3.6915977 10.1868183 3.6112582 3.7247105 3.6112582 10.9939293 4.4099144 4.889812 4.889812 10.5619468 4.0601384 4.0639944 4.0639944 10.6890518 4.1739266 4.2113959 4.2113959 1

0.923962 4.3593837 4.6100309 4.6100309 10.3469152 3.8329649 3.8571222 3.8329649 10.7454301 4.2210079 4.2864597 4.2864597 10.7253899 4.2044832 4.2589061 4.2589061 10.8932372 4.3365906 4.5379116 4.5379116 10.8844626 4.3300095 4.5192976 4.5192976 10.773616 4.2438778 4.3271196 4.3271196 1

0.9726293 4.3947253 4.7660311 4.7660311 10.5036985 4.0036917 4.0037054 4.0037054 10.8547953 4.3075131 4.4611036 4.4611036 10.764712 4.2366988 4.3140145 4.3140145 1

0.1242197 3.4984369 3.6765346 3.4984369 10.2472405 3.7031935 3.7730041 3.7031935 10.3541645 3.8416228 3.8634829 3.8416228 10.7327561 4.2105834 4.2689132 4.2689132 10.8195405 4.280266 4.3992347 4.3992347 10.4194999 3.9159693 3.9225028 3.9159693 10.7701036 4.2410509 4.3219198 4.3219198 10.5494029 4.0482394 4.0506875 4.0506875 10.7791773 4.2483407 4.3354359 4.3354359 10.7421045 4.2182812 4.2818141 4.2818141 10.1273017 3.5045824 3.6788654 3.5045824 10.2982669 3.7723559 3.8153202 3.7723559 10.2492665 3.7060687 3.7746564 3.7060687 10.2979581 3.7719561 3.8150596 3.7719561 10.6306605 4.1230854 4.1405356 4.1405356 10.793451 4.259723 4.357273 4.357273 1

0.9229752 4.3586575 4.6075084 4.6075084 10.7359425 4.2132127 4.2732848 4.2732848 10.6648729 4.153146 4.1813094 4.1813094 10.5980851 4.0936956 4.1034344 4.1034344 10.7247515 4.2039531 4.2580452 4.2580452 10.6663016 4.1543844 4.1830565 4.1830565 10.4520392 3.9508304 3.9531373 3.9508304 10.7946422 4.2606683 4.3591291 4.3591291 10.8885183 4.3330554 4.52781 4.52781 10.9947916 4.4105259 4.8979373 4.8979373 10.3022365 3.7774786 3.8186757 3.7774786 10.1989601 3.6308091 3.7342671 3.6308091 10.3480953 3.8343803 3.8581552 3.8343803 10.8960161 4.3386681 4.5439652 4.5439652 10.5348973 4.0343087 4.0355284 4.0355284 10.1428062 3.5344272 3.6906538 3.5344272 10.1632369 3.5713788 3.7063516 3.5713788 10.6723189 4.1595852 4.1904555 4.1904555 10.9865309 4.4046571 4.8358711 4.8358711 10.0006976 3.0373537 3.5862798 3.0373537 10.1836386 3.606034 3.7222196 3.606034 1

0.3103248 3.7878131 3.8255425 3.7878131 10.2438769 3.6983937 3.7702658 3.6983937 10.787691 4.2551422 4.3483728 4.3483728 1

0.4532841 3.9521388 3.9543272 3.9521388 10.454393 3.9533027 3.9553881 3.9533027 1

0.8266027 4.2857703 4.4111073 4.4111073 10.3256717 3.8070584 3.8386832 3.8070584 10.1009143 3.4492534 3.6590409 3.4492534 10.7090119 4.1908081 4.2371264 4.2371264 10.9445571 4.3744505 4.6670049 4.6670049 10.0231829 3.2153272 3.6022754 3.2153272 10.0973336 3.441211 3.6563732 3.441211 10.9314985 4.3649164 4.6298607 4.6298607 10.1596034 3.564984 3.7035459 3.564984 10.4231165 3.9199093 3.9258646 3.9199093 10.3333587 3.8165277 3.8453215 3.8165277 10.6509097 4.140973 4.1644279 4.1644279 10.8619866 4.3130016 4.4746174 4.4746174 10.118277 3.4863681 3.6720519 3.4863681 1

0.8247982 4.2843661 4.408051 4.408051 10.6748637 4.1617777 4.1936052 4.1936052 10.5559247 4.0544427 4.0575826 4.0575826 10.7349542 4.2123978 4.2719261 4.2719261 10.9853414 4.4038101 4.8287775 4.8287775 10.6959827 4.1798159 4.2202343 4.2202343 10.2316451 3.6806542 3.760359 3.6806542 10.8973869 4.3396917 4.546981 4.546981 10.6922893 4.1766812 4.215512 4.215512 10.2183839 3.6608841 3.7497072 3.6608841 10.2325848 3.6820335 3.7611173 3.6820335 10.019959 3.1997949 3.5999707 3.1997949 1

0.5193506 4.0191669 4.0195415 4.0195415 10.2237214 3.6689117 3.7539835 3.6689117 10.1099151 3.4688605 3.6657699 3.4688605 10.2032417 3.6375606 3.7376544 3.6375606 10.3579074 3.8460584 3.866781 3.8460584 10.5357476 4.0351305 4.0364104 4.0364104 10.6851413 4.1705907 4.2064527 4.2064527 10.3520821 3.8391449 3.8616522 3.8391449 10.2092852 3.6469702 3.742451 3.6469702 10.6279204 4.120643 4.1373534 4.1373534 1

Costuri testare Triunghiulara=a 4.0000=m 0.408=b

Histograma frecventei relative/ Ogiva:xbar= 4.033

s= 0.411

fabs frel frelcum mj1 0.001 0

19 0.02 0.02 3.125313546 0.046 0.066 3.301233269 0.069 0.135 3.4771529

112 0.112 0.247 3.6530726163 0.163 0.41 3.8289923161 0.161 0.571 4.004912118 0.118 0.689 4.1808317133 0.133 0.822 4.356751398 0.098 0.92 4.53267156 0.056 0.976 4.708590724 0.024 1 4.88451040 0

1000 1

Statisticele esantionuluimedia aritmeticamedianamodaminimmaximamplitudineaabaterea standarddispersia

limita intercuatilica inferioara 1prima cuartila 1a doua cuartila 1a treia cuartile 1limita intercuatilica superioara 1

#VALUE!

#VALUE!#VALUE!#VALUE!

0.04294428560.04800083960.05305739360.05811394770.06317050170.06822705570.07328360980.07834016380.08339671780.08845327190.09350982590

0.02

0.04

0.06

0.08

0.1

0.12

0.14

0.16

0.18

Histograma frecventei relative - Distributia Triunghiulara - V2

Clase

Frecventa relativa

0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10 0.110.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

Distributia frecventei relative cumulate (Ogiva) - Distributia Triunghiulara - V2

Clase

Probabilitatea

0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10 0.11

Diagrama Box Plot - Distributia Triunghiulara - V2

Linia x y Linia x yLQ1-Q1 2.839 1 Q3-LQS 4.348 1

3.744 1 5.253 1Q1Q3L 3.744 0.9 Q1Q3H 3.744 1.1

4.348 0.9 4.348 1.1Linia x y Linia x yX0V 0.06 0 X0O 0 #VALUE!

0.06 #VALUE! 0.06 #VALUE!Linia x y Linia x yX1V 0.08 0 X1O 0 #VALUE!

0.08 #VALUE! 0.08 #VALUE!

nj 1fabs faj 2020 fej 9146 faj-fej -7169 (faj-fej)^2 5041112 (faj-fej)^2/f55.395604163161 288.422118 grade libertate 10133 18.3070498 0.0556 Decizie: Respingere uniformitate24

1000

Testul2

2calculat=

2critic==

0.04294428560.04800083960.05305739360.05811394770.06317050170.06822705570.07328360980.07834016380.08339671780.08845327190.09350982590

0.02

0.04

0.06

0.08

0.1

0.12

0.14

0.16

0.18


Clase

Frecventa relativa

0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10 0.110.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00


Clase

Probabilitatea

0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10 0.11


2 3 4 5 6 7 846 69 112 163 161 118 13391 91 91 91 91 91 91

-45 -22 21 72 70 27 422025 484 441 5184 4900 729 1764

22.252747 5.3186813 4.8461538 56.967033 53.846154 8.010989 19.384615

Respingere uniformitate

9 10 11 TOTAL98 56 24 100091 91 90 1000

7 -35 -66 -49 1225 4356 -

0.5384615 13.461538 48.4 288.42198

ui xi1 xi2 xi Variabila: V30.1618918 15.13804 15.410624 15.13804 1 Min= 140.9908917 16.815517 17.730062 17.730062 1 Prob 160.6771977 16.32757 16.39301 16.39301 1 Max= 180.1806213 15.202069 15.439721 15.202069 10.3523284 15.678877 15.723737 15.678877 1 Histograma frecventei relative/ Ogiva:0.4490494 15.895361 15.90057 15.895361 1 n= 10000.0074789 14.244604 15.182169 14.244604 1 xmin= 14.10420.2883119 15.518715 15.613893 15.518715 1 xmax= 17.87880.4482466 15.893667 15.899041 15.893667 1 r= 3.7750.8734992 16.643481 16.994015 16.994015 1 nc= 110.0170741 14.369585 15.195823 14.369585 1 lc= 0.3430.750139 16.449717 16.58618 16.58618 1

0.1339555 15.035202 15.367823 15.035202 1 lc1 14.10420.2376196 15.378752 15.530376 15.378752 1 lc2 14.44740.3992263 15.787123 15.807698 15.787123 1 lc3 14.79050.8710246 16.639734 16.984223 16.984223 1 lc4 15.13370.1533815 15.107724 15.397511 15.107724 1 lc5 15.47680.7650258 16.473905 16.628944 16.628944 1 lc6 15.82000.9820655 16.802949 17.621218 17.621218 1 lc7 16.16310.6997202 16.365959 16.450084 16.450084 1 lc8 16.50630.0800946 14.800473 15.287208 14.800473 1 lc9 16.84940.8940369 16.674378 17.079291 17.079291 1 lc10 17.19260.7442431 16.440071 16.569596 16.569596 1 lc11 17.53570.262066 15.447939 15.570294 15.447939 1 lc12 17.8788

0.7049583 16.374798 16.463662 16.463662 10.6504214 16.28109 16.327687 16.327687 10.2509801 15.416983 15.552111 15.416983 1 Statisticele esantionului0.708591 16.380909 16.47315 16.47315 1 xbar= 15.984

0.7475439 16.445476 16.578856 16.578856 1 xmed= 15.9980.8227234 16.565499 16.809113 16.809113 1 xmod= #VALUE!0.5636168 16.123425 16.131561 16.131561 1 xmin= 14.1040.6102781 16.209576 16.234278 16.234278 1 xmax= 17.8790.2718283 15.474662 15.586419 15.474662 1 r= 3.7750.7801672 16.498267 16.673854 16.673854 1 s= 0.8090.3548824 15.684951 15.72823 15.684951 1 s^2= 0.6540.9599072 16.771147 17.433659 17.433659 10.0432159 14.587986 15.233364 14.587986 1 Cuartile0.1417725 15.064979 15.379729 15.064979 1 LQI= 13.7060.9864865 16.809251 17.671203 17.671203 1 Q1= 15.4110.5971056 16.185599 16.204685 16.204685 1 Q2= 15.9980.4719702 15.943132 15.944705 15.943132 1 Q3= 16.5480.2481753 15.409043 15.547532 15.409043 1 LQS= 18.2530.4533603 15.904438 15.9088 15.904438 10.0984076 14.887277 15.314346 14.887277 1 Probabilitati

=

0.0063502 14.225392 15.180568 14.225392 1 x0= 4500.8903918 16.66892 17.063589 17.063589 1 x1= 5500.2261793 15.345152 15.511915 15.345152 1 #VALUE!0.7724095 16.485815 16.650658 16.650658 1 #VALUE!0.2330855 15.365534 15.523043 15.365534 1 #VALUE!0.0736802 14.767751 15.277766 14.767751 1 #VALUE!0.1350706 15.039502 15.369518 15.039502 10.864959 16.630527 16.960612 16.960612 1 Distributia Uniforma

0.4843143 15.968379 15.968871 15.968379 10.3081888 15.570194 15.64745 15.570194 10.1183921 14.973209 15.344277 14.973209 10.325405 15.613456 15.676907 15.613456 1

0.4023262 15.794048 15.813361 15.794048 10.5263049 16.051936 16.053321 16.053321 10.8965669 16.678159 17.090349 17.090349 10.694144 16.356513 16.435759 16.435759 1

0.9160694 16.70713 17.180583 17.180583 10.4454115 15.887668 15.893651 15.887668 10.5838242 16.161156 16.175334 16.175334 10.9981652 16.825831 17.878845 17.878845 10.8440258 16.598501 16.882953 16.882953 10.6822861 16.336298 16.405725 16.405725 10.0600314 14.693002 15.257784 14.693002 10.3239525 15.609851 15.674408 15.609851 10.504124 16.008231 16.008265 16.008265 1

0.6997238 16.365965 16.450094 16.450094 10.6154569 16.218931 16.246049 16.246049 10.5916224 16.175541 16.19251 16.19251 10.8268473 16.571921 16.823046 16.823046 10.412262 15.816066 15.831613 15.816066 1

0.6086669 16.206657 16.230632 16.230632 10.9042372 16.689591 17.124727 17.124727 10.0252092 14.449081 15.207452 14.449081 10.2935572 15.532468 15.622703 15.532468 10.9488184 16.755095 17.360115 17.360115 10.4606788 15.919747 15.922846 15.919747 10.0844833 14.822111 15.293686 14.822111 10.3852253 15.755506 15.782299 15.755506 10.9149244 16.705438 17.175012 17.175012 10.3489959 15.670918 15.717889 15.670918 10.514978 16.029735 16.030184 16.030184 1

0.5581607 16.113122 16.119916 16.119916 10.3559475 15.687477 15.730106 15.687477 10.4028818 15.795287 15.814378 15.795287 1

0.45134 15.90019 15.904939 15.90019 1

Prob(x ≤ x0)=Prob(x ≤ x1)=Prob(x > x1)=

Prob(x0 ≤ x ≤ x1)=

0.0169764 14.368526 15.195684 14.368526 10.1514358 15.100676 15.394522 15.100676 10.216892 15.317246 15.497029 15.317246 1

0.2494619 15.412691 15.549632 15.412691 10.8392049 16.591069 16.865822 16.865822 10.3902511 15.766921 15.791382 15.766921 10.2465317 15.404369 15.544853 15.404369 10.4782517 15.95602 15.956966 15.95602 10.4643551 15.927392 15.929937 15.927392 10.672319 16.319171 16.380911 16.380911 1

0.0611097 14.699198 15.259357 14.699198 10.5140692 16.027943 16.028339 16.028339 10.731491 16.419076 16.53437 16.53437 1

0.7756698 16.491056 16.660358 16.660358 10.1663119 15.153471 15.417462 15.153471 10.6464002 16.274028 16.318097 16.318097 10.8829639 16.657764 17.03238 17.03238 10.2162879 15.31541 15.496064 15.31541 10.6225939 16.23176 16.262401 16.262401 10.2639832 15.453226 15.573452 15.453226 10.4793786 15.958323 15.959174 15.958323 10.1952078 15.249665 15.462612 15.249665 10.0841084 14.820285 15.293132 14.820285 10.5058505 16.011667 16.011735 16.011735 10.2961053 15.539105 15.626994 15.539105 10.3972819 15.782766 15.804153 15.782766 10.2918315 15.527957 15.619801 15.527957 10.8921212 16.671511 17.071006 17.071006 10.9551305 16.764244 17.40087 17.40087 10.6816469 16.335203 16.404122 16.404122 10.3700468 15.720574 15.755089 15.720574 10.6096872 16.208506 16.23294 16.23294 10.4444334 15.885595 15.891794 15.885595 10.529733 16.058607 16.060377 16.060377 1

0.0597213 14.691209 15.257332 14.691209 10.6951969 16.358299 16.438454 16.438454 10.6529293 16.285483 16.333697 16.333697 10.9399755 16.742226 17.307038 17.307038 10.824748 16.568654 16.815933 16.815933 1

0.4115775 15.814558 15.83035 15.814558 10.2090022 15.293065 15.484452 15.293065 10.5231394 16.045755 16.046827 16.046827 10.7156695 16.392772 16.491808 16.491808 10.9368801 16.737707 17.289395 17.289395 10.6319165 16.248407 16.283997 16.283997 1

0.1240594 14.996231 15.352827 14.996231 10.6754198 16.324513 16.38859 16.38859 10.9577184 16.767986 17.418405 17.418405 10.7577307 16.462082 16.607824 16.607824 10.0349951 14.529113 15.221504 14.529113 10.1266673 15.006647 15.356771 15.006647 10.9167883 16.708192 17.1841 17.1841 10.0314685 14.501745 15.216432 14.501745 10.9629893 16.775593 17.455863 17.455863 10.2320171 15.362401 15.521318 15.362401 10.5044319 16.008844 16.008884 16.008884 10.2366888 15.376049 15.528869 15.376049 10.9912355 16.816005 17.735206 17.735206 10.6531839 16.285929 16.334308 16.334308 10.8586833 16.620967 16.936734 16.936734 10.1079367 14.929244 15.328576 14.929244 10.5793148 16.152793 16.165475 16.165475 10.6965399 16.360576 16.441898 16.441898 10.004159 14.182406 15.177461 14.182406 1

0.0503046 14.634379 15.243632 14.634379 10.1691285 15.163197 15.421828 15.163197 10.9450974 16.749687 17.337263 17.337263 10.3679804 15.715763 15.75141 15.715763 10.9863895 16.809113 17.670024 17.670024 10.7977269 16.526226 16.727921 16.727921 10.5090726 16.018064 16.018228 16.018228 10.602388 16.195246 16.216493 16.216493 1

0.4996456 15.999291 15.999291 15.999291 10.656227 16.291248 16.341632 16.341632 1

0.6150872 16.218265 16.245206 16.245206 10.0390719 14.559084 15.227379 14.559084 10.4760741 15.951562 15.952707 15.951562 10.2479916 15.408521 15.547233 15.408521 10.7458993 16.442784 16.574235 16.574235 10.0997589 14.893348 15.316359 14.893348 1

0.56282 16.121924 16.129856 16.129856 10.7093583 16.382198 16.475161 16.475161 10.673229 16.32074 16.383161 16.383161 1

0.5621407 16.120643 16.128403 16.128403 10.561737 16.119881 16.127541 16.127541 1

0.0894204 14.845791 15.300993 14.845791 10.4726186 15.944466 15.945967 15.944466 10.7451719 16.441593 16.572196 16.572196 10.2976936 15.543227 15.629673 15.543227 10.6081876 16.205788 16.229548 16.229548 1

0.8002662 16.530243 16.735931 16.735931 10.9311558 16.729331 17.257872 17.257872 10.0992644 14.891131 15.315622 14.891131 10.5225776 16.044657 16.045677 16.045677 10.2643978 15.454367 15.574136 15.454367 10.5078346 16.015608 16.015731 16.015731 10.2644246 15.45444 15.57418 15.45444 10.1189986 14.975699 15.345191 14.975699 10.6706957 16.316369 16.376906 16.376906 10.662794 16.302684 16.357548 16.357548 1

0.9268668 16.723038 17.235104 17.235104 10.7696549 16.481378 16.642517 16.642517 10.6560085 16.290866 16.341105 16.341105 10.685004 16.340947 16.412559 16.412559 1

0.3471641 15.666527 15.71468 15.666527 10.4421929 15.880836 15.887547 15.880836 10.9486458 16.754844 17.359037 17.359037 10.6018594 16.194282 16.215308 16.215308 10.9659342 16.779833 17.477959 17.477959 10.014177 14.336772 15.191694 14.336772 1

0.0114565 14.30274 15.187821 14.30274 10.8824059 16.656924 17.030076 17.030076 10.7838729 16.504193 16.685079 16.685079 10.9915761 16.816489 17.740402 17.740402 10.9240804 16.718942 17.220669 17.220669 10.5466939 16.091304 16.095676 16.095676 10.7431194 16.438228 16.566457 16.566457 10.581683 16.157189 16.170646 16.170646 1

0.0828108 14.813933 15.291215 14.813933 10.1187726 14.974772 15.34485 14.974772 10.4485426 15.894292 15.899605 15.894292 10.2261024 15.344923 15.511792 15.344923 10.3915998 15.769971 15.793826 15.769971 10.773759 16.487986 16.654665 16.654665 1

0.5855389 16.164327 16.179097 16.179097 10.063618 14.713403 15.263021 14.713403 1

0.8944466 16.67499 17.081073 17.081073 10.2346921 15.370232 15.525639 15.370232 10.5579385 16.112702 16.119444 16.119444 10.2240357 15.338763 15.508471 15.338763 10.6236456 16.233644 16.264824 16.264824 10.966278 16.780328 17.480601 17.480601 1

0.2856852 15.511781 15.609494 15.511781 10.5835468 16.160642 16.174726 16.174726 10.5506956 16.098944 16.1041 16.1041 1

0.2874439 15.516427 15.612439 15.516427 10.1942377 15.246556 15.461083 15.246556 10.5651855 16.126378 16.134922 16.134922 10.9467694 16.752118 17.347432 17.347432 10.8982221 16.68063 17.097657 17.097657 10.3825257 15.749344 15.777435 15.749344 10.249681 15.413311 15.549989 15.413311 10.068254 14.73894 15.269804 14.73894 1

0.0518697 14.644172 15.245904 14.644172 10.857918 16.619799 16.933859 16.933859 1

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0.7465939 16.443921 16.576185 16.576185 10.8423589 16.595934 16.877 16.877 10.6773437 16.327821 16.393373 16.393373 10.932298 16.731004 17.264054 17.264054 1

0.6185797 16.224553 16.253185 16.253185 10.8648259 16.630324 16.960099 16.960099 10.9545661 16.763427 17.397115 17.397115 10.0626693 14.708064 15.261635 14.708064 10.1617703 15.137613 15.410437 15.137613 10.3960633 15.78003 15.801934 15.78003 10.7007983 16.367781 16.452869 16.452869 10.1536114 15.108554 15.397865 15.108554 10.7518582 16.452522 16.591052 16.591052 10.5867296 16.166526 16.181714 16.181714 10.4856354 15.971062 15.971474 15.971062 10.5931427 16.178335 16.195877 16.195877 10.978226 16.797465 17.582637 17.582637 1

0.1268725 15.007462 15.357081 15.007462 10.7422304 16.436769 16.563979 16.563979 10.9658347 16.77969 17.477198 17.477198 10.3649756 15.708744 15.746071 15.708744 10.2079377 15.289768 15.48276 15.289768 10.7282124 16.413649 16.525449 16.525449 10.5825418 16.158781 16.172525 16.172525 10.2918983 15.528132 15.619913 15.528132 10.6378239 16.258892 16.297822 16.297822 10.2933919 15.532036 15.622425 15.532036 10.5787288 16.151704 16.164198 16.164198 10.4892403 15.978364 15.978595 15.978364 10.7473921 16.445227 16.578429 16.578429 10.3087366 15.571589 15.648382 15.571589 10.7098569 16.383035 16.47647 16.47647 10.6951101 16.358152 16.438232 16.438232 10.1572946 15.121765 15.403532 15.121765 10.8131064 16.550461 16.777237 16.777237 10.9879431 16.811324 17.689428 17.689428 10.8550652 16.615439 16.923209 16.923209 10.4722511 15.94371 15.945252 15.94371 10.7517183 16.452294 16.590655 16.590655 10.2393235 15.383686 15.533137 15.383686 10.5186568 16.036972 16.037668 16.037668 10.1861344 15.220277 15.448349 15.220277 10.8214942 16.563582 16.804991 16.804991 10.5328268 16.06461 16.066768 16.066768 10.1880124 15.226417 15.451294 15.226417 1

0.7941902 16.520619 16.716848 16.716848 10.1876204 15.225138 15.450679 15.225138 10.660949 16.299477 16.353061 16.353061 1

0.6946658 16.357398 16.437095 16.437095 10.914029 16.704114 17.170682 17.170682 1

0.0482103 14.621033 15.240595 14.621033 10.2959951 15.538818 15.626808 15.538818 10.5319538 16.062918 16.064963 16.064963 10.9060736 16.69232 17.13316 17.13316 10.6069103 16.203471 16.226665 16.226665 10.6723355 16.319199 16.380952 16.380952 10.4536867 15.905123 15.909424 15.905123 10.6125653 16.213712 16.239467 16.239467 10.4996886 15.999377 15.999377 15.999377 10.8770463 16.648843 17.008219 17.008219 10.416517 15.825414 15.839476 15.825414 1

0.6937037 16.355765 16.434634 16.434634 10.4222956 15.838033 15.850201 15.838033 10.5989766 16.189021 16.208859 16.208859 10.6548127 16.288777 16.338224 16.338224 10.7202996 16.400499 16.504138 16.504138 10.1937008 15.244832 15.460237 15.244832 10.5382304 16.075053 16.077981 16.077981 10.4971292 15.99425 15.994267 15.99425 10.3472753 15.666794 15.714875 15.666794 10.956475 16.766189 17.409915 17.409915 1

0.5276376 16.054532 16.056061 16.056061 10.6561401 16.291096 16.341422 16.341422 10.6300778 16.245133 16.279716 16.279716 10.387967 15.761742 15.78725 15.761742 1

0.0232905 14.431652 15.204705 14.431652 10.0530915 14.651714 15.247679 14.651714 10.8123221 16.549231 16.774674 16.774674 10.933232 16.732372 17.269149 17.269149 1

0.8025221 16.533807 16.74309 16.74309 10.8971713 16.679061 17.093011 17.093011 10.683493 16.338364 16.408756 16.408756 1

0.8996481 16.682757 17.104001 17.104001 10.720228 16.40038 16.503947 16.503947 1

0.4447411 15.886247 15.892378 15.886247 10.3671647 15.71386 15.749959 15.71386 10.1162918 14.964538 15.341116 14.964538 10.8844655 16.660023 17.038607 17.038607 10.5993755 16.18975 16.20975 16.20975 10.9631213 16.775783 17.456834 17.456834 1

0.1952218 15.24971 15.462634 15.24971 10.0624227 14.706669 15.261274 14.706669 10.4786242 15.956781 15.957696 15.956781 10.891914 16.671201 17.070114 17.070114 1

0.0028767 14.151702 15.175644 14.151702 10.2820204 15.502053 15.60337 15.502053 10.2004309 15.266273 15.470859 15.266273 10.1994797 15.263265 15.469355 15.263265 10.4754061 15.950192 15.951403 15.950192 10.8982455 16.680665 17.09776 17.09776 10.4690553 15.937122 15.93904 15.937122 10.1383711 15.052126 15.374542 15.052126 10.8325338 16.58075 16.842533 16.842533 10.9188697 16.711265 17.194368 17.194368 10.2375062 15.378423 15.530192 15.378423 10.3399251 15.649061 15.702045 15.649061 10.4573311 15.912759 15.916409 15.912759 10.674494 16.322919 16.386294 16.386294 1

0.2498399 15.413761 15.550249 15.413761 10.9198644 16.712732 17.199322 17.199322 10.8532921 16.612726 16.916643 16.916643 10.2776179 15.490283 15.596033 15.490283 10.4460798 15.889084 15.89492 15.889084 10.0047495 14.194926 15.178298 14.194926 10.0013581 14.104235 15.173494 14.104235 10.0279974 14.473264 15.211448 14.473264 10.8117047 16.548262 16.77266 16.77266 10.1778059 15.192664 15.435326 15.192664 10.2293441 15.35453 15.517008 15.35453 10.5790773 16.152352 16.164957 16.164957 10.1433112 15.070743 15.382079 15.070743 10.2119972 15.302297 15.489219 15.302297 10.7805685 16.498909 16.675065 16.675065 10.1977119 15.257655 15.466563 15.257655 10.9000789 16.683399 17.105926 17.105926 10.4758071 15.951014 15.952186 15.951014 10.5481091 16.094009 16.098651 16.098651 10.1977921 15.25791 15.466689 15.25791 10.7303115 16.417125 16.531154 16.531154 10.353611 15.68193 15.725992 15.68193 1

0.5638896 16.123939 16.132145 16.132145 10.225328 15.342618 15.510547 15.342618 1

0.9789611 16.798516 17.589743 17.589743 10.3777121 15.738303 15.768789 15.738303 10.4179521 15.828556 15.842135 15.828556 1

0.0913105 14.854683 15.303796 14.854683 10.5607311 16.117982 16.125393 16.125393 10.7482405 16.446615 16.580818 16.580818 10.7094261 16.382312 16.475339 16.475339 10.9586367 16.769313 17.424756 17.424756 10.8739323 16.644137 16.995738 16.995738 10.9147289 16.705149 17.174065 17.174065 10.9356637 16.735929 17.282581 17.282581 10.091269 14.854489 15.303734 14.854489 1

0.5571844 16.111273 16.11784 16.11784 10.985731 16.808175 17.662136 17.662136 1

0.7049672 16.374813 16.463685 16.463685 10.7455217 16.442166 16.573176 16.573176 10.6887761 16.347383 16.422093 16.422093 10.8762016 16.647567 17.004818 17.004818 10.3293297 15.623157 15.683675 15.623157 10.5582241 16.113242 16.120051 16.120051 10.2690667 15.467152 15.581846 15.467152 10.2176089 15.319421 15.498175 15.319421 10.0180626 14.380132 15.197234 14.380132 10.4738136 15.946923 15.948296 15.946923 10.7999972 16.529818 16.73508 16.73508 1

0.22551 15.34316 15.510839 15.34316 10.103599 14.91038 15.322089 14.91038 1

0.9603826 16.771833 17.437026 17.437026 10.3682372 15.716362 15.751867 15.716362 1

0.8981 16.680448 17.097116 17.097116 10.9413095 16.744171 17.314782 17.314782 10.1769911 15.189928 15.434055 15.189928 10.1086057 14.932119 15.329578 14.932119 10.0359916 14.536594 15.222939 14.536594 10.082175 14.810802 15.290277 14.810802 1

0.8932067 16.673136 17.075691 17.075691 10.9841448 16.805915 17.643852 17.643852 10.6937447 16.355835 16.434739 16.434739 10.3219163 15.604784 15.670908 15.604784 10.2474289 15.406923 15.546315 15.406923 10.3867008 15.758865 15.784962 15.758865 10.5658238 16.127578 16.136291 16.136291 10.1851866 15.217166 15.446863 15.217166 10.5097435 16.019393 16.019583 16.019583 10.8051344 16.537927 16.751431 16.751431 10.1723115 15.174092 15.426771 15.174092 10.0827109 14.813442 15.291068 14.813442 10.3915871 15.769943 15.793803 15.769943 1

0.2406907 15.387633 15.535355 15.387633 10.4131067 15.817926 15.833171 15.817926 10.2491848 15.411906 15.549179 15.411906 10.2698319 15.469236 15.583113 15.469236 10.9211492 16.714626 17.205767 17.205767 10.3165467 15.591343 15.661704 15.591343 10.9619104 16.774037 17.447989 17.447989 10.9798915 16.799845 17.598917 17.598917 10.4926897 15.985326 15.985432 15.985326 10.4550438 15.90797 15.912023 15.90797 10.1704911 15.167874 15.423943 15.167874 10.9297975 16.727339 17.250587 17.250587 10.0723817 14.760956 15.275859 14.760956 10.6268356 16.239349 16.272194 16.272194 10.1957324 15.251343 15.463439 15.251343 10.1301105 15.020237 15.361986 15.020237 10.7003375 16.367002 16.451678 16.451678 10.9053766 16.691285 17.12995 17.12995 10.5767063 16.147941 16.159796 16.159796 10.7749441 16.48989 16.658193 16.658193 10.2173252 15.31856 15.497721 15.31856 10.0035083 14.16753 15.176539 14.16753 10.5780115 16.15037 16.162636 16.162636 10.9717971 16.788257 17.525002 17.525002 10.3428575 15.656158 15.707155 15.656158 10.1149255 14.958856 15.339061 14.958856 10.2839066 15.507068 15.60652 15.507068 10.3460109 15.663757 15.712663 15.663757 10.7238251 16.406367 16.513595 16.513595 10.9377752 16.739015 17.294452 17.294452 10.176992 15.189931 15.434057 15.189931 1

0.6031131 16.196567 16.21812 16.21812 10.7821647 16.501463 16.679893 16.679893 10.3394897 15.648004 15.701287 15.648004 10.4322032 15.859469 15.868715 15.859469 10.9129252 16.702481 17.165375 17.165375 10.6334453 16.251125 16.287564 16.287564 10.5546073 16.106385 16.112371 16.112371 10.1617675 15.137603 15.410433 15.137603 10.7299424 16.416514 16.530149 16.530149 10.6118174 16.21236 16.237768 16.237768 10.9797038 16.799577 17.597049 17.597049 10.0128075 14.320093 15.189744 14.320093 10.1571656 15.121305 15.403334 15.121305 10.3788857 15.741001 15.770894 15.741001 1

0.3355589 15.638436 15.694457 15.638436 10.6058071 16.201467 16.224178 16.224178 10.2528182 15.422162 15.555117 15.422162 10.2703318 15.470596 15.58394 15.470596 10.6992694 16.365197 16.448921 16.448921 10.2477536 15.407846 15.546845 15.407846 10.6439256 16.269671 16.312222 16.312222 10.3201035 15.600259 15.667797 15.600259 1

0.70402 16.373217 16.461221 16.461221 10.3661957 15.711597 15.748238 15.711597 10.4362314 15.868114 15.876289 15.868114 10.5015725 16.003142 16.003147 16.003147 10.3637972 15.705983 15.743981 15.705983 10.0831327 14.815513 15.291691 14.815513 10.7750032 16.489985 16.658369 16.658369 10.0495179 14.629399 15.242491 14.629399 10.0221093 14.420564 15.203015 14.420564 10.0870549 14.834529 15.29749 14.834529 10.2767468 15.487943 15.594584 15.487943 10.7700523 16.482019 16.643688 16.643688 10.8537984 16.613501 16.918514 16.918514 10.5796906 16.153491 16.166295 16.166295 10.9135812 16.703451 17.168525 17.168525 10.6473579 16.275712 16.320376 16.320376 10.6733823 16.321004 16.38354 16.38354 10.4690805 15.937174 15.939089 15.937174 10.3322442 15.630323 15.688713 15.630323 10.4099924 15.81106 15.82743 15.81106 10.2193786 15.324775 15.501006 15.324775 10.997015 16.824203 17.845469 17.845469 1

0.4448844 15.886551 15.89265 15.886551 10.7033167 16.372032 16.459394 16.459394 10.8424461 16.596068 16.877311 16.877311 10.9033248 16.688233 17.120567 17.120567 10.1250381 15.000152 15.354306 15.000152 10.9033211 16.688228 17.120551 17.120551 10.9944305 16.82054 17.788918 17.788918 10.2713562 15.47338 15.585637 15.47338 10.2700184 15.469744 15.583421 15.469744 10.524561 16.048533 16.049741 16.049741 1

0.2157945 15.313909 15.495276 15.313909 10.8121926 16.549027 16.774251 16.774251 10.1973694 15.256565 15.466022 15.256565 10.0888862 14.843261 15.300202 14.843261 10.6466313 16.274434 16.318646 16.318646 1

0.0458296 14.605505 15.237146 14.605505 10.7490944 16.44801 16.583227 16.583227 10.5662501 16.12838 16.137207 16.137207 10.1316119 15.026107 15.364264 15.026107 10.7052748 16.375331 16.464487 16.464487 10.7437923 16.439331 16.568336 16.568336 10.3510539 15.675838 15.721499 15.675838 10.345237 15.661895 15.711309 15.661895 1

0.1906424 15.234965 15.455425 15.234965 10.2904793 15.524413 15.61753 15.524413 10.4766246 15.95269 15.953783 15.95269 10.4371345 15.870047 15.877991 15.870047 10.7726651 16.486226 16.651416 16.651416 10.7617398 16.468586 16.619391 16.619391 10.9602231 16.771603 17.435894 17.435894 10.1022213 14.904306 15.320032 14.904306 10.7360326 16.426574 16.546818 16.546818 10.1204478 14.981622 15.347375 14.981622 10.2563225 15.431985 15.560857 15.431985 10.6807192 16.333614 16.401799 16.401799 10.7833702 16.50339 16.683551 16.683551 10.2049886 15.280589 15.478078 15.280589 10.3706778 15.72204 15.756214 15.72204 10.8571569 16.618636 16.931007 16.931007 10.1844306 15.214679 15.445679 15.214679 10.9146038 16.704964 17.173459 17.173459 10.5524828 16.102347 16.107875 16.107875 10.3289707 15.622272 15.683055 15.622272 10.7609637 16.467328 16.617144 16.617144 1

0.87102 16.639727 16.984205 16.984205 10.3519635 15.678007 15.723096 15.678007 10.6642619 16.305232 16.361127 16.361127 10.4915342 15.982996 15.983139 15.982996 10.3856821 15.756547 15.783123 15.756547 10.2659808 15.458714 15.576747 15.458714 10.3628347 15.703725 15.742275 15.703725 10.917328 16.70899 17.18675 17.18675 10.725081 16.408453 16.516979 16.516979 1

0.1349543 15.039055 15.369341 15.039055 10.3788895 15.74101 15.770901 15.74101 10.5903083 16.173124 16.189604 16.189604 10.5136817 16.027179 16.027553 16.027553 10.568694 16.132968 16.142462 16.142462 1

0.5552993 16.107699 16.113838 16.113838 10.5301937 16.059502 16.061328 16.061328 1

0.1155568 14.961485 15.34001 14.961485 10.970523 16.786429 17.514391 17.514391 1

0.8901773 16.668599 17.062673 17.062673 10.1166177 14.965889 15.341606 14.965889 10.047892 14.61898 15.240133 14.61898 1

0.2731227 15.478168 15.588565 15.478168 10.1398541 15.057749 15.376802 15.057749 10.0093425 14.273386 15.184816 14.273386 10.3064144 15.565668 15.644435 15.565668 10.634804 16.253538 16.29074 16.29074 10.343738 15.658283 15.708691 15.658283 1

0.0115516 14.303995 15.187957 14.303995 10.1071483 14.925844 15.327396 14.925844 10.1632177 15.142691 15.412674 15.142691 10.6109525 16.210796 16.235806 16.235806 10.7459244 16.442825 16.574306 16.574306 10.8824749 16.657028 17.030361 17.030361 10.6255898 16.237123 16.269312 16.269312 10.8733672 16.643282 16.99349 16.99349 10.0649065 14.720591 15.264904 14.720591 10.3230531 15.607615 15.672861 15.607615 10.2132128 15.306025 15.491156 15.306025 10.5199188 16.039448 16.040242 16.040242 10.3482026 15.669018 15.716498 15.669018 10.8149428 16.553339 16.783259 16.783259 10.0452648 14.601763 15.236328 14.601763 1

0.35229 15.678785 15.72367 15.678785 10.3234878 15.608696 15.673608 15.608696 10.1600562 15.131569 15.40779 15.131569 10.3003935 15.550209 15.634233 15.550209 10.1858172 15.219237 15.447851 15.219237 10.916062 16.70712 17.180547 17.180547 1

0.5016005 16.003198 16.003203 16.003203 10.7295976 16.415943 16.529211 16.529211 10.8245162 16.568293 16.81515 16.81515 10.1359538 15.042895 15.370861 15.042895 10.951335 16.758746 17.376045 17.376045 1

0.9346445 16.734439 17.27692 17.27692 10.2209192 15.329418 15.503473 15.329418 10.4298274 15.854351 15.864261 15.854351 10.5194586 16.038546 16.039303 16.039303 10.4704373 15.939974 15.941724 15.939974 10.8030401 16.534624 16.744739 16.744739 10.8174978 16.557339 16.791688 16.791688 10.7644197 16.472925 16.627177 16.627177 1

0.1213641 14.985349 15.348757 14.985349 10.8360708 16.586226 16.854822 16.854822 10.4498578 15.897067 15.902111 15.897067 10.8420485 16.595455 16.875895 16.875895 10.2868392 15.514831 15.611426 15.514831 10.1226732 14.990649 15.350733 14.990649 10.2847377 15.509272 15.607909 15.509272 10.8406766 16.59334 16.871024 16.871024 10.5970645 16.185524 16.204594 16.204594 1

0.73015 16.416857 16.530714 16.530714 10.2335929 15.36702 15.523862 15.36702 1

Costuri marketing Triunghiulara=a 16.0000=m 0.8164966=b

Histograma frecventei relative/ Ogiva:xbar= 15.984

s= 0.809

fabs frel frelcum mj1 0.001 0

28 0.029 0.029 14.27580947 0.047 0.076 14.61895586 0.086 0.162 14.962101

119 0.119 0.281 15.305247146 0.146 0.427 15.648394143 0.143 0.57 15.99154165 0.165 0.735 16.334686111 0.111 0.846 16.67783379 0.079 0.925 17.02097955 0.055 0.98 17.36412519 0.02 1 17.7072721 0.001

1000 1

media aritmeticamedianamodaminimmaximamplitudineaabaterea standarddispersia

limita intercuatilica inferioara 1prima cuartila 1a doua cuartila 1a treia cuartile 1limita intercuatilica superioara 1

u iabaxi )(

#VALUE!#VALUE!#VALUE!#VALUE!

14.275808539714.618954845114.962101150415.305247455815.648393761115.991540066516.334686371816.677832677217.020978982517.364125287917.70727159330

0.02

0.04

0.06

0.08

0.1

0.12

0.14

0.16

0.18


Clase

Frecventa relativa

400.0 450.0 500.0 550.0 600.0 650.00.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00


Clase

Probabilitatea

350.0 400.0 450.0 500.0 550.0 600.0 650.0


Linia x y Linia x yLQ1-Q1 13.706 1 Q3-LQS 16.548 1

15.411 1 18.253 1Q1Q3L 15.411 0.9 Q1Q3H 15.411 1.1

16.548 0.9 16.548 1.1Linia x y Linia x yX0V 450 0 X0O 0 #VALUE!

450 #VALUE! 450 #VALUE!Linia x y Linia x yX1V 550 0 X1O 0 #VALUE!

550 #VALUE! 550 #VALUE!

350.0 400.0 450.0 500.0 550.0 600.0 650.0


nj 1 2fabs faj 29 4729 fej 91 9147 faj-fej -62 -4486 (faj-fej)^2 3844 1936119 (faj-fej)^2/fej 42.242 21.275146143 270.2165 grade libertate 10111 18.30779 0.0555 Decizie: Respingere uniformitate20

1000

Testul2

2calculat=

2critic==

14.275808539714.618954845114.962101150415.305247455815.648393761115.991540066516.334686371816.677832677217.020978982517.364125287917.70727159330

0.02

0.04

0.06

0.08

0.1

0.12

0.14

0.16

0.18


Clase

Frecventa relativa

400.0 450.0 500.0 550.0 600.0 650.00.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00


Clase

Probabilitatea

350.0 400.0 450.0 500.0 550.0 600.0 650.0


350.0 400.0 450.0 500.0 550.0 600.0 650.0


3 4 5 6 7 8 9 10 11 TOTAL86 119 146 143 165 111 79 55 20 100091 91 91 91 91 91 91 91 90 1000-5 28 55 52 74 20 -12 -36 -70 -25 784 3025 2704 5476 400 144 1296 4900 -

0.2747 8.6154 33.242 29.714 60.176 4.3956 1.5824 14.242 54.444 270.20269

Respingere uniformitate

Documents

Moise Bianca