1.908 1.521 1.949 0.404 1.13 2.334 3.556 0.782 1.686 1.489 0.701 2.026 1.209 1.576 1.3250.763 1.842 1.875 1.484 1.325 0.573 1.321 0.796 1.855 1.226 2.318 0.604 3.131 2.092 1.407

0.76 0.658 1.244 1.495 1.288 4.753 1.417 1.753 0.999 1.998 1.56 1.217 1.79 0.954 2.8970.904 0.785 0.95 0.699 1.024 2.661 0.96 2.505 1.363 1.616 0.788 0.667 1.393 0.774 1.417

2.99 0.808 0.988 0.774 0.858 1.428 0.799 1.393 1.963 0.799 2.948 3.581 1.209 1.438 2.1830.49 0.763 1.412 2.026 1.438 1.167 1.71 1.516 1.275 1.734 1.307 0.75 1.734 1.698 0.642

0.689 1.753 1.311 0.924 1.344 1.339 0.954 2.055 0.691 1.091 1.402 1.433 1.146 0.834 1.2221.587 1.354 1.816 1.146 0.808 0.512 1.196 0.604 1.505 1.217 1.146 1.226 2.277 0.747 0.7552.393 0.774 1.13 0.655 0.745 1.453 0.596 1.099 1.458 1.915 2.183 0.971 1.543 2.167 1.8550.873 1.307 1.235 1.645 1.463 1.013 1.095 1.122 1.398 0.615 0.462 1.122 3.209 1.861 0.3731.881 1.639 1.797 0.978 0.771 2.099 1.639 1.013 1.778 0.523 0.639 1.61 0.646 1.803 2.5590.967 1.072 0.791 1.759 0.898 2.293 1.809 1.842 0.547 2.019 1.484 2.237 1.142 1.977 1.4791.103 0.947 1.196 1.474 1.402 1.057 1.861 2.384 0.651 1.784 1.091 0.796 0.729 4.274 0.6962.084 1.335 2.033 0.579 1.538 1.188 0.706 0.755 0.567 1.302 1.307 1.33 1.901 1.006 0.6550.825 0.487 0.805 0.964 1.087 1.13 1.549 1.13 0.777 1.068 1.674 1.359 2.444 0.94 1.8680.589 1.521 0.988 1.458 0.454 1.645 0.769 0.917 0.892 0.96 2.505 1.138 0.889 2.351 2.1981.311 0.497 1.196 1.175 1.417 0.876 0.861 1.316 0.992 2.077 1.704 1.103 0.742 1.942 1.6861.142 1.13 1.035 1.527 0.785 1.053 2.497 1.627 1.901 1.293 2.532 0.75 1.103 2.661 0.95

0.93 1.378 1.463 1.468 0.898 1.576 0.954 0.598 1.297 0.861 0.934 0.551 1.279 1.656 1.8161.349 2.033 2.532 1.235 3.408 2.019 1.378 1.354 1.571 3.244 1.293 3.087 1.244 2.318 1.1141.339 0.837 0.793 1.099 1.188 1.091 2.461 0.497 1.091 1.02 1.428 1.114 1.142 1.23 0.8851.448 1.311 1.307 0.752 1.842 1.095 0.808 0.701 1.205 0.981 2.198 0.686 1.159 0.981 1.7162.048 1.316 1.753 1.599 1.956 0.895 1.922 1.103 1.868 1.463 2.206 0.898 1.261 1.083 0.8611.383 0.745 1.042 2.727 0.788 0.54 2.401 2.559 1.167 2.479 1.956 1.633 2.301 1.901 1.0350.999 3.313 1.257 0.93 1.266 1.616 2.221 1.159 0.889 1.495 0.944 1.895 0.954 0.528 1.5711.288 2.586 1.288 0.921 1.154 1.261 2.026 1.354 0.831 1.532 1.297 2.642 0.626 2.144 1.6981.674 1.068 1.354 2.041 0.611 0.626 1.433 0.834 0.892 0.816 2.796 1.02 0.624 1.339 2.2930.465 0.63 1.604 1.516 1.27 1.13 1.099 1.412 1.142 0.626 0.53 1.031 1.674 1.875 1.8550.796 0.95 0.489 2.938 0.43 1.516 0.681 2.577 0.825 3.457 1.091 0.924 1.722 1.321 1.5270.624 1.398 1.235 1.816 0.974 2.816 0.813 0.514 1.538 2.479 1.261 0.995 3.131 0.901 1.230.954 1.321 1.716 1.091 0.777 3.482 1.468 1.103 1.087 1.122 0.96 1.099 1.2 1.698 3.0650.644 1.956 1.016 2.159 0.677 1.565 1.829 1.183 0.995 1.349 1.576 1.293 0.867 0.882 1.0791.163 1.359 0.66 0.689 0.492 1.848 0.519 0.95 0.706 1.977 1.402 0.834 4.305 1.244 0.7660.947 0.914 1.279 0.755 1.27 1.604 1.297 0.885 0.985 0.282 0.76 1.809 0.333 0.978 0.8821.217 1.621 1.244 1.549 0.864 0.87 1.33 0.589 1.064 1.188 1.325 1.412 1.639 0.927 1.1961.179 2.285 0.755 1.656 0.904 1.822 1.576 0.964 0.606 1.848 1.645 3.506 0.452 0.898 1.0571.275 1.192 1.412 0.719 0.745 0.681 0.831 0.611 1.359 1.656 1.196 1.179 0.699 0.855 1.2570.908 0.94 0.873 0.721 1.5 0.551 1.142 2.152 0.802 3.198 0.525 0.974 1.072 1.991 1.0130.758 1.587 1.458 1.321 2.479 3.187 1.024 1.565 0.76 0.852 1.167 0.805 0.412 2.948 0.7112.661 1.412 1.704 1.103 2.497 2.326 5.084 2.137 1.829 1.922 2.261 0.924 1.311 1.205 1.4740.879 0.721 0.674 1.722 1.33 0.67 1.521 0.904 1.74 1.368 0.937 2.026 0.995 1.154 0.8191.146 1.222 1.373 1.302 2.277 0.427 1.016 1.759 0.745 2.137 1.65 1.339 1.095 1.468 1.1141.868 1.604 1.848 1.016 3.209 1.363 0.864 0.908 0.76 0.709 2.41 1.627 0.696 1.656 1.6680.514 0.802 1.571 0.696 1.984 1.722 1.716 1.142 1.861 1.565 0.782 1.809 1.383 1.378 0.423.054 0.867 1.428 0.964 2.033 3.361 0.686 1.402 1.527 0.777 2.31 1.167 1.083 1.23 1.3680.602 1.288 1.474 1.15 0.954 2.444 1.293 0.63 0.828 1.222 1.368 1.468 1.13 1.816 0.5811.006 1.822 0.545 2.19 0.731 2.07 1.284 0.974 1.196 1.692 0.981 2.229 2.245 1.122 1.4740.879 1.114 1.002 1.935 2.041 0.992 0.855 0.864 0.606 0.882 0.462 2.084 2.092 2.444 1.2220.802 1.616 3.506 0.338 1.543 0.87 0.402 2.577 1.248 3.054 0.846 1.248 1.65 0.825 2.0621.373 0.867 0.528 1.855 0.769 1.516 1.335 1.284 2.651 1.388 1.571 0.84 1.244 1.118 0.8281.321 1.587 0.954 2.301 1.321 1.275 2.026 1.226 1.27 0.947 1.65 1.383 1.463 0.95 0.7290.617 0.67 0.653 1.616 2.401 1.888 1.511 2.183 0.411 0.737 1.068 1.816 1.616 0.882 1.651.138 3.62 1.368 2.07 2.479 1.297 0.409 1.079 0.646 1.293 2.351 1.908 0.763 1.538 1.1181.765 2.796 1.293 0.439 2.175 1.453 0.465 1.633 1.448 1.383 1.163 1.388 0.927 0.967 1.5111.222 1.126 0.898 1.192 0.553 1.428 1.616 3.697 2.07 1.71 0.626 0.81 0.677 1.142 Y mas

Clase Frecuencia%

acumulado Clase Frecuencia%

acumulado0.214 1 0.05% 2.649 18 94.99%

0.32468182 3 0.20% 2.75968182 10 95.50%0.43536364 29 1.67% 2.87036364 9 95.96%0.54604545 56 4.50% 2.98104545 8 96.36%0.65672727 102 9.66% 3.09172727 15 97.12%0.76740909 133 16.38% 3.20240909 10 97.62%0.87809091 168 24.87% 3.31309091 9 98.08%0.98877273 166 33.27% 3.42377273 7 98.43%1.09945455 151 40.90% 3.53445455 7 98.79%1.21013636 154 48.69% 3.64513636 6 99.09%1.32081818 142 55.86% 3.75581818 4 99.29%

1.4315 129 62.39% 3.8665 3 99.44%1.54218182 111 68.00% 3.97718182 1 99.49%1.65286364 109 73.51% 4.08786364 1 99.54%1.76354545 85 77.81% 4.19854545 2 99.65%1.87422727 68 81.24% 4.30922727 2 99.75%1.98490909 60 84.28% 4.41990909 0 99.75%2.09559091 57 87.16% 4.53059091 0 99.75%2.20627273 35 88.93% 4.64127273 1 99.80%2.31695455 39 90.90% 4.75195455 0 99.80%2.42763636 30 92.42% 4.86263636 3 99.95%2.53831818 33 94.08% 4.97331818 0 99.95%

y mayor... 1 100.00%

0.214

0.767409091

1.320818182

1.874227273

2.427636364

2.981045455

3.534454545

4.087863636

4.6412727270

20406080

100120140160180

0.00%

20.00%

40.00%

60.00%

80.00%

100.00%

120.00%

Histograma

Frecuencia% acumulado

Clase

Frec

uenc

ia

media min max varianza desvest1.37238524 0.214 5.084 0.46362706 0.68090166

Hallando la media y varianza de los datos log- normal (Xi)

Momento de orden “n”

. Fdp log-normal.

De donde:

.m1 = media =

Remplazando

Resolviendo

……………………(1)

………………………..(2)

Remplazando valores tenemos que

0 2 4 6 8 10 120

2

4

6

8

10

12

VARIOGRAMA X

VARIOGRAMA

h

γ(i)

0.64605557 0.41936801 0.66731642 -0.9063404 0.12221763 0.84758353 1.26863632

-0.27049725 0.61085194 0.62860866 0.39474114 0.28141246 -0.55686956 0.27838903-0.27443685 -0.41855035 0.21833199 0.40212621 0.25309063 1.558776 0.34854196-0.10092592 -0.24207156 -0.05129329 -0.35810454 0.02371653 0.97870199 -0.040821991.09527339 -0.21319322 -0.01207258 -0.25618341 -0.15315118 0.35627486 -0.22439433

-0.71334989 -0.27049725 0.34500714 0.70606341 0.36325326 0.15443635 0.53649337-0.37251401 0.56132861 0.2707902 -0.07904321 0.29565024 0.29192307 -0.047091610.46184544 0.30306317 0.59663628 0.13627762 -0.21319322 -0.66943065 0.178982660.87254781 -0.25618341 0.12221763 -0.42312004 -0.29437106 0.37363038 -0.51751461

-0.13581972 0.26773443 0.21107097 0.49774038 0.38048912 0.01291623 0.090754360.63180355 0.4940863 0.58611861 -0.02224561 -0.26006691 0.74146104 0.4940863

-0.03355678 0.06952606 -0.23445731 0.56474547 -0.10758521 0.829861 0.592774210.09803374 -0.05445619 0.17898266 0.38797979 0.33789979 0.05543471 0.621113980.73428912 0.28893129 0.70951253 -0.5464528 0.43048287 0.17227122 -0.34814004

-0.19237189 -0.71949116 -0.216913 -0.03666398 0.08342161 0.12221763 0.43760956-0.5293291 0.41936801 -0.01207258 0.37706563 -0.78965808 0.49774038 -0.262664310.2707902 -0.69916525 0.17898266 0.16126815 0.34854196 -0.13238919 -0.14966077

0.13278111 0.12221763 0.03440143 0.42330503 -0.24207156 0.05164323 0.91509001-0.07257069 0.32063317 0.38048912 0.38390093 -0.10758521 0.45488999 -0.047091610.29936358 0.70951253 0.9290095 0.21107097 1.22612561 0.70260234 0.320633170.29192307 -0.17793121 -0.23193206 0.09440068 0.17227122 0.08709471 0.900567770.37018329 0.2707902 0.26773443 -0.28501896 0.61085194 0.09075436 -0.213193220.71686371 0.27459683 0.56132861 0.46937843 0.67090157 -0.11093156 0.653366310.32425505 -0.29437106 0.04114194 1.0032021 -0.23825719 -0.61618614 0.87588532-0.0010005 1.19785412 0.22872793 -0.07257069 0.23586232 0.47995396 0.797957540.25309063 0.95011228 0.25309063 -0.08229524 0.14323417 0.23190506 0.706063410.51521597 0.06578774 0.30306317 0.71343988 -0.49265832 -0.46840491 0.35977015

-0.76571787 -0.46203546 0.47250051 0.41607529 0.2390169 0.12221763 0.09440068-0.22815609 -0.05129329 -0.71539279 1.07772908 -0.84397007 0.41607529 -0.38419297-0.47160491 0.33504264 0.21107097 0.59663628 -0.02634398 1.03531744 -0.20702417-0.04709161 0.27838903 0.539996 0.08709471 -0.25231493 1.24760684 0.38390093-0.44005655 0.67090157 0.01587335 0.76964515 -0.39008401 0.44788582 0.603769370.15100287 0.30674914 -0.41551544 -0.37251401 -0.70927656 0.61410397 -0.6558514

-0.05445619 -0.08992471 0.24607852 -0.28103753 0.2390169 0.47250051 0.260053910.19638881 0.48304324 0.21833199 0.43760956 -0.14618251 -0.13926207 0.285178940.16466662 0.82636602 -0.28103753 0.50440506 -0.10092592 0.5999348 0.454889990.24294618 0.17563257 0.34500714 -0.32989392 -0.29437106 -0.38419297 -0.18512548-0.0965109 -0.0618754 -0.13581972 -0.32711614 0.40546511 -0.59602047 0.13278111

-0.27707189 0.46184544 0.37706563 0.27838903 0.90785525 1.15908004 0.023716530.97870199 0.34500714 0.53297843 0.09803374 0.91509001 0.84415005 1.62609835

-0.12897038 -0.32711614 -0.39452517 0.54348641 0.28517894 -0.40047757 0.419368010.13627762 0.20048886 0.31699813 0.26390154 0.82285879 -0.85097127 0.015873350.62486834 0.47250051 0.61410397 0.01587335 1.16595936 0.30968815 -0.14618251

-0.66553201 -0.22064667 0.45171236 -0.36240562 0.68511501 0.54348641 0.5399961.11645221 -0.1427163 0.35627486 -0.03666398 0.70951253 1.21223855 -0.37687765

-0.50749783 0.25309063 0.38797979 0.13976194 -0.04709161 0.89363604 0.25696510.00598207 0.5999348 -0.60696948 0.78390154 -0.31334182 0.72754861 0.24998021

-0.12897038 0.10795714 0.001998 0.66010733 0.71343988 -0.00803217 -0.15665381-0.22064667 0.47995396 1.25447579 -1.08470938 0.43372857 -0.13926207 -0.911303190.31699813 -0.1427163 -0.638659 0.6178847 -0.26266431 0.41607529 0.288931290.27838903 0.46184544 -0.04709161 0.83334381 0.27838903 0.24294618 0.70606341

-0.48288626 -0.40047757 -0.42617815 0.47995396 0.87588532 0.63551807 0.412771680.12927234 1.28647403 0.31334982 0.72754861 0.90785525 0.26005391 -0.894040120.56815069 1.02818982 0.2569651 -0.82325587 0.77702866 0.37363038 -0.765717870.20048886 0.11867153 -0.10758521 0.17563257 -0.59239728 0.35627486 Y mas …….

Clase Frecuencia%

acumulado Clase Frecuencia%

acumulado-1.54177926 1 0.05% 0.04215954 100 36.65%-1.46978205 0 0.05% 0.11415676 110 42.21%-1.39778483 0 0.05% 0.18615398 116 48.08%-1.32578761 0 0.05% 0.2581512 128 54.55%-1.25379039 1 0.10% 0.33014842 106 59.91%-1.18179317 2 0.20% 0.40214564 110 65.47%-1.10979595 0 0.20% 0.47414286 113 71.18%-1.03779873 8 0.61% 0.54614007 108 76.64%-0.96580152 4 0.81% 0.61813729 84 80.89%-0.8938043 5 1.06% 0.69013451 69 84.38%

-0.82180708 13 1.72% 0.76213173 65 87.66%-0.74980986 13 2.38% 0.83412895 59 90.65%-0.67781264 18 3.29% 0.90612617 49 93.12%-0.60581542 24 4.50% 0.97812339 39 95.10%-0.5338182 29 5.97% 1.0501206 17 95.96%

-0.46182099 47 8.34% 1.12211782 21 97.02%-0.38982377 42 10.47% 1.19411504 19 97.98%-0.31782655 53 13.14% 1.26611226 16 98.79%-0.24582933 87 17.54% 1.33810948 13 99.44%-0.17383211 81 21.64% 1.4101067 2 99.54%-0.10183489 102 26.79% 1.48210392 4 99.75%-0.02983767 95 31.60% 1.55410113 1 99.80%

y mayor... 4 100.00%

-1.541779264

-1.325787608

-1.109795953

-0.893804297

-0.677812641

-0.461820985

-0.24582933

-0.029837674

0.186153982

0.402145638

0.618137293

0.834128949

1.050120605

1.26611226

1.4821039160

20

40

60

80

100

120

140

0.00%

20.00%

40.00%

60.00%

80.00%

100.00%

120.00%

Histograma

Frecuencia% acumulado

Clase

Frec

uenc

ia

media min max varianza desvest c.v

0.20376854-

1.54177926 1.62609835 0.22741229 0.47687764

Se observa que la media aritmética de los valores transformados ( ), está relacionado a su

media logarítmica que es y a su varianza logarítmica

De (2):

Remplazando los valores tenemos

De (1)

Remplazando valores tenemos

0 2 4 6 8 10 120

2

4

6

8

10

12

VARIOGRAMA lnx

VARIOGRAMA

h

γ(i)

CONCLUSIONES

El variograma no es conocido debido a que los datos fueron aleatorios y en la

parte final presenta una tendencia aumentar

Se observa que las muestran dadas tienen una distribución log- normal

El histograma de los datos transformados tiende a formar la campana de gauss

debido a que proviene de una distribución log normal.