BASIC STATISTICS

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BASIC STATISTICS. MEAN / MODE / MEDIAN / SD / CV. . - PowerPoint PPT Presentation

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BASIC STATISTICSMEAN / MODE / MEDIAN / SD / CV1 350 . 3 (mean) (median) (mode)HISTOGRAM70 80 72 75 82 68 69 70 72 73 75 80 81 75 78 81 68 65 77 6570 72 80 81 71 72 76 75 74 73 75 74 75 78 72 73 75 73 75 7481 82 71 72 73 75 76 77 73 68 66 68 70 68 72 71 70 69 69 683HISTOGRAM (2)Item7894MODEMODE = = MODE = 765MEDIANMEDIAN = = MEDAIN = 73Item66336869708177210277493676114778451>78960 = 60 = 30

6MEAN70 80 72 75 82 68 69 70 72 73 75 80 81 75 78 81 68 65 77 6570 72 80 81 71 72 76 75 74 73 75 74 75 78 72 73 75 73 75 7481 82 71 72 73 75 76 77 73 68 66 68 70 68 72 71 70 69 69 68MEAN = =

MEAN =70 + 80 + 72 + ... + 69 + 69 +69

60=73.387MODE76MEDIAN73MEAN73.3870 80 72 75 82 68 69 70 72 73 75 80 81 75 78 81 68 65 77 6570 72 80 81 71 72 76 75 74 73 75 74 75 78 72 73 75 73 75 7481 82 71 72 73 75 76 77 73 68 66 68 70 68 72 71 70 69 69 688Standard Deviation

Variance = SD2

922 - 3 =-1133 - 3 =0055 - 3 =2444 - 3 =1111 - 3 =-2433 - 3 =0055 - 3 =2433 - 3 =0022 - 3 =-1122 - 3 =-11Sum = 30Sum =16N =10N-1 =9MEAN =3.0Var =1.78SD =

10 SD

68% mean+1SD95% mean+2SD99% mean+3SD11 12 . 4 . SD = 4 SD = = 2

68% 12+2 10 14 .95% 12+4 8 16 .99% 12+6 6 18 .

12QUIZ = 85 /= 15 / = 105 /= 35 /

1. ?2. ?3. 95%

13

Non-NormalNormalNon-Normal1422 - 3 =-1133 - 3 =0055 - 3 =2444 - 3 =1111 - 3 =-2433 - 3 =0055 - 3 =2433 - 3 =0022 - 3 =-1122 - 3 =-11Sum = 30Sum =16N =10N-1 =9MEAN =3.0Var =1.78SD =

15Coefficient of Variation (CV) SD 0-100

16= 85 /= 15 /%CV= 17.65% = 105 /= 35 / %CV= 33.33%

%CV ?17

18 3 ( ) - = 3 ( ) (Symmetry)

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