STATISTICAL CHARAKTERISTICS 1 STATISTICAL CHARAKTERISTICS 1 Location central

STATISTICAL CHARAKTERISTICS 1

STATISTICAL CHARAKTERISTICS 1. Location (central tendency) – reprezentation of the sample (population) on numerical axis, a typical or central value that best describes the data. 2

STATISTICAL CHARAKTERISTICS 2. dispersion – indication of the spread of measurements 3

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STATISTICAL CHARAKTERISTICS 3. shape – distribution of values 5

LOCATION MEAN MEDIAN – 50% quantile, middle value of ordered data set MODE – most frequent value 6

MEDIAN AND MEAN Without outliers: median mean 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 With outliers: median mean 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 7

DISPERSION range–maximum - minimum variance – mean deviation from central tendency measure standard deviation– square root of variance, it has same unit of measurement as mean coeff. of variation– relative measure of variability interquartile range – upper quartile – lower quartile 8

VARIANCE population variance 9 sample variance:

COEFFICIENT OF VARIANCE 10

INTERQUARTILE RANGE 11

SHAPE Deviation of sample distribution from model distribution symmetry (skewness) kurtosis 12

values 13

SYMMETRY A>0 14 A=0 A<0

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KURTOSIS 16

KURTOSIS For comparison with normal distribution: E = 0 (3) normal E 0 (3) platycurtic E 0 (3) leptocurtic 17