Question

For a moderately skewed distribution, mean = 172, median = 167 and S. D. = 60, the coefficient of skewness is​

Answer 1

Given :  a moderately skewed distribution, mean = 172, median = 167 and S. D. = 60

To Find : the coefficient of skewness

Solution:

coefficient of skewness   = (Mean - Mode)/SD

as Mode is not given use

Mean - Mode = 3 (Mean - Median)

Hence

coefficient of skewness   = 3 (Mean - Median)/SD

Mean = 172

Median = 167

SD = 60

coefficient of skewness   = 3 (172 - 167)/60

= 5/20

= 1/4

= 0.25

Coefficient of skewness  is 0.25

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