For a distribution, mean = 60, median = 75 and variance = 900. Find Pearsonian coefficient of skewness Skp. - Mathematics and Statistics

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Sum

For a distribution, mean = 60, median = 75 and variance = 900. Find Pearsonian coefficient of skewness Skp.

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Solution

Given, Mean = 60, Median = 75, Variance = 900
∴ S.D. = `sqrt("Variance") = sqrt(900)` = 30

Sk = `(3("Mean"-"Median"))/"S.D."`

= `(3(60 - 75))/30`

= `(3(-15))/30`

= `(-15)/10`

∴ Sk = – 1.5

Concept: Measures of Skewness - Karl Pearson’S Coefficient of Skewness (Pearsonian Coefficient of Skewness)
  Is there an error in this question or solution?
Chapter 3: Skewness - Miscellaneous Exercise 3 [Page 44]

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