Question

Estimate Pearson’s First Coefficient of skewness for the given the data: 84 38 76 70 84 59 82 76 74 52 76 85 76 91 62 54 72 76.

Answer 1

The Pearson's First Coefficient of skewness is given by the formula below:

Where 

= Mean, Mo = Mode and s = Standard Deviation

Given the data set: 84 38 76 70 84 59 82 76 74 52 76 85 76 91 62 54 72 76.

Mode: 76

Mean: 71.5

To calculate Standard Deviation, follow the steps below;

Standard Deviation: 13.23

Substitute all values into the Pearson's Formula;

(71.5 - 76) / 13.23 = - 4.5/13.23 = - 0.34

Comment: The direction of skewness is given by the sign. A negative value implies that the distribution is negatively skewed.

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