Pearson's Skewness Coefficients

Author

Eric W. Weisstein
March 2, 2015

This notebook downloaded from http://mathworld.wolfram.com/notebooks/Statistics/PearsonsSkewnessCoefficients.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/PearsonsSkewnessCoefficients.html.

©2015 Wolfram Research, Inc. except for portions noted otherwise

Initialization

<<Statistics`DescriptiveStatistics`

Checks

data={1,1,1,2};

PearsonSkewness1 (V5.2) = PearsonModeSkewness

PearsonSkewness1[data]

...the above is wrong; the factor of 3 should not be there; cf. Kenney and Keeping, Part 1, p. 101)

((Mean[data]-Mode[data])/(StandardDeviation[data]))

...correct...

PearsonSkewness2 (V5.2)

PearsonSkewness2[data]

3((Mean[data]-Median[data])/(StandardDeviation[data]))