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Answered 2014-04-19 14:16:42

If a random variable X has mean value m, and standard deviation s, then

Skewness = E{[(x - m)/s]3}

which can be simplified to

skewness = [E(X3) - 3ms2 - m3]/s3

and for discrete X, E(X3) = sum of x3*Prob(X = x) where the summation is over all possible values of x.

While for continuous X, E(X3) = integral of x3*f(x) where the integral is over the domain of X.

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