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I recently started learning statistics. I got problem while learning skewness & kurtosis concept i.e in my search for formulas regarding skewness & kurtosis it is showing two different formulas and don't understand when to use which.

skewness@1 skewness@2

And the same problem for kurtosis is also having when to use lengthy formula and when to use small.

Can any one please give me clarification?

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    $\begingroup$ Check out Joanes, D. N., & Gill, C. A. (1998). Comparing measures of sample skewness and kurtosis. The statistician, 183-189. $\endgroup$
    – Anthony
    Commented Jun 13, 2015 at 18:37

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Different estimators of skewness and kurtosis result in different equations being used. However, for adequate sample sizes they shouldn't deviate much. This is further discussed here

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    $\begingroup$ These aren't different definitions: they are different estimators of the same quantity. $\endgroup$
    – whuber ♦
    Commented Jun 12, 2015 at 16:28

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