# graphical and statistical approach to evaluate the skewness and kurtosis of a data set

In practice, we may always be asked to check the skewness and kurtosis of a data set. I have two questions.

Given a probability distribution, how can we determine/evaluate the skewness and kurtosis of this data set?

If we have the data sample itself, which kind of statistics can help us evaluate its skewness and kurtosis?

• "Given a probability distribution, how can we determine/evaluate the skewness and kurtosis of this data set?" -- this question conflates two different things (data sets and probability distributions). Which do you mean? – Glen_b Dec 8 '13 at 2:24

For any given sample, skewness and kurtosis can be calculated by many programs including Rusing the moments package; SAS using PROC UNIVARIATE or even Excel (and doubtless also programs that I am not familiar with, such as MATLAB, SPSS and so on)