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Skewness and Kurtosis

**Skewness** is the measure of asymmetry in a statistical distribution or a comparative measure of the two tails. If the curve is symmetrical, skewness will be zero. Right skewed distributions (longer right tail) will have a positive skew while left skewed distributions (longer left tail) will have a negative skew. Its values typically ranges from -3 to 3.

**Kurtosis** is a measure of sharpness of the peak of a distribution. It also gives us a measure of the combined weight of the tails as compared to the weight of the remaining part of the distribution. If the weight of tails is large, it means the curve will look flatter while if the weight is less, the curve will look like a sharp peak. A standard normal distribution has a Kurtosis of 3.

An application oriented question on the topic along with responses can be seen below. The best answer was provided by Vishwadeepak Choudhary on 27th August 2018.

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## Vishwadeep Khatri 265

Q. 87

Skewness and kurtosis are two commonly listed values when you run any software’s descriptive statistics function. The skewness parameter measures the relative sizes of the two tails. The kurtosis parameter is a measure of the combined weight of the tails relative to the rest of the distribution. Since these numbers appear automatically, it is natural to wonder how they might be used in practice. What purpose do these shape statistics serve in any data analysis?Note for website visitors- Two questions are asked every week on this platform. One on Tuesday and the other on Friday.All questions so far can be seen here - https://www.benchmarksixsigma.com/forum/lean-six-sigma-business-excellence-questions/Please visit the forum home page at https://www.benchmarksixsigma.com/forum/ to respond to the latest question open till the next Tuesday/ Friday evening as per Indian Standard Time.The best answer is always shown at the top among responses and the author finds honorable mention in our Business Excellence dictionary at https://www.benchmarksixsigma.com/forum/business-excellence-dictionary-glossary/ along with the related term.## Link to post

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