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Skewness calculator

Paste a numeric sample. The calculator reports a finite-sample adjusted estimator.

Skewness: —

Fill in the fields above — the result is computed on this page.

Sample size
—
Mean
—
Standard deviation
—
Sum of cubed z scores
—

What do these numbers mean?
  • Interpret sign and magnitude together with a plot of the data.
  • The result describes the sample; it does not prove a particular model.

At least three non-constant observations are required. Skewness reacts strongly to individual extreme values.

How do I use this page?
  1. Paste the data.
  2. Check the mean and standard deviation.
  3. Read the result and interpret it with the distribution shape.

What this page does not do: At least three non-constant observations are required. Skewness reacts strongly to individual extreme values.

Further reading

Theory — what is skewness of a distribution?

Skewness measures the asymmetry of a data distribution. A positive value usually indicates a longer right tail, while a negative value indicates a longer left tail. The calculator uses the adjusted Fisher-Pearson estimator G1, corrected for finite sample size, and computes it once you paste in your numeric data. A value close to zero suggests approximate symmetry, but it does not mean the distribution is normal — the same value can occur for distributions with very different shapes.

Frequently asked questions

Does zero prove normality?
No. It is only one shape feature and can be near zero for non-normal distributions.
Do outliers affect the result?
Yes. Higher moments are especially sensitive to outliers.

See also

← All calculators

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