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Kurtosis calculator

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

Kurtosis: —

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

Sample size
—
Mean
—
Standard deviation
—
Kurtosis (excess + 3)
—

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 four non-constant observations are required. The result is highly outlier-sensitive and unstable in small samples.

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 four non-constant observations are required. The result is highly outlier-sensitive and unstable in small samples.

Further reading

Theory — what is kurtosis?

Excess kurtosis describes the heaviness of a distribution's tails and the concentration of values relative to a normal distribution. For a normal distribution the theoretical excess value is zero, and classical kurtosis equals three. The calculator uses the adjusted excess estimator G₂, suited to a finite sample size. A result near zero does not automatically mean the distribution is normal — it is only one feature of its shape.

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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