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Sample Excess Kurtosis of 5 Numbers Calculator

Adjusted excess kurtosis g₂ for n = 5.

Compute the adjusted excess kurtosis g₂ of a 5-number list (zero for a normal distribution; positive = heavier tails / more outliers, negative = lighter tails).

Daniel Oh By Daniel Oh
Published Last reviewed 1 min read

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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

g₂ = ((n(n+1)) / ((n−1)(n−2)(n−3))) · Σ((xᵢ − x̄)/s)⁴ − 3(n−1)² / ((n−2)(n−3)).

In depth

Compute the adjusted excess kurtosis g₂ of a 5-number list (zero for a normal distribution; positive = heavier tails / more outliers, negative = lighter tails).