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kurtosis

Builtin index · Statistics & ML

result = kurtosis(x)

Input: x · Output: result

What it is

Fourth standardized moment, population form, of a length-N numeric vector x.

Overloads

One call shape — this function is not overloaded.

CodeInputOutputDescription
result = kurtosis(x)
x vectornot documented yet
result number
Returns a single number — not excess kurtosis, so a normal distribution scores 3.

Examples

From the documentation, and run by the build -- the output and the figure below are what the engine actually produced. Simplest first.

scores = [3, 5, 5, 5, 6, 7, 7, 9, 20]
print("mode: {mode(scores)}")
print("skewness: {round(skewness(scores), 3)}")
print("kurtosis: {round(kurtosis(scores), 3)}")
output
mode: 5
skewness: 1.957
kurtosis: 5.693

from statistics-ml

How it works

kurtosis(x) — Pearson's fourth standardized moment (population form, NOT excess kurtosis): a normal distribution scores 3.0, not 0 — matching MATLAB's kurtosis, not SciPy's default fisher=True convention.

From the note above this builtin in the interpreter, where the reasoning was written down as it was built.