[[Statistical moment]]
# Skewness

The **skewness** $\mathrm{Skew}[X]$ of a [[real random variable]] $X : \xi \to \mathbb{R}$ is the third [[Statistical moment|standardized moment]], #m/def/prob i.e.
$$
\begin{align*}
\mathrm{Skew}[X]=\Ex\left[ \left( \frac{X-\mu}{\sigma} \right)^3 \right]
\end{align*}
$$
Standardization has the advantages of the skewness being dimensionless.

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#state/tidy | #lang/en | #SemBr