Popoviciu inequality on variances (source code)

= Popoviciu inequality on variances
{c}
{wiki=Popoviciu's_inequality_on_variances}

If a <random variable> $X$ takes values in $[m,M]$, then
$$
\operatorname{Var}(X)\leq\frac{(M-m)^2}{4}.
$$