Tasodifiy o'zgaruvchi $X$ berilganda, uning variansiyasi $\sigma ^2 = E(X^2) -[E(X) ^2$, bu erda $E(X) $ $ X$ ning kutilgan qiymati. Diskret tasodifiy o'zgaruvchi $X$ uchun, $E(X) =\sum x_iP(X=x_i) $. Uzluksiz o'zgaruvchi uchun, $E(X) = \int_{\infty}^{+\infty} xp(x) dx$. Masalan, $X$ mukammal zarni tashlash natijasi bo'lsin, bu erda X diskret tasodifiy o'zgaruvchi va $PX(=1) = P(X=2) =...{\infty}=6) = \frac{1}{6}{6}{6
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