A die is rolled and let x denote twice the number appearing on its face. Mean of x is

Given x denote twice the number appearing on face of die So,

X={ 2, 4, 6, 8, 10, 12 }

Now mean $\left(\overline{\mathrm{x}}\right)=\sum _{ }\mathrm{xP}(\mathrm{X}=\mathrm{x})$

                         $$\begin{gathered} =\frac{2}{6}+\frac{4}{6}+\frac{6}{6}+\frac{8}{6}+\frac{10}{6}+\frac{12}{6} \\ =\frac{42}{6} \\ =7 \end{gathered}$$