میانه (آمار)

${\displaystyle me=L_i+\frac{\frac{N}{2}-F_{i-1}}{f_i}C}$

${\displaystyle \frac{N}{2}=\frac{18}{2}=9\to }$

${\displaystyle me=L_2+(\frac{\frac{N}{2}-F_1}{f_1})C=9.5+(\frac{9-3}{7})\times 5=13.79}$

${\displaystyle \mathrm{P}(X\le m)\ge \frac{1}{2}\text{ و }\mathrm{P}(X\ge m)\ge \frac{1}{2}}$

${\displaystyle {\int }_{(-\mathrm{\infty },m]}dF(x)\ge \frac{1}{2}\text{ و }{\int }_{[m,\mathrm{\infty })}dF(x)\ge \frac{1}{2}}$

${\displaystyle \mathrm{P}(X\le m)=\mathrm{P}(X\ge m)={\int }_{-\mathrm{\infty }}^{m}f(x)dx={\int }_m^{\mathrm{\infty }}f(x)dx=\frac{1}{2}.}$