میانه (آمار)

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

${\displaystyle {\frac {N}{2}}={\frac {18}{2}}=9\rightarrow }$میانه در ستون دوم است

${\displaystyle me=L_{2}+({\frac {{\frac {N}{2}}-F_{1}}{f_{1}}})C=9.5+({\frac {9-3}{7}})\times 5=13.79}$

${\displaystyle \operatorname {P} (X\leq m)\geq {\frac {1}{2}}{\text{ و }}\operatorname {P} (X\geq m)\geq {\frac {1}{2}}\,\!}$

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

${\displaystyle \operatorname {P} (X\leq m)=\operatorname {P} (X\geq m)=\int _{-\infty }^{m}f(x)\,dx=\int _{m}^{\infty }f(x)\,dx={\frac {1}{2}}.\,\!}$