Mathematics - Statistics Question with Solution | TestHub

$\frac{1}{\mathrm{n}}\sum \left|{\mathrm{x}}_{\mathrm{i}}-\mathrm{A}\right|$ $\mathrm{A}=$ Median $=\frac{25\mathrm{a}+26\mathrm{a}}{2}=25.5\mathrm{a}$ Mean deviation $=\frac{1}{50}\{|\mathrm{a}-25.5\mathrm{a}|+|2\mathrm{a}-25.5\mathrm{a}|\}=\frac{2}{50}\{(24.5\mathrm{a}+23.5\mathrm{a})+\dots (0.5\mathrm{a})\}$ $=\frac{2}{50}\{312.5\mathrm{a}\}=50$ (Given) $\Rightarrow 625\mathrm{a}=2500\Rightarrow \mathrm{a}=4$