Question

The scores of a batsman in ten innings are: $38,70,48,34,42,55,63,46,54,44$. Find the mean deviation about median.

• A. $\frac{43}{5}$
• B. $\frac{44}{5}$
• C. $\frac{41}{5}$
• D. $\frac{42}{5}$

Answer 1

The correct option is A $\frac{43}{5}$

$\begin{array}{c}38,70,48,42,55,63,46,54,44\\ Arranging:34,38,42,44,48,55,63,70\\ Median=\frac{\frac{N}{2},\frac{n}{2}+1}{2}=\frac{5,6}{2}=\\ =\frac{46+48}{2}=47\\ Meandeviation\\ =\left|34-47\right|+\left|38-47\right|+\left|42-47\right|+\left|44-47\right|\\ +\left|46-47\right|+\left|48-47\right|+\left|54-47\right|+\left|55-47\right|\\ \left|63-47\right|+\left|70-47\right|\\ \overline{10}\\ =13+9+5+3+1+1+7+8+16+23\\ =\frac{86}{10}=86\end{array}$