First slide

Introduction to statistics

Question

Runs scored by a batsman in 10 innings are:38,70,48,34,42,55,63,46,54,44. The mean deviation about median, is

Moderate

A

6.4
B

10.6
C

9.6
D

8.6

Solution

$Given data ascending order 34,38,42,44,46,48,54,55,63,70 median =M= \frac{46 + 48}{2} = 47$
$\begin{matrix} Mean deviation = \frac{\sum | x_{i} - M |}{n} \\ = \frac{\sum | x_{i} - 47 |}{10} \\ = \frac{13 + 9 + 5 + 3 + 1 + 1 + 7 + 8 + 16 + 23}{10} \\ = \frac{86}{10} = 8.6 \end{matrix}$

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