First slide

Introduction to statistics

Question

A batsman scores sums in 10 innings 38, 70, 48,34,42,55, 46, 63, 54 and 44, then the Mean deviation from median is

Easy

A

8.6
B

6.4
C

9.6
D

10.6

Solution

The ascending order of the given data are 34, 38, 42, 44, 46,48,54,55,63, 70
Hence, Median, $M = \frac{46 + 48}{2} = 47$
$\begin{aligned} ∴ Median deviation = \frac{Σ |x_{i} - M|}{n} = \frac{Σ |x_{i} - 47|}{n} \\ = \frac{13 + 9 + 5 + 3 + 1 + 1 + 7 + 8 + 16 + 23}{10} = 8 .6 \end{aligned}$

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