Question

Number of goals scored by Messi in champion's league for past 10 years is a follows: {1, 1, 6, 9, 8, 12, 14, 8, 8, 10}. Find the mean deviation about median.

• A. 2.8
• B. 2.9
• C. 2.5
• D. 3

Answer 1

The correct option is B

2.9

First, we have to calculate the median of the goals.
Arranging the given values in ascending order, we get,
1, 1, 6, 8, 8, 8, 9, 10, 12, 14,

5^th and 6^th values are 8 and 8.

$\therefore Median=\frac{8+8}{2}=8$

$\sum |X-M|=7+7+2+1+0+4+6+0+0+2=29$

$MD\left(M\right)=\frac{\sum |X-M|}{N}=\frac{29}{10}=2.9$