Q. A batsman scores sums in 10 innings 38, 70, 48, 34, 42, 55, 46, 63, 54 and 44, then the deviation from median is
A) 8.6
B) 6.4
C) 9.6
D) 10.6
Explanation
(a)
The ascending order of the given data are 34, 38, 42,44,46,48, 54,55,63, 70
Hence, Median, $M = \frac{46 + 48}{2} = 47$
$\therefore$ Median deviation
$= \frac{\sum_{}^{}{|x_{i} - M|}}{n} = \frac{\sum_{}^{}{|x_{i} - 47|}}{n}$
$= \frac{13 + 9 + 5 + 3 + 1 + 1 + 7 + 8 + 16 + 23}{10}$
$= 8.6$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.