Question

Following are the marks obtained by $9$ students in a mathematics test:
$50,69,20,33,53,39,40,65,59$
The mean deviation from the median is

• A. 9
• B. 10.5
• C. 12.67
• D. 14.76

Answer 1

Answer: (C)

Marks obtained by 9 students in Mathematics are: $50,69,20$ ,
$33,53,39,40,65,59$
Let us rewrite the given data in ascending order.
$20,33,39,40,50,53,59,65,69,$
Here, $n=9$
Median $\left(M_e\right)=5th$ term $=50$

$x_i$	$d_i=|x_i-M_e|$
20	30
33	17
39	11
40	10
50	0
53	3
59	9
65	15
69	19
N=2	$\Sigma d_i=114$

$M.D.=\frac{114}{9}$
$=12.67$