First slide

Introduction to statistics

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

Easy

A

9
B

10.5
C

12.67
D

14.76

Solution

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 [odd]
Median (M_e) = 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
$N = 2$ ${Σd}_{i} = 114$
$M.D. = \frac{|x_{i} - M_{e}|}{n} = \frac{114}{9} = 12 .67$

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