Q.
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
Statistics
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, $n=9$
Median $\left(M_{e}\right)=5 th$ 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
$\Sigma d_{i}=114$
$M.D. =\frac{114}{9}$
$=12.67$
| $x_{i}$ | $d_{i}=|x_{i}-M_{e}|$ |
|---|---|
| 20 | 30 |
| 33 | 17 |
| 39 | 11 |
| 40 | 10 |
| 50 | 0 |
| 53 | 3 |
| 59 | 9 |
| 65 | 15 |
| 69 | 19 |
| N=2 | $\Sigma d_{i}=114$ |