Correct Answer - Option 2 : 9
Given:
Following observation table is given along with frequency
Formula Used:
To calculate median we always need to calculate the cumulative frequency so when discrete data is given then we find the cumulative frequency just greater than (N/2)
Where, N = ∑f
Calculation:
To calculate the median we have to calculate cumulative frequency first
|
x
|
f
|
Cumulative frequency (F)
|
|
1
|
8
|
8
|
|
3
|
12
|
20
|
|
5
|
7
|
27
|
|
7
|
11
|
38
|
|
9
|
10
|
48
|
|
11
|
9
|
57
|
|
13
|
15
|
72
|
|
15
|
11
|
83
|
|
17
|
6
|
89 = N
|
|
|
N = ∑f = 89
|
|
∴ N/2 = 89/2 = 44.5
So, 44.5 lie in 45 and the value of x corresponding to 48 is 9
∴ Median is 9
Hence, option (2) is correct
