Find the median for the following frequency distribution?X135791113151

Find the median for the following frequency distribution?X1357911131517f812711109151161. 72. 93. 114. 13

Answer» 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

Discussion

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