The median for the following frequency distribution is:x: 1 2 3 4 5 6 7 8 9f: 8 10 11 16 20 25 15 9 6

The median for the following frequency distribution is:
$\begin{array}{l} x : 1 2 3 4 5 6 7 8 9 \\ f : 8 10 11 16 20 25 15 9 6 \end{array}$

A
6
B
5
C
7
D
4

Solution:

Calculation of median

x

f

c f

1

2

3

4

5

6

7

8

9

8

10

11

16

20

25

15

9

6

8

18

29

45

65

90

105

114

120

N = 120

Here, $N = 120 \Rightarrow \frac{N}{2} = 60$ .

We find that the cumulative frequency just greater than $\frac{N}{2},$

is 65 and the value of x corresponding to 65 is 5. Therefore, median is 5.

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