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Find the mean of the following distribution.x:56789f:4814113
Question

Find the mean of the following distribution.

x:

5

6

7

8

9

f:

4

8

14

11

3

A.

8.325


B.

9.125

C.

7.025

D.

5.225

Correct option is C

Given :

x

5

6

7

8

9

f

4

8

14

11

3

Formula Used:

xˉ=fxf\bar{x} = \frac{\sum fx}{\sum f}​​
Solution:
fx =x ×f

x

f

fx

5

4

20

6

8

48

7

14

98

8

11

88

9

3

27

∑f=4+8+14+11+3=40

∑fx=20+48+98+88+27=281

xˉ=28140=7.025\bar{x} = \frac{281}{40} = 7.025

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