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Find the arithmetic mean of the following data.X51015202530F356213
Question

Find the arithmetic mean of the following data.

X

5

10

15

20

25

30

F

3

5

6

2

1

3

A.

15.5

B.

13.5

C.

12.5

D.

14.5

Correct option is A

Given:

Data for calculating arithmetic mean

Formula Used:

Mean =xififI \frac{\sum x_i f_i }{\sum f_I}​​

Solution:

X

5

10

15

20

25

30

F

3

5

6

2

1

3

xifix_i f_i​​

15

50

90

40

25

90

xifi\sum x_i f_i  = 15 + 50 + 90 + 40 + 25 + 90 = 310

fi\sum f_i = 3 + 5 + 6 + 2 + 1 + 3 = 20

Mean =31020= \frac{310}{20}​ = 15.5

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