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Find the arithmetic mean of the given data. X 10 20 30 40 50F 5 5 4 6 5
Question

Find the arithmetic mean of the given data.

X
10
20
30
40
50
F
5
5
4
6
5

A.

26.4

B.

30.6

C.

30.4

D.

16.4

Correct option is C

Given:

X = (10, 20, 30, 40, 50).

FFF = (5, 5, 4, 6, 5).

Formula used:

Mean=Σ(X×F)ΣFMean = \frac{Σ(X × F)}{ΣF} 

Solution:

∑(X×F) = 50 + 100 + 120 + 240 + 250 = 760

∑F  =  5 + 5 + 4 + 6 + 5 = 25

Mean = 76025\frac{760}{25} = 30.4

Thus the correct answer is (C)

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