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Question

Obtain the mean of the given data by assumed mean method. xi fi

25 3
35 5
45 4
55 6
65 8
75 10
85 9


A
66.11
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B
55.22
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C
50.14
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D
62.14
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Solution

The correct option is A 66.11
Suppose we assume ‘ A = 55’ as assumed mean, then deviation of other observations from the assumed mean is given in table.

Sum of frequencies = 18
fi = 18

Sum of the fi×di products = (-90) + (-100) + (-40) + 0 + 80 + 200 + 270 = 200 xi fi di=xA fidi
25 3 -30 -90
35 5 -20 -100
45 4 -10 -40
A=55 6 0 0
65 8 10 80
75 10 20 200
85 9 30 270
fi = 18 fidi = 200


Mean=A+fidifi

=55+20018

=55+11.11=66.11

Thus, the mean for the given data is 66.11.

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