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Question

If the mean of the following frequency distribution is 4.5, find the misssing frequency f.

Variable12345678910Frequency512f1379123114


A
25
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B
50
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C
35
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D
60
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Solution

The correct option is B 50

VariableFrequencyProductxyxy155212243f3f41352573569547128483249119910440Totaly=76+fxy=417+3f

Mean = ΣxyΣy

4.5=417+3f76+f

342+4.5f=417+3f

4.5f3f=417342

1.5f=75

f=751.5=50


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