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Question

The following table gives, the literacy rate (in percentage) in 40 cities. Find the mean literacy rate, choosing a suitable method. Literacy rate(%)45555565657575858595Number of cities4111294

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Solution

Using Direct method, the given data is shown as follows:

Literacy rate (%) Number of cities (fi) Class mark (xi) (fixi)
45 - 55 4 50 200
55 - 65 11 60 660
65 - 75 12 70 840
75 - 85 9 80 720
85 - 95 4 90 360
Total ∑fi=40 ∑(fi×xi)=2780

The mean of given data is given by

¯x = ∑(fi×xi)/∑fi

= 2780/40

= 69.5

Thus, the mean literacy rate is 69.5%.


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