The following table gives the literacy rate (in percentage) o f 35 cities. Find the mean literacy rate.

Question :

Literacy rate (in %)45 – 5555 – 6565 – 7575 – 8585 – 95
Number of cities3101183

Solution :

Let the assumed mean, A = 70 and class size, h = 10

So, \(u_i\) = \(x_i – 70\over 10\)

Literacy rate (in %)Mid-value (\(x_i\))Frequency (\(f_i\))\(u_i\) = \(x_i – 70\over 10\)\(f_iu_i\)
45 – 55503-2-6
55 – 656010-1-10
65 – 75701100
75 – 8580818
85 – 9590326
Total35-2

Mean = A + h \(\times\) \(\sum f_iu_i\over \sum f_i\)

= 70 + 10 \(\times\) \(-2\over 35\) = 70 – 0.57 = 69.43%

Thus, mean literacy rate is 69.43%

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