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

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

Literacy rate (in %) - Number of cities

45 - 55                    → 3

55 - 65                    → 10

65 - 75                    → 11

75 - 85                    → 8

85 - 98                    → 3

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Find the midpoint of the given interval using the formula.

Midpoint (xi) = (upper limit + lower limit)/2

In this case, the value of mid-point (xi) is very large, so let us assume the mean value, A = 70 and class interval is h = 10.

So, u= (xi-A)/h = u= (xi-70)/10

Substitute and find the values as follows:

So, Mean = x̄ = A+(∑fiui /∑fi)×h

= 70+(-2/35)×10

= 69.42

Therefore, the mean literacy part = 69.42

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