The following table gives the literacy rate (in percentage) of 35 cities. Find the mean literacy rate.
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
Find the midpoint of the given interval using the formula.
Midpoint (x_{i}) = (upper limit + lower limit)/2
In this case, the value of midpoint (x_{i}) is very large, so let us assume the mean value, A = 70 and class interval is h = 10.
So, u_{i }= (x_{i}A)/h = u_{i }= (x_{i}70)/10
Substitute and find the values as follows:
So, Mean = x̄ = A+(∑f_{i}u_{i} /∑f_{i})×h
= 70+(2/35)×10
= 69.42
Therefore, the mean literacy part = 69.42

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