(Q17). The following table gives the literacy rate (in percentage) of 35 cities. Find the mean literacy rate.

Literacy rate in % 45-55 55-65 65-75 75-85 85-95
Number of cities 3 10 11 8 3

Solution :

Number of days Number of students (fi) Class marks xi ui =
xi - a
h
fiui
45-55 3 50 -2 -
55-65 10 60 -1 -
65-75 11 70 a 0
75-85 8 80 1
85-95 3 90 2
- ∑fi = 35 - - ∑fiui = -

Here a = 70, h = 10,

Now,

x̄ = a +
∑fiui
∑fi
× h
x̄ = 70 -
35
× 10 = .4285