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

Name: Wired Faculty - The Best Learning App
Rating: 4.6 (1864 reviews)

Solution

Here, we have

sum from blank to blank of f subscript i space equals 35 comma space sum from blank to blank of f subscript i u subscript i equals negative 2 comma space h space minus space 10 space a n d space A space equals 70

Now,

top enclose straight x space equals space A plus fraction numerator begin display style sum from blank to blank of end style f subscript i u subscript i over denominator begin display style sum from blank to blank of end style f subscript i end fraction cross times h

equals 70 plus open parentheses fraction numerator negative 2 over denominator 35 end fraction close parentheses cross times 10 equals 70 minus 4 over 7

= 70-0.57 = 69.43%
Hence, the mean literacy rate is 69.43%.

For Daily Free Study Material Join wiredfaculty

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