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

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

       9

Answers (1)

best_answer

Let the assumed mean be a = 75 and h = 10

Literacy

rates  

Number of

cities f_i

Class mark

x_i

 d_i = x_i -a u_i = \frac{d_i}{h} f_iu_i
45-55 3 50 -20 -2 -6
55-65 10 60 -10 -1 -10
65-75 11 70 0 0 0
75-85 8 80 10 1 8
85-95 3 90 20 2 6
 

\sum f_i

= 35

      

\sum f_ix_i

= -2

Mean, 

\overline x =a + \frac{\sum f_iu_i}{\sum f_i}\times h 
= 70 + \frac{-2}{35}\times10 = 70 -0.57 = 69.43
Therefore, the mean mean literacy rate is 69.43%

Posted by

HARSH KANKARIA

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