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

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Answers (1)

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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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