1.

The following distribution shows the daily pocket allowance given to the children of a multistory building. The average pocket allowance is Rs. 18.00. Find out the missing frequency. Class interval: 11 - 13 13 - 15 15 - 17 17 -19 19 - 21 21 - 23 23 - 25 Frequency: 7 6 9 13.... 5 4

Answer»

Given, 

Mean = 18

Let missing frequency be V

 Class interval Mid value (xi) fi fixi
 11 - 13 12 7 84
 13 - 15 14 6 84
 15 - 17 16 9 144
 19 - 21 20 V20V
 21 - 23 22 5 110
 23 - 25 24 4 56
 N = 44 + V\(\sum\)fixi = 752 + 20V

Mean = \(\frac{\sum f_ix_i}{N}\)

 \(18 = \frac{752+20V}{44+V}\)

792 + 18V = 752 + 20V 

792 – 752 = 20V – 18V 

40 = 2V 

V = 20



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