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Solution


Q.

For the following distribution:

Class 0-5 5-10 10-15 15-20 20-25
Frequency 10 15 12 20 9

 

the sum of lower limits of the median class and modal class is
1 15  
2 25  
3 30  
4 35  

Ans.

(2)

Class Frequency (f) c.f.
0 - 5 10 10
5 - 10 15 25
10 - 15 12 37
15 - 20 20 57
20 - 25 9 66
  N = 66  

Since, N=66, then N2=33

and cumulative frequency greater than or equal to 33 lies in class 10 – 15
So, median class is 10 – 15

∴ Lower limit of median class is 10

and highest frequency is 20 lie in class 15 – 20
So, modal class is 15 – 20.

∴ Lower limit of modal class is 15.

Hence, sum of lower limits of the median and modal class is 10 + 15 = 25.