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#### 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(A) 15              (B) 25              (C) 30              (D) 35

Solution.   Frequency distribution: It tells how frequencies are distributed over values in a frequency distribution. However mostly we use frequency distribution to summarize categorical variables.

 Class Frequency Cumulative Frequency (C.F) 0-5 10 10 5-10 15 (10+15=25) 10-15 12 (25+12=37) 15-20 20 (37+20=57) 20-25 9 (57+9=66) N=66

$\frac{N}{2}=\frac{66}{2}=33$ which ies in the class 10-15.

Hence the median class is 10 – 15
The class with maximum frequency is modal class which is 15 – 20
The lower limit of median class = 10
The lower limit of modal class = 15
Sum = 10 + 15 = 25