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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

Answers (1)

Answer.   [B]
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

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