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Question

For the following distribution:
Class 0-5 5-10 10-15 15-20 20-25
Frequency 10 15 12 20 9

The sum of the lower limits of the median class and the modal class is
(a) 15
(b) 25
(c) 30
(d) 35

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Solution

(b) 25

Class

Frequency

Cumulative frequency

0-5

10

10

5-10

15

25

10-15

12

37

15-20

20

57

20-25

9

63

Now, N=63
N2=32.5
The cumulative frequency just greater than 32.5 is 37 and the corresponding class is 10-15.
Median class=10-15
Here, the highest frequency is 20 and its corresponding class is 15-20.
Modal Class=15-20
Sum of the lower limits of the median class and modal class = 10 + 15 = 25


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