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Consider the following distribution:

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

The sum of the lower limits of the median class and the modal class is

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answer is B.

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Detailed Solution

The given frequency distribution table is:

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

The maximum frequency is 20 and the modal class is 15 -20 with 15 being the lower limit.
The cumulative frequency table will be:

Class	Frequency	Cumulative frequency
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

Here,

N = 66

and

N 2 = 33

.
We can see that the cumulative frequency just greater than 33 is

37.

Therefore, the median class is

10 − 15

and the lower limit is

10.

Hence, the sum of the lower limits of the median class and the modal class is

10 + 15 = 25

Therefore, the required sum is 25.
Thus, the correct option is 2.

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