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Q.

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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a

15

b

25

c

30

d

35 

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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