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For the following distribution:
1. 30
2. 15
3. 35
4. 25

1 Answer

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Best answer
Correct Answer - Option 4 : 25

Concept:

  • The cumulative frequency is calculated by adding each frequency from a frequency distribution table to the sum of its predecessors.
  • To find out the median class you have to find the value of N/2 and then find out the interval in which it lies, where N is the final cumulative frequency.
  • The modal class is the group with the highest frequency. 

 

Calculation:

Class Frequency Cumulative Frequency
0-5 10 10
5-10 15 25
10-15 12 37
15-20 20 57
20-25 9 66

 

Here, N = 66

N/2 = 33, which lies in the class interval 10-15.

So, the lower limit of the median class is 10.

Here, the highest frequency is 20, which lies in the class interval 15-20.

So, the lower limit of the modal class is 15.

So, the required sum is 10 + 15 = 25.

Hence, the sum of lower limits of the median class and modal class is 25.

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