For the following distribution:

Class 10 - 15 15 - 20 20 - 25 25 - 30 30 - 35

Frequency 34 23 12 45 28

The sum of upper limits of the median class and modal class is:

Question

Question

Answer 1

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:

Here, N = 142

∴ N/2 = 71, which lies in the class interval 25 - 30.

So, the upper limit of the median class is 30.

Here, the highest frequency is 45, which lies in the class interval 25 - 30.

So, the upper limit of the modal class is 30.

So, the required sum is 30 + 30 = 60.

Hence, the sum of the upper limits of the median class and modal class is 60.