Question

In a class test, 50 students obtained marks as follows:

Marks obtained	0 – 20	20 – 40	40 – 60	60 – 80	80 – 100
Number of Students	4	6	25	10	5

Find the modal class and the median class.

Answer 1

Here the maximum class frequency is 25, and the class corresponding to this frequency is 40-60. 

So, the modal class is 40-60. 

Now, to find the median class let us put the data in the table given below:

Now, = 50 ⇒ \( \frac{N}2\) = 25. 

The cumulative frequency just greater than 25 is 35, and the corresponding class is 40-60. Thus, the median class is 40-60.