Question

The following distribution shows the marks distribution of 80 students.

Marks	Below 10	Below 20	Below 30	Below 40	Below 50	Below 60
No. of students	2	12	28	56	76	80

The median class is ________.

Options

• 20 - 30

• 40 - 50

• 30 - 40

• 10 - 20

Answer 1

The median class is 30 - 40.

Explanation:

Marks	No. of students	Class interval	Frequency
Below 10	2	0 − 10	2
Below 20	12	10 − 20	12 − 2 = 10
Below 30	28	20 − 30	28 − 12 = 16
Below 40	56	30 − 40	56 − 28 = 28
Below 50	76	40 − 50	76 − 56 = 20
Below 60	80	50 − 60	80 − 76 = 4
			f = 80

Here, f = 80

= `80/2`

= 40

Hence, the value lies in the class interval 30–40 from the cumulative frequency table.