Question

The following are the marks scored by the students in the Summative Assessment exam

Class	0 − 10	10 − 20	20 − 30	30 − 40	40 − 50	50 − 60
No. of Students	2	7	15	10	11	5

Calculate the median.

Answer 1

Class Interval	No. of students frequency	Cumulative frequency
0 − 10	2	2
10 − 20	7	9
20 − 30	15	24
30 − 40	10	34
40 − 50	11	45
50 − 60	5	50
	N = 50

`"N"/2 = 50/2`

= 25

Here l = 30, f = 10, m = 24 and c = 10

Median = `"l" + (("N"/2 - "m") xx "c")/f`

= `30 + ((25 - 24)10)/10`

= 30 + 1

= 31

∴ Median = 31