Question

Given below is a cumulative frequency distribution table:

Mark	Below 10	Below 20	Below 30	Below 40	Below 50	Below 60
Number of students	17	22	29	37	50	60

Extract a frequency table from the above.

Answer 1

Given: Marks (less than / below) : Below 10 = 17, Below 20 = 22, Below 30 = 29, Below 40 = 37, Below 50 = 50, Below 60 = 60.

Step-wise calculation:

Frequency of 0 – 10

= Cumulative below 10

= 17

Frequency of 10 – 20 

= (Below 20) – (Below 10)

= 22 – 17

= 5

Frequency of 20 – 30 

= (Below 30) – (Below 20)

= 29 – 22

= 7

Frequency of 30 – 40 

= (Below 40) – (Below 30)

= 37 – 29

= 8

Frequency of 40 – 50 

= (Below 50) – (Below 40)

= 50 – 37

= 13

Frequency of 50 – 60 

= (Below 60) – (Below 50)

= 60 – 50

= 10

Frequency table:

Marks	No. of students
0 – 10	17
10 – 20	5
20 – 30	7
30 – 40	8
40 – 50	13
50 – 60	10
Total	60