Question

Weight (in Kg) of the students of a class is represented in a grouped frequency distribution table.

Weight (Kg)	Frequency (No. of students)
30 - 40	20
40 - 50	5
50 - 60	16
60 - 70	22
70 - 80	19
80 - 90	13
90 - 100	10

What is the greater than type cumulative frequency of group having 16 frequency ?

• A. 85
• B. 80
• C. 41
• D. 25

Answer 1

The correct option is B 80

The progressive sum of the frequencies from the last class to the lower boundary of the particular data class is the greater than cumulative frequency.

For example :-

Weight (Kg)	Frequency (No. of students)	Cumulative Frequency
30 - 40	20	85 + 20 = 105
40 - 50	5	80 + 5 = 85
50 - 60	16	64 + 16 = 80
60 - 70	22	42+22 = 64
70 - 80	19	23+19 = 42
80 - 90	13	10+13 = 23
90 - 100	10	10+0 = 10

The progressive sum of the frequencies from the last class 90-100 to lower boundary 50 of the particular data (frequency = 16) class 50-60 is 80.