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Question

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

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 less than type cumulative frequency of group having frequency equals to 13?

A
13
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B
85
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C
95
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D
105
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Solution

The correct option is C 95
The progressive sum of the frequencies from the first class to the upper boundary of the particular data class is the less than cumulative frequency.

For example :-
Weight
(Kg)
Frequency
(No. of students)
Cumulative Frequency
30 - 40 20 20+0 = 20
40 - 50 5 20+5 =25
50 - 60 16 25+16 = 41
60 - 70 22 41+22 = 63
70 - 80 19 63+19 = 82
80 - 90 13 82+13 = 95
90 - 100 10 95+10 = 105


The progressive sum of the frequencies from the first class 30-40 to upper boundary 80 of the particular data class 80-90 is 95.

Hence, 95 is the less than cumulative frequency of group having frequency equals to 13.

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