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Question

Marks of students are given the cumulative frequency distribution table given below.

Marks Greater than cumulative frequency
(No. of students)
1-10 42
11-20 36
20-30 23
30-40 14
40-50 6

What is the frequency of the 3rd group ?

A
13
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B
9
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C
23
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D
3
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Solution

The correct option is B 9
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.
Marks Greater than cumulative frequency
(No. of students)
Frequency
1-10 42 42-36=6
11-20 36 36-23=13
20-30 23 23-14=9
30-40 14 14-6=8
40-50 6 6-0 = 6

Frequency for the 3rd group is 9 with cumulative frequency 23.

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