Prepare the grouped frequency distribution table from the cumulative frequency distribution table given below. Draw the frequency polygon.

Mark Cumulative Frequency

Less than 5
Less than 15
Less than 25
Less than 35
Less than 45
Less than 55
Less than 65
Less than 75 0
3
5
15
44
70
91
106

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Solution

Marks Cumulative Frequency Class Frequency

Less than 5 0 5 $-$ 5 0

Less than 15 3 5 $-$ 15 3

Less than 25 5 15 $-$ 25 2

Less than 35 15 25 $-$ 35 10

Less than 45 44 35 $-$ 45 29

Less than 55 70 45 $-$ 55 26

Less than 65 91 55 $-$ 65 21

Less than 75 106 65 $-$ 75 15

The frequency polygon is given below:

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Similar questions

Marks	Less than 10	Less than 20	Less than 30	Less than 40	Less than 50
Number of students	3	11	28	48	70

Convert the following 'less than' cumulative frequency series into 'more than' cumulative frequency series:

$\begin{matrix} Marks less than & 5 & 10 & 15 & 20 Cumulative Frequency & 12 & 25 & 35 & 55 \end{matrix}$

Marks Obtained	Less than 5	Less than 10	Less than 15	Less than 20	Less than 25
No. of Students (Cumulative)	4	6	10	13	17

Marks	Number of students
Marks less than 10 Marks less than 20 Marks less than 30 Marks less than 40 Marks less than 50	3 11 28 48 70

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Mark	Cumulative Frequency
Less than 5 Less than 15 Less than 25 Less than 35 Less than 45 Less than 55 Less than 65 Less than 75	0 3 5 15 44 70 91 106