Convert the following cumulative frequency series into simple frequency series

Marks No. of Students

Less than 20 10

Less than 40 18

Less than 60 25

Less than 80 45

Less than 100 55

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Solution

The 'less than' cumulative frequency distribution can be presented in the form of a 'simple frequency distribution' as follows.

Class-Interval Frequency

0 - 20
20 - 40
40 - 60
60 - 80
80 - 100 10
18 − 10 = 8
25 − 18 = 7
45 − 25 = 20
55 − 45 = 10

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Q. Calculate the median from the following data:

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Less than 10	5
Less than 20	20
Less than 30	45
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Q. 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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Class-Interval	Frequency
0 - 20 20 - 40 40 - 60 60 - 80 80 - 100	10 18 − 10 = 8 25 − 18 = 7 45 − 25 = 20 55 − 45 = 10

Convert the following cumulative frequency series into simple frequency series Marks No. of Students Less than 20 10 Less than 40 18 Less than 60 25 Less than 80 45 Less than 100 55

The 'less than' cumulative frequency distribution can be presented in the form of a 'simple frequency distribution' as follows. Class-Interval Frequency 0 - 20 20 - 40 40 - 60 60 - 80 80 - 100 10 18 − 10 = 8 25 − 18 = 7 45 − 25 = 20 55 − 45 = 10

Convert the following cumulative frequency series into simple frequency series

Marks No. of Students

Less than 20 10

Less than 40 18

Less than 60 25

Less than 80 45

Less than 100 55

The 'less than' cumulative frequency distribution can be presented in the form of a 'simple frequency distribution' as follows.

Class-Interval Frequency

0 - 20
20 - 40
40 - 60
60 - 80
80 - 100 10
18 − 10 = 8
25 − 18 = 7
45 − 25 = 20
55 − 45 = 10