Less than type Cumulative frequency table for grouped data Example-1

1. Calculate Less than type Cumulative frequency table from the following grouped data
Class Frequency
10 - 20 15
20 - 30 25
30 - 40 20
40 - 50 12
50 - 60 8
60 - 70 5
70 - 80 3

Solution:

Class	Frequency
10 - 20	15
20 - 30	25
30 - 40	20
40 - 50	12
50 - 60	8
60 - 70	5
70 - 80	3

Less than cumulative frequency can be obtained by adding to the other frequencies.

Class	Frequency	Less than type	Cumulative Frequency
10 - 20	15	Less than 20	15
20 - 30	25	Less than 30	40 (= 15 + 25)
30 - 40	20	Less than 40	60 (= 40 + 20)
40 - 50	12	Less than 50	72 (= 60 + 12)
50 - 60	8	Less than 60	80 (= 72 + 8)
60 - 70	5	Less than 70	85 (= 80 + 5)
70 - 80	3	Less than 80	88 (= 85 + 3)

This material is intended as a summary. Use your textbook for detail explanation.
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1. Example-1