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Question

Prepare a less than ogive from the following data:
Class : 0-6 6-12 12-18 18-24 24-30 30-36
Frequency : 4 8 15 20 12 6

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Solution

In order to prepare a less than ogive, we first need to calculate the less than cumulative frequency distribution as follows:
Class Cumulative Frequency
Less than 6
Less than 12
Less than 18
Less than 24
Less than 30
Less than 36
4
4 + 8 = 12
12 + 15 = 27
27 + 20 = 47
47 + 12 = 59
59 + 6 = 65

We now plot the cumulative frequencies against the upper limit of the class intervals. The curve obtained on joining the points so plotted is known as the less than ogive.

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