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Construct less than ogive for the above data.

Solution:

Here, the given data is in inclusive form. We, first, convert it into exclusive (continuous)
form.

Heights in Number of
(cm) plants
0.5 - 5.5 3
5.5 - 10.5 5

10.5 - 15.5 9
15.5 - 20.5 31
20.5 - 25.5 38

25.5 - 30.5 14

For such an ogive, we prepare the cumulative frequency distribution table for the above
data as under:

Heights in (cm) Cumulative frequency
Less than 0.5 0
Less than 5.5 3

Less than 10.5 8
Less than 15.5 17
Less than 20.5 48

Less than 25.5 86
Less than 30.5 100
Thus, plotting the points (0.5, 0), (5.5, 3), (10.5, 8), (15.5, 17), (20.5 , 48), (25.5 ,86),
(30.5, 100) and joining these points by a free hand curve, we get the less than ogive

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