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Question 10
The distribution of heights (in cm) of 96 children is given below.
Height(in cm)Number of children124128 5128132 8132136 17136140 24140144 16144148 12148152 6152156 4156160 3160164 1
Draw a less than type cumulative frequency curve for this data and use it to compute median height of the children.

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Solution

Height(in cm)Number of childrenLess than 124 0Less than 128 5Less than 132 13Less than 136 30Less than 140 54Less than 144 70Less than 148 82Less than 152 88Less than 156 92Less than 160 95Less than 164 96
To draw the less than type ogive, we plot the points (124, 0), (128, 5), (132, 13), (136, 30), (140, 54), (144, 70), (148, 82), (152, 88), (156, 92), (160,95), (164, 96) and join all these point by free hand.



Here, N2=962=48
We take, y=48 in y-coordinate and draw a line parallel to X-axis, meets the curve at A and draw a perpendicular line from point A to the X-axis and this line meets the X-axis at the point which is the median i.e. median=141.17.


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