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Question

The following table gives the heights (in metres) of 360 trees:
Height Number of trees
Less than 7 m
Less than 14 m
Less than 21 m
Less than 28 m
Less than 35 m
Less than 42 m
Less than 49 m
Less than 56 m
25
45
95
140
235
275
320
360

From the above data, draw an ogive and find the median.

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Solution

We plot the points A(7,25), B(14,45), C(21,95), D(28,140), E(35,235), F(42,275), G(49,320) and H(56,360) .Join AB, BC, CD, DE, EF, FG, GH and HA with a free hand to get the curve representing the 'less than type' series.


Here, N=360N/2=180From P(0,180), draw PQ ∥x-axis meeting the curve at Q.Draw QM⊥OX meeting the x-axis at M.Clearly, OM= 32.5 mHence, median=32.5 m

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