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During the medical check-up of 35 students of a class, their weights were recorded as follows

Using a less than type ogive for the above data, obtain the median weight from the graph.

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40.5

42.5

44.5

46.5

answer is D.

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Detailed Solution

Given table is,
Question Image

Here, the sum of all frequencies N is 35.
Therefore,

N 2 = 352 ⇒ N 2 = 17.5

According to the given data, plot points

(38, 0), (40, 3), (42, 5), (44, 9), (46, 14), (48, 28), (50, 32), (52, 35)

on the graph paper.
The obtained graph will be,
Question Image

Therefore,
Median Weight = 46.5 kgs, because the x-coordinate corresponding to half of N is 46.5.
Hence, option 4 is correct.

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