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Question

The weights (in kg) of 15 students are:31,35,27,29,32,43,37,41,34,28,36,44,45,42,30. Find the median.

If 44 kg is replaced by 46 kg and 27 kg by 25 kg, then the new median is:


A

32

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B

35

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C

36

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D

42

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Solution

The correct option is B

35


Weights of 15 students are 31,35,27,29,32,43,37,41,34,28,36,44,45,42,30

Writing in ascending order, we get 27,28,29,30,31,32,34,35,36,37,41,42,43,44,45

Here n=15 which is odd.

Median=n+12th term=15+12=162th term=8th term=35 kg

By replacing 44 kg by 46 kg and 27 kg by 25 kg we get

25,28,29,30,31,32,34,35,36,37,41,42,43,45,46

Median=8th term=35 kg


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