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Q.

The following data give the distribution of heights of students:

Height (in cm) 160150152161156154155
Number of students12844337

The median of the distribution is

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a

154

b

155

c

160

d

161

answer is B.

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Detailed Solution

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Arranging the data in ascending order of magnitude, we obtain

Height (in cm) 150152154155156160161
Number of Students84373124
Cumulative frequency8121522253741

Here, the total number of items is 41, i.e., an odd number.
Hence, the median is 41+12 th i.e., 21st item.
From cumulative frequency table, we find that the median, i.e. 21st item is 155.
(All items from 16th to 22nd are equal, each 155). 

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