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Question

The median class for the given data is

Height (in cm) Less than 140 Less than 145 Less than 150Less than 155Less than 160Less than 165No. of girls41129404651


A

145-150

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B

150-155

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C

155-160

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D

160-165

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Solution

The correct option is A

145-150


The given table can be written as:
Height (in cm) Less than 140 Less than 145 Less than 150Less than 155Less than 160Less than 165No. of girls41129404651

Height (in cm) Less than 140140145145150150155155160160165Cumulative Frequency41129404651

n = 51

n2=512
= 25.5

Since there are a total of 51 observations, the median class is the one whose cumulative frequency is closest to and greater than 25.5. The cumulative frequency for the class '145 - 150' is 29 which is greater than 25.5. The median class is '140 - 145'. Thus, the class interval '145 - 150' is the required answer.


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