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Question

The median class for the following data is ____.

Height (in cm)Less than 140Less than 145Less 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
140-145
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Solution

The correct option is A 145-150

The given table can be re-written as follows and the cumulative frequency is given in the table.


Height (in cm)Less than 140140145145150150155155160160165No. of girls41129404651

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.

If we take the 26th observation into consideration, we find it in the class range 145 - 150

Thus, the class interval 145-150 is the required answer.


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