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
Height (in cm) Less than 140 Less than 145 Less than 150Less than 155Less than 160Less than 165No. of girls41129404651
Answer: Option A
:
A
The given table can be written as:
Height(in cm)Lessthan140Lessthan 145Less than 150Lessthan155Lessthan 160Less than 165No. of girls41129404651
Height(in cm)Less than 140140−145145−150150−155155−160160−165Cumulative 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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:
A
The given table can be written as:
Height(in cm)Lessthan140Lessthan 145Less than 150Lessthan155Lessthan 160Less than 165No. of girls41129404651
Height(in cm)Less than 140140−145145−150150−155155−160160−165Cumulative 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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