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Question

The median for the following data is _____.

Class interval0−1010−2020−3030−40Frequency7151612


A
22.5
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B
21.875
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C
25
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D
20
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Solution

The correct option is B 21.875

Class IntervalFrequencyCumulative Frequency01077102015222030163830401250

In the above distribution the total number of observations is 50. Hence, n = 50.

n2=25.

The cumulative frequency that is greater than 25 but closest to 25 is 38. The class corresponding to this frequency is 20 - 30.
This is the median class.

Using Median = l+(n2cff)×h
Where l is lower class limit of median class.
n is total number of observations.
cf is the cumulative frequency of the class preceding the median class.
f is the frequency of the median class and h is the class size.
Median=20+252216×10=21.875


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