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Question

The following table shows the profit made by a group of shops in a mall. The median of the data is _____.

Profit per shop less than (%)102030405060No. of shops1230577794100


A
27.4
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B
31.2
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C
26.8
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D
23.7
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Solution

The correct option is A 27.4

Firstly, the cumulative frequency (CF) table is drawn.

C.ICFFrequency01012121020301820305727304077204050941750601006Total100

n2=1002=50

C.F nearest to 50 and greater than 50 is 57.

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+(503027)×10

Median = 27.4


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