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Question
The below table shows that profit made by a group of shops in mall. Then the median is _____.
Profit per shop less than (%)102030405060No. of shops1230577794100
Options:
A .  27.4
B .  31.2
C .  26.8
D .  23.7
Answer: Option A
:
A
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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