Percentile Formula For Grouped Data

Percentile Formula for Grouped Data


Information :
Be = Bottom of Edge
Fi = Sum frequency before ith percentile data

fi = Frequency of the ith percentile data

c = Class Length
Pi = Percentile ith
i = 1,2, ... ,99

Example :
Please determine the 50th percentile of the data in the table below !

Answer :
n = 8 + 10 + 13 + 17 + 14 + 11 + 7 = 80
the location of the 5th percentile = Location data : (5(80 + 1)/100)
the location of the 5th percentile = Location data : (5(81)/100)
the location of the 5th percentile = Location data : (50(81)/100)
the location of the 5th percentile = Location data : (405/100)
the location of the 5th percentile = Location data : 40,5
So the frequency of 5th percentile = 17
f50 = 17
Be = 45 - 0,5 = 44.5
F50 = 8 + 10 + 13 = 31
c = 35 - 30 = 5


So the 50th percentile of the data is 47.15.

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Reference :
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