Decile Formula For Grouped Data

Decil

Decile 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

Di = decile ith

i = 1,2, ... ,9

Example :
Please determine the 5th decile from the data below !

Answer :
n = 8 + 10 + 13 + 17 + 14 + 11 + 7 = 80
the location of the 5th decile = Location data : (5(80 + 1)/10)
the location of the 5th decile = Location data : (5(81)/10)
the location of the 5th decile = Location data : (5(81)/10)
the location of the 5th decile = Location data : (405/10)
the location of the 5th decile = Location data : 40,5
So the frequency of 5th decile = 17
f5 = 17
Be = 45 - 0,5 = 44.5
F5 = 8 + 10 + 13 = 31
c = 35 - 30 = 5


So the 5th decil from the above table is 47.15.

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Reference :
  • Google

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