Decile Formula for Grouped Data

Decil

Decile Formula for Grouped Data

Information :

Be = Bottom of Edge

F_i = Sum frequency before ith percentile data

f_i = frequency of the ith percentile data

c = Class Length

D_i = 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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