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Problem: percentile deviation {{10,3},{11,12},{12,18},{13,12},{14,3}} [ Calculator, Method and examples ]

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Your problem -> percentile deviation {{10,3},{11,12},{12,18},{13,12},{14,3}}

Percentile deviation :
 x Frequencyf cf 10 3 3 11 12 15 12 18 33 13 12 45 14 3 48 --- --- --- n = 48 --

Here, n = 48

P_10 = ((10(n+1))/100)^(th) value of the observation

=((10*49)/100)^(th) value of the observation

=(4.9)^(th) value of the observation

=11

P_90 = ((90(n+1))/100)^(th) value of the observation

=((90*49)/100)^(th) value of the observation

=(44.1)^(th) value of the observation

=13

Percentile deviation =(P_90 - P_10)/2=(13-11)/2=2/2=1

Coefficient of Percentile deviation =(P_90 - P_10)/(P_90 + P_10)=(13-11)/(13+11)=2/24=0.0833

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