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Find coefficient of percentile deviation {{10,3},{11,12},{12,18},{13,12},{14,3}} [ Calculator, Method and examples ]

Solution:
Your problem `->` coefficient of percentile deviation {{10,3},{11,12},{12,18},{13,12},{14,3}}


Percentile deviation :
`x`Frequency
`f`
`cf`
1033
111215
121833
131245
14348
---------
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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