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Find coefficient of decile deviation {1,2,3,2,3,6} [ Calculator, Method and examples ]

Solution:
Your problem `->` coefficient of decile deviation {1,2,3,2,3,6}


Decile deviation :
Arranging Observations in the ascending order, We get :
`1, 2, 2, 3, 3, 6`

Here, `n = 6`

`D_1 = ((n+1)/10)^(th)` value of the observation

`=(7/10)^(th)` value of the observation

`=(0.7)^(th)` value of the observation

`=0^(th)` observation ` + 0.7 [1^(st) - 0^(th)]`

`=0 + 0.7 [1 - 0]`

`=0 + 0.7 (1)`

`=0 + 0.7`

`=0.7`



`D_9 = ((9(n+1))/10)^(th)` value of the observation

`=((9*7)/10)^(th)` value of the observation

`=(6.3)^(th)` value of the observation

`=6^(th)` observation ` + 0.3 [7^(th) - 6^(th)]`

`=6 + 0.3 [0 - 6]`

`=6 + 0.3 (-6)`

`=6 + -1.8`

`=4.2`



Inter Decile range `=D_9 - D_1=4.2-0.7=3.5`

Decile deviation `=(D_9 - D_1)/2=(4.2-0.7)/2=3.5/2=1.75`

Coefficient of Decile deviation `=(D_9 - D_1)/(D_9 + D_1)=(4.2-0.7)/(4.2+0.7)=3.5/4.9=0.7143`








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