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Find quartile deviation {{10,3},{11,12},{12,18},{13,12},{14,3}}

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


`x`Frequency
`f`
`cf`
1033
111215
121833
131245
14348
---------
n = 48--


Here, `n = 48`

`Q_1 = ((n+1)/4)^(th)` value of the observation

`=(49/4)^(th)` value of the observation

`=(12.25)^(th)` value of the observation

`=11`



`Q_3 = ((3(n+1))/4)^(th)` value of the observation

`=((3*49)/4)^(th)` value of the observation

`=(36.75)^(th)` value of the observation

`=13`



Quartile deviation `=(Q_3 - Q_1)/2=(13-11)/2=2/2=1`

Coefficient of Quartile deviation `=(Q_3 - Q_1)/(Q_3 + Q_1)=(13-11)/(13+11)=2/24=0.0833`






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