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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 Frequencyf cf 10 3 3 11 12 15 12 18 33 13 12 45 14 3 48 --- --- --- 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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