Calculate inter quartile range, quartile deviation and the coefficient of quartile deviation from the following data:

Explanation

`Q_(1)`=Size of `((N+1)/(4))`th item
=Size of `((87+1)/(4))`th item
=Size of 22nd item =33
`Q_(3)`=Size of `3((N+1)/(4))`th item
=Size of `3((87+1)/(4))`th item
=Size of 66th item=39
Inter Quartile Range `=Q_(3)-Q_(1)=39-33=6`
Quartile Deviation `=(Q_(3)-Q_(1))/(2)=(39-33)/(2)=(6)/(2)=3`
Coefficient of Quartile Deviation `=(Q_(3)-Q_(1))/(Q_(3)+Q_(1))=(39-33)/(39+33)=(6)/(72)`
=0.083