Examples of Quartile Deviation in Discrete Series

Example 1:

From the following table, calculate the interquartile range, quartile deviation, and coefficient of quartile deviation.

Solution:

Q₁ = 155 centimeters

Q₃ = 163 centimeters

Interquartile Range = Q₃ – Q₁ = 163 – 155 = 8

Quartile Deviation = 

Coefficient of Quartile Deviation = \frac{Q_3-Q_1}{Q_3+Q_1}=\frac{163-155}{163+155}=0.025

Example 2:

Calculate the interquartile range, quartile deviation, and coefficient of quartile deviation from the following data.

Solution:

Q₁ = 4

Q₃ = 12

Interquartile Range = Q₃ – Q₁ = 12 – 4 = 8

Quartile Deviation = 

Coefficient of Quartile Deviation = 

Example 3:

Calculate the interquartile range, quartile deviation, and coefficient of quartile deviation from the following data.

Solution:

Q₁ = 47 Kilograms

Q₃ = 53 Kilograms

Interquartile Range = Q₃ – Q₁ = 53 – 47 = 6

Quartile Deviation = 

Coefficient of Quartile Deviation = 

Example 4:

Calculate the interquartile range, quartile deviation, and coefficient of quartile deviation from the following data.

Solution:

Q₁ = 40 Years

Q₃ = 60 Years

Interquartile Range = Q₃ – Q₁ = 60 – 40 = 20

Quartile Deviation = 

Coefficient of Quartile Deviation =