Question

The inter quartile range of the observations $3,5,9,11,13,18,23,25,32$ and $39$ is

• A. $24$
• B. $16$
• C. $31$
• D. $8$

Answer 1

Answer: (B)

$16$

Arranging the observations in ascending order we get $3,5,9,11,13,18,23,25,32,39$

Median $=Q2=\frac{13+18}{2}=15.5$

The median of the numbers to the left of $Q2=Q1=9$

The median of the numbers to the right of $Q2=Q3=25$
Inter quartile range $=Q3-Q1=25-9=16$