Question

Find the inter-quartile range for the following data:

3,11,32,8,14,1,10,27,22,4,30

• A. 24
• B. 4
• C. 23
• D. 27

Answer 1

The correct option is C

23

We first arrange the terms of the given data in ascending order as follows:

1,3,4,8,10,11,14,22,27,30,32
No of terms n = 11, which is an odd number.
$\therefore$ Lower quartile $\left(Q_1\right)=\frac{(n+1{)}^{th}}{4}=term=\frac{11+1}{4}=3^{rd}term=4$
Upper quartile $\left(Q_3\right)=\frac{3(n+1)}{4}{)}^{th}term=9^{th}term=27$
Inter quartile = $Q_3-Q_1=27-4=23$