Question

For the given set of numbers, the lower quartile, the upper quartile and inter quartile range is
2, 4, 13, 14, 19, 20, 27

• A. 13, 20, 7
• B. 4, 20, 16
• C. 2, 27, 25
• D. 4, 27, 25

Answer 1

The correct option is B 4, 20, 16

The given sequence is already arranged in increasing magnitude
No of terms n = 7, which is an odd number
$\therefore$ Lower quartile $\left(Q_1\right)=\frac{(n+1{)}^{th}}{4}=\frac{7+1}{4}\text{term}=2^{nd}\text{term}=4$
Upper quartile $\left(Q_3\right)=\frac{3(n+1)}{4}{)}^{th}\text{term}=6^{th}\text{term}=20$
Inter quartile Range = $Q_3-Q_1=20-4=16$