Question

In a class test, if the marks scored by 11 students are 13, 17, 20, 5, 3, 19, 7, 6, 11, 15 and 17. Then, match the following:
$\begin{array}{cccc}& ListI& & ListII\\ A.& Median& i& 17\\ B.& Lowerquartile& ii.& 11\\ C.& Upperquartile& iii.& 6\\ D.& Interquartilerange& iv.& 13\end{array}$

• A. A-i, B-ii, C-iii, D-iv
• B. A-iv, B-iii, C-ii, D-i
• C. A-ii, B-iv, C-iii, D-i
• D. A-iv, B-iii, C-i, D-ii

Answer 1

The correct option is D

A-iv, B-iii, C-i, D-ii

Arrange the marks in ascending order
3, 5, 6, 7, 11, 13, 15, 17, 17, 19, 20
Here, number of observations (n) =11
(A) $Median=\left(\frac{n+1}{2}\right)thobservation={\left(\frac{11+1}{2}\right)}^{th}=6thobservation=13$
(B) $Lowerquartile\left(Q_1\right)={\left(\frac{n+1}{4}\right)}^{th}observation={\left(\frac{11+1}{4}\right)}^{th}observation=3rdobservation=6$
(C) $Upperquartile\left(Q_3\right)=3{\left(\frac{n+1}{4}\right)}^{th}observation=3{\left(\frac{11+1}{4}\right)}^{th}observation=9^{th}observation=17$
(D) $Interquartilerange=Q_3-Q_1=17-6=11$