Question

Calculate median and upper quartile for the following data :

22, 27, 15, 25, 30, 18, 27, 20, 21, 35, 23

Answer 1

$\begin{array}{ccccccccccccc}\text{X}& 15& 18& 20& 21& 22& 23& 25& 27& 27& 30& 35& N=11\end{array}$

M $={\left(\frac{N+1}{2}\right)}^{th}\text{item}={\left(\frac{11+1}{2}\right)}^{th}=6^{th}\text{item}=23$

$Q_3=\frac{3}{4}(N+1{)}^{th}\text{item}=\frac{3}{4}(11+1{)}^{th}=9^{th}\text{item}=27$