Question

Find the median of the data :

$20,17,48,25,29,18,35,27,42,30$

Answer 1

Step-1: Arrange the data in ascending order:

$\Rightarrow 17,18,20,25,27,29,30,35,42,48$

Step-2: Calculate the average of ${\left(\frac{n}{2}\right)}^{th}$ and ${\left(\frac{n}{2}+1\right)}^{th}$ observation to calculate median:

$$\begin{gathered} \Rightarrow {\left(\frac{10}{2}\right)}^{th}\&{\left(\frac{10}{2}+1\right)}^{th} \\ \Rightarrow 5^{th}\&6^{th}observation \\ =\frac{27+29}{2} \\ =\frac{56}{2}=28 \end{gathered}$$

Hence, median = $28$.