Question

Find the median of the data :

$1,7,7,4,9,6,4,5,6,4$

Answer 1

Step 1 : Arrange the data in ascending order .

$1,4,4,4,5,6,6,7,7,9$

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

$$\begin{gathered} \Rightarrow \frac{10}{2}\&(\frac{10}{2}+1) \\ \Rightarrow 5th\&6thobservation \\ \Rightarrow \frac{5+6}{2} \\ \Rightarrow \frac{11}{2}\Rightarrow 5.5 \end{gathered}$$

Hence, the median of the given data is $5.5$.