Question

Calculate median from the data given below: $10,17,16,21,13,18,12,10$ .

Answer 1

Given the data is: $10,17,16,21,13,18,12,10$

Arranging the given data in ascending order

$10,10,12,13,16,17,18,21$

Number of observations $=8$

Therefore,

Median $=$ Mean of ($\frac{8}{2}\mathrm{th}$ value and $\left(\frac{8}{2}+1\right)\mathrm{th}$

$=$ Mean of $4\mathrm{th}$ and $5\mathrm{th}$ value

$=$ Mean of $13$ and $16$

$$\begin{gathered} =\frac{\left(13+16\right)}{2} \\ =\frac{29}{2} \\ =14.5 \end{gathered}$$

= 29/2

= 14.5

Hence, the required value is $14.5$