Question:
Find the median of the data:
31, 38, 27, 28, 36, 25, 35, 40
Solution:
Numbers are 31, 38, 27, 28, 36, 25, 35, 40
Arranging the numbers in ascending order
25, 27, 28, 31, 35, 36, 38, 40
n = 8 (even)
$\therefore$ Median $=\frac{\overline{2}^{\text {th }} \text { value }+\left(\frac{\mathrm{n}}{2}+1\right)^{\text {th }} \text { value }}{2}$
$=\frac{\frac{8}{2}^{\text {th }} \text { value }+\left(\frac{8}{2}+1\right)^{\text {th }} \text { value }}{2}$
$=\frac{4^{\text {th }} \text { value }+5^{\text {th }} \text { value }}{2}$
$=\frac{31+35}{2}$
$=\frac{66}{2}=33$