Question:
Find the median of the data:
12, 17, 3, 14, 5, 8, 7, 15
Solution:
Numbers are 12, 17, 3, 14, 5, 8, 7, 15
Arranging the numbers in ascending order
3, 5, 7, 8, 12, 14, 15, 17
n = 8 (even)
$\therefore$ Median $=\frac{\frac{\bar{n}^{\text {th }}}{2} \text { value }+\left(\frac{n}{2}+1\right)^{\text {th }} \text { value }}{2}$
$=\frac{\frac{8}{2}^{\text {th }} \text { value }+\left(\frac{8}{2}+1\right)^{\text {th }} \text { value }}{2}$
$=\frac{4^{\text {th }} \text { value }+5^{\text {th }} \text { value }}{2}$
$=\frac{8+12}{2}$
$=\frac{20}{2}=10$