Question:
Find the median of the data:
25, 34, 31, 23, 22, 26, 35, 29, 20, 32
Solution:
Numbers are 25, 34, 31, 23, 22, 26, 35, 29, 20, 32
Arranging the numbers in ascending order
20, 22, 23, 25, 26, 29, 31, 32, 34, 35
n = 10 (even)
$\therefore$ Median $=\frac{\frac{\mathrm{n}^{\mathrm{th}}}{2} \text { value }+\left(\frac{\mathrm{n}}{2}+1\right)^{\text {th }} \text { value }}{2}$
$=\frac{\frac{10^{\text {th }}}{2} \text { value }+\left(\frac{10}{2}+1\right)^{\text {th }} \text { value }}{2}$
$=\frac{5^{\text {th }} \text { value }+6^{\text {th }} \text { value }}{2}$
$=\frac{26+29}{2}$
$=\frac{55}{2}=27.5$