Question:
Find the median of the data:
133, 73, 89, 108, 94, 104, 94, 85, 100, 120
Solution:
Numbers are 133, 73, 89, 108, 94, 104, 94, 85, 100, 120
Arranging the numbers in ascending order
73, 85, 89, 94, 94, 100, 104, 108, 120, 133
n = 10 (even)
$\therefore$ Median $=\frac{\frac{\mathrm{n}}{2} \text { th value }+\left(\frac{\mathrm{n}}{2}+1\right) \text { th value }}{2}$
$=\frac{\frac{10^{\text {th }}}{2} \text { value }+\left(\frac{10}{2}+1\right)^{\text {th }} \text { value }}{2}$
$=\frac{5^{\text {th }} \text { value }+6^{\text {th }} \text { value }}{2}$
$=\frac{94+100}{2}$
$=\frac{194}{2}=97$