Question:
Find the median of the data:
92, 35, 67, 85, 72, 81, 56, 51, 42, 69
Solution:
Numbers are 92, 35, 67, 85, 72, 81, 56, 51, 42, 69
Arranging the numbers in ascending order
35, 42, 51, 56, 67, 69, 72, 81, 85, 92
n = 10(even)
$\therefore$ Median $=\frac{\frac{\mathrm{n}^{\text {th }}}{2} \text { value }+\left(\frac{\mathrm{n}}{2}+1\right)^{\text {th }} \text { value }}{2}$
$=\frac{\frac{10^{\text {th }}}{2} \text { value }+\left(\frac{10}{2}+1\right)^{\text {th }} \text { value }}{2}$
$=\frac{5^{\text {th }} \text { value }+6^{\text {th }} \text { value }}{2}$
$=\frac{67+69}{2}$
$=\frac{136}{2}=68$