Question:
Find the median of the data:
83, 37, 70, 29, 45, 63, 41, 70, 34, 54
Solution:
Numbers are 83, 37, 70, 29, 45, 63, 41, 70, 34, 54
Arranging the numbers in ascending order
29, 34, 37, 41, 45, 54, 63, 70, 70, 83
n = 10 (even)
$\therefore$ Median $=\frac{\frac{\mathrm{n}}{2} \text { th value }+\left(\frac{\mathrm{n}}{2}+1\right) \text { th value }}{2}$
$=\frac{\frac{10}{2} \text { th value }+\left(\frac{10}{2}+1\right) \text { th value }}{2}$
$=\frac{5^{\text {th }} \text { value }+6^{\text {th }} \text { value }}{2}$
$=\frac{45+54}{2}$
$=\frac{99}{2}=49.5$