Question

Find the mean and median of all the positive factors of $72$

Answer 1

Factors of $72=1,2,3,4,6,8,9,12,18,24,36,72$

$\Rightarrow$ Mean of factors of $72=\frac{1+2+3+4+6+8+9+12+18+24+36+72}{12}$

$=\frac{195}{12}=16.25$

$\Rightarrow$ Median of factors of $72=\frac{1}{2}\times (\frac{n}{2}th+(\frac{n}{2}+1\left)th\right)$

$=\frac{1}{2}(6th+7th$ term$)$

$=8.5$