Question

If the median of `x/5,x/4,x/2,x and x/3`, where x > 0, is 8, find the value of x.
Hint Arranging the observations in ascending order, we have `x/5,x/4,x/3,x/2,x Median= x/3=8.`

Answer 1

Arranging the observations in ascending order, we have
`x/5,x/4,x/3,x/2,x`
𝑇ℎ𝑢𝑠,𝑡ℎ𝑒 𝑚𝑒𝑑𝑖𝑎𝑛 𝑖𝑠`x/3`
⟹`x/3=8`
⟹ 𝑥=3×8
⟹ 𝑥=24
Thus, the value of x is 24.