Question

If the median of the scores $\frac{x}{3},\frac{x}{2},\frac{x}{4},\frac{2x}{9},x\left(x>0\right)$ is 3, then find 'x'.

Answer 1

Arranging the given observations in ascending order,

$\Rightarrow$ $\frac{2x}{9},\frac{x}{4},\frac{x}{3},\frac{x}{2},x$

$\Rightarrow$ Here, number of observation $=5$

$Median={\left(\frac{5+1}{2}\right)}^{th}observation$

$=3^{rd}observation$

$\therefore$ $Median=\frac{x}{3}$

$\therefore$ $3=\frac{x}{3}$

$\therefore$ $x=9$