The mean of $6,8,x+2,10,2x-1$ and $2$ is $9$. Find the value of $x$

The correct option is B: $9$

Mean $=\frac{\text{Sum of Observation}}{\text{Number of observations}}$

$\Rightarrow \frac{6+8+(x+2)+10+(2x-1)+2}{6}=9$

$\Rightarrow 3x+27=9\times 6$

$\Rightarrow 3x=54-27$

$\Rightarrow x=\frac{27}{3}$
$\therefore x=9$