Question

If the arithmetic mean of $8,4,6,x,2,7$ is $5$, then find the value of $x$.

Answer 1

We know that,

Arithmetic Mean $=\frac{\text{Sum of all observations}}{\text{Total no. of observations}}$

$\Rightarrow 5=\frac{8+4+6+x+2+7}{6}$

$\Rightarrow 5\times 6=27+x$

$\Rightarrow x=30-27$

$\therefore x=3$

Hence, value of $x$ is $3$.