Question

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

Answer 1

Find the value of $x$

Total number of observations $=6$

$\mathrm{Mean}=\frac{\mathrm{Sum}\mathrm{of}\mathrm{observation}}{\mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{observation}}$

$$\begin{gathered} \Rightarrow 5=\frac{8+4+x+6+2+7}{6} \\ \Rightarrow 30=27+x \\ \Rightarrow x=3 \end{gathered}$$

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