Question

In the arithmetic mean of $4,6,3,5,x$ and $2$ is $4$, then $x$ is:

• A. $4$
• B. $2$
• C. $3$
• D. $6$

Answer 1

The correct option is A $4$

Given, the elements are $4,6,3,5,x,2$ and its mean is $4$.

We know, Mean is given by,

$\text{Mean}=\frac{\text{Sum of the elements}}{\text{Total number of elements}}$ $⟹\overline{X}=\frac{\sum X}{N}$.
$\Rightarrow$ $\frac{4+6+3+5+x+2}{6}=4$
$\Rightarrow$ $\frac{20+x}{6}=4$
$\Rightarrow 20+x=4\times 6$
$\Rightarrow$ $20+x=24$
$\Rightarrow$ $x=24-20$
$\Rightarrow$ $x=4$.

Hence, option $A$ is correct.