Question

The mean of $18,28,x,32,14,$ and $36$ is $23$. Find the value of $x$

Answer 1

Find the value of $x$

Number of data values $=6$

$\text{Mean}=\frac{\text{Sum of all data values or observations}}{\text{Number of data values or observations}}$

$\Rightarrow 23=\frac{18+28+x+32+14+36}{6}$

$\Rightarrow 23=\frac{128+x}{6}$

$\Rightarrow (23\times 6)=128+x$

$\Rightarrow 138=128+x$

$\Rightarrow x=10$

Hence, the value of $x$ is $10$.