Answer
Value of $\color{red}{x=4}$
Work Step by Step
$$\text{Solution}$$
$\text{Given Information:}$
Data Set $\rightarrow (2, 8, 9, 7, 6, \color{red}x)$
Mean = 6
Total Number of Items in Data Set $n= 6$
To Find:
Value of $\color{red}x$
Mean = $\bar{x} =\frac {\text {Sum of All Values}}{\text{Total Number of Values}}$
$6 =\frac {2+8+9+7+6+x}{6}$
$6\times6 =32+x$
$x=36-32$
$x=4$
Answer: Value of $\color{red}{x=4}$
