Given:
Given the numbers 16, 7, 5, 12, 7, x.
Mean = 9
Required: Value of x
Explanation:
The mean of n numbers a1, a2, a3, ..., an is defined as
[tex]\bar{x}=\frac{\sum_{i=1}^na_i}{n}[/tex]Here, the mean of the given numbers is
[tex]\begin{gathered} 9=\frac{16+7+5+12+7+x}{6} \\ 16+7+5+12+7+x=9\cdot6 \\ 47+x=54 \\ x=54-47 \\ =7 \end{gathered}[/tex]Final Answer: The value of x is 7.