Question

The mean number of six numbers is 9. The numbers are 16, 7, 5, 12, 7, and x. Find the value of x

Answer 1

Given:

Given the numbers 16, 7, 5, 12, 7, x.

Mean = 9

Required: Value of x

Step-by-step explanation:

The mean of n numbers a1, a2, a3, ..., an is defined as

`\bar{x}=(\sum_(i=1)^na_i)/(n)`

Here, the mean of the given numbers is

`\begin{gathered} 9=(16+7+5+12+7+x)/(6) \\ 16+7+5+12+7+x=9\cdot6 \\ 47+x=54 \\ x=54-47 \\ =7 \end{gathered}`

Final Answer: The value of x is 7.