Question

Question #da231

Answer 1

`x=65`

Explanation:

The mean of a data set is the average of all of its elements.

`"mean" = "sum of all elements" / "number of elements"`

For instance, the mean of `10` and `20` would be `(10+20)/2 = 15`.

Similarly, the mean of `70, 62, 67,` and `x` is

`(70+62+67+x)/4`

We are told the mean is equal to `66`, so set the entire expression above equal to `66`. Now, solve for `x`.

`66 = (70+62+67+x)/4`

`66 * 4= 70+62+67+x`

`264 = 199 + x`

`x = 65`