Question

A set of N= 8 scores has a mean of u = 11. If 16 points are added to one of the scores,

what is the new value for the population mean?

Answer 1

The new value for the population mean is 13.

Explanation:

Mean:

The mean of a data-set is given by the sum of the values of all observations divided by the number of values, that is:

`M = (s)/(n)`

A set of N= 8 scores has a mean of u = 11.

We find s.

`M = (s)/(n)`

`11 = (s)/(8)`

`s = 11*8 = 88`

16 points are added to one of the scores

This means that
`s = 88 + 16 = 104`

What is the new value for the population mean?

`M = (104)/(8) = 13`

The new value for the population mean is 13.