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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?


Sagot :

Answer:

The new value for the population mean is 13.

Step-by-step 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:

[tex]M = \frac{s}{n}[/tex]

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

We find s.

[tex]M = \frac{s}{n}[/tex]

[tex]11 = \frac{s}{8}[/tex]

[tex]s = 11*8 = 88[/tex]

16 points are added to one of the scores

This means that [tex]s = 88 + 16 = 104[/tex]

What is the new value for the population mean?

[tex]M = \frac{104}{8} = 13[/tex]

The new value for the population mean is 13.