Question

The average age of a football player in a league is 27.

The age of 12 football players in the league are

25, 23, 26, 29, 37, 23, 32, 29, 25, 22, 31, and 34.



What's the sample mean and population mean?

Answer 1

The population mean was given and is 27 years.

The sample mean is the arithmetic mean of the 12 ages given above.  Add them up and divide the sum by 12 to get the sample mean.

Answer 2

The Sample mean and population mean of the players in the league are respectively; 28 and 27

How to find sample mean and population mean?

We are given the age of 12 players in the league as;

25, 23, 26, 29, 37, 23, 32, 29, 25, 22, 31, and 34.

Now, formula for sample mean is;

x' = ∑x/n

where n is sample size and in this case = 12

Thus;

x' = (25 + 23 + 26 + 29 + 37 + 23 + 32 + 29 + 25 + 22 + 31 + 34)/12

x' = 336/12

x' = 28

Thus, the sample mean is 28 while the population mean is already given as 27.

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