I have a homework in which I am using data from NFL teams. This information was taken from the ESPN site and I was asked to calculate the following: $mean$, $standard$ $deviation$ and $standard$ $error$ of certain data. I know that there are 32 teams so I am taking data $(32$ $numbers)$ which I suppose represent the entire population and not a sample. This means that I have 32 "numbers" to take into account in order to make the calculations.
The mean is easy to get because I only add the 32 $numbers$ and divide the total by 32.
Standard deviation can be calculated for the population and for a sample as follows:
$\sigma = \sqrt{\frac{\sum_1^N(x_i - \mu)^2}{N}}$
$s = \sqrt{\frac{\sum_1^n(x_i - \bar{x})^2}{n - 1}}$
I am also asked to calculate $standard$ $error$ which I understand is the standard deviation of the sampling distribution.
I am not sure how to proceed.
Which formula should I use to calculate standard deviation, population or sample? I am actually using the population mean formula because I think I have all the data and not a sample.
How will I calculate standard error?
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. $\endgroup$ – karakfa Jan 25 '16 at 19:47