the measured resistance of a sample 10 resistors from a box of 900 is as below. All values are in Ohms.
82.5, 82.45, 82.11, 81.56, 81.91, 82.31, 81.5, 82.08, 82.33, 82.7.
the two questions are : find the sample standard deviation and population standard deviation.
no distribution was specified so I take it, I should consider them uniformly distributed.
in this case the sample mean is the full sum divided by 10 which gives : 82.145
for the sample standard deviation we use the formula SD = $\sqrt{\frac{\sum(x-\overline{x})^{2}}{n-1}}$
here n = 10. and $\overline{x} = 82.145$
now what I'd like to know is what about the population standard deviation, is it possible to actually compute it just with the given data ? is there a formula ?
to me it feels like as if it's impossible because we'd need all values of all 900 resistors to get a correct answer but maybe I'm missing something.
Thanks for any clarification