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I'm trying to understand the difference sample variance and population variance and how former converges to latter after increasing sample size. I found this that visually show this. I'm unable to understand how did the variance and mean for the population was calculated.

I'm unable to calculate it because I think there would be infinitely many element in that range(0-200).

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It is an example of discrete uniform distribution. So formula for mean and variance given a and b is:

Mean = ${\frac{a+b}{2}}$

Variance = ${\frac {(b-a+1)^{2}-1}{12}}$.

substituting a = 0, b = 200. we get mean = 100 and variance = 3366.66.

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