In statistics the law of large numbers states that as sample size increases the accuracy of population estimates increases. This is true for all distributions.

Example:

Suppose we had a bag of 100 marbles and wanted to know how many marbles were solid red.

We could start by drawing 10 marbles from the bag and finding that 2 are red. Thus we estimate that 20% are red.

Then we draw 50 marbles and find that 9 are red, thus we now estimate that 18% are red.

Finally, we draw all 100 marbles (census) and find that there are 17 red marbles. Or that 17% of the marbles are red.

In either case, as we drew more and more marbles our estimate got better and better. This is the law of large numbers.

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