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What is the difference between the sample average y and the population​ mean?

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When a finite number of samples are drawn from a larger population, the sample mean of that sample, while usually close to the population mean, is not the same thing. A population mean, on the other hand, is a description of pretty much ALL of whatever is being examined.

Example of population: Everyone in the USA
Example of a sample: One person, chosen at random, from each of the 50 states


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