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Definitions of Standard Deviation

I'm looking for a good definition of standard deviation and a full explanation of the concept, with a good example. Thanks!

Solution Summary

This solution gives the definitions for variance and standard deviation. The solution also gives the formulas for population standard deviation (marked with Greek letter sigma) and sample standard deviation (marked with s). In addition, included is a detailed example of how to calculate the mean and the sample standard deviation, using the formulas.

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