The standard deviation,as a measure of variation (dispersion),can be understood by examining two statements that tell us how the standard deviation relates to the data: the Empirical Rule and Chebyshev's Theorem.

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The Empirical Rule and Chebyshev's Theorem are two ways to understand how standard deviation relates to data as a measure of dispersion.

The Standard Deviation,as a Measure of Variation (Dispersion),can Be Understood