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Calculating Standard Deviation by Jonathan Osters

Calculating Standard Deviation by Jonathan Osters

Author: Sophia Tutorial
Description:

Calculate the standard deviation of a given data set using the standard deviation formula or Excel.

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Terms to Know
Standard Deviation

A typical amount by which we would expect a data point to differ from the mean. Typically, about half to two-thirds of the data points fall within one standard deviation of the mean.

Variance

The square of standard deviation. While it has some uses in statistics, it is not a practical unit of measurement. It is calculated the same way as standard deviation, but without the square root.

Formulas to Know
Standard Deviation

sigma equals square root of fraction numerator 1 over denominator n minus 1 end fraction sum from i equals 1 to n of open parentheses x subscript i minus mu close parentheses squared end root

Variance

sigma squared equals fraction numerator 1 over denominator n minus 1 end fraction sum from i equals 1 to n of open parentheses x subscript i minus mu close parentheses squared