Math
Standard Deviation Calculator
Calculate sample or population standard deviation and variance.
Standard Deviation Calculator result
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Population standard deviation2Population variance4Sample standard deviation2.1380899353Sample variance4.57142857143Mean5Sum of squared deviations32Count8
Population variance divides Σ(x − mean)² by N. Sample variance divides it by N − 1. Use population for the entire group and sample when the entries represent part of a larger group.
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How this tool works
Population variance divides squared differences by the number of values; sample variance divides by one fewer value.
Limits to know
Every token must be numeric before results are shown. Population variance divides by N; sample variance divides by N − 1 and therefore requires at least two values.