Standard Deviation and Variance Calculator

Calculate the standard deviation and variance of a data set, for a population (σ) and for a sample (s), with the deviations table.

One value per line, or values separated by spaces, semicolons or commas followed by a space. Both the decimal point and the decimal comma are accepted.

Entire population (divisor n)

Standard deviation σ
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Variance σ²
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Use when the data contains every value under study: a whole class, every part in a batch.

Sample (divisor n − 1)

Standard deviation s
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Variance s²
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Use when the data is an extract from a larger population whose spread you want to estimate.

Count (n)
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Mean x̄
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Sum of squared deviations
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Coefficient of variation
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Deviations from the mean table

xx − x̄(x − x̄)²

Calculation details