Math & Algebra Calculators

Standard Deviation Calculator

Calculate mean, variance, and standard deviation from a numeric data set using population or sample assumptions.

Standard Deviation Calculator — Online Calculator

Standard Deviation Calculator

Sample Standard Deviation (σ / s)
5.2372
Calculated across 8 data points
Variance (s²)
27.4286
Mean (μ / x̄)
18
Sum of Numbers (Σx)
144
Count (n)
8
Min — Max
10 — 23
Range
13
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The Standard Deviation Calculator calculates mean, variance, and standard deviation for a numeric data set.

Population variance divides squared deviations by N; sample variance divides by N - 1 when estimating from a sample.

Limitations

Standard deviation describes spread but does not prove normality, remove outliers, or determine whether data collection is representative.

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