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Free standard deviation calculator for descriptive statistics. Enter raw values to compute mean, variance, and standard deviation using sample or population formulas.
Last updated: April 20, 2026
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Mean
18.0000
Variance
27.4286
Standard deviation
5.2372
Count
8
Min
10.0000
Max
23.0000
Interpretation
Sample standard deviation is 5.2372 using n - 1 in the denominator.
Formula tip:
Standard deviation is the square root of variance and indicates how spread out values are around the mean.
Core relation
SD = √Variance
Options
n - 1 or n
Output scope
Full spread snapshot
Data: 10, 12, 23, 23, 16, 23, 21, 16
Mean
18.00
Standard deviation
5.24
The calculator computes dataset mean, then measures squared deviations from the mean to obtain variance. Standard deviation is the square root of variance and provides spread in original units.
Variance = Σ(x - x̄)² / n (population)Variance = Σ(x - x̄)² / (n - 1) (sample)SD = √VarianceUse sample mode when analyzing a subset that represents a larger population.
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Suggested hashtags: #StandardDeviation #Statistics #DataAnalysis #Education #Variance