Statistical Dispersion
Standard Deviation Calculator
Measure data volatility, dispersion thresholds, and deviation variances instantly.
Understanding Statistical Volatility
The Standard Deviation quantifies the degree of dispersion or spread of an empirical dataset relative to its arithmetic mean. A low standard deviation implies data points sit closely packed near the average, while a high metric highlights extensive variation and wide range spans.
s = √[ ∑(xi - x̄)2 / (N - 1) ]
Currently configured for Sample Mode (Bessel's Correction applied).
Dataset Parameters
Dispersion Analysis Output
Standard Deviation (s)
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Variance (s²)
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Arithmetic Mean (x̄)
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| Value (xi) | Deviation from Mean (xi - x̄) | Squared Deviation (xi - x̄)2 |
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