Math CalculatorsActive Calculation Engine
Standard Deviation Calculator
Calculate the standard deviation, variance, mean, and count of a sample or population.
Sample Standard Deviation
s = √[ Σ(x - x̄)² / (N - 1) ]
Calculates the standard deviation for a sample frame. Mathematical estimation uses Bessel's mathematical correction by dividing the sum of squared discrepancies by (N - 1) strictly to amend estimation-bias against standard population variance.
Example: Data: 1, 2, 3. Mean=2. Sq Diff: 1, 0, 1. Sum=2. Variance=2/2=1. SD=√1 = 1