Calculate population or sample standard deviation, variance, mean, standard error, confidence intervals, and a frequency table for any data set.
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Calculate the standard deviation, variance, and mean of any dataset instantly with our free standard deviation calculator, useful for statistics coursework, research, and data analysis.
Standard deviation measures how spread out data points are from the mean. Formula: σ = √(Σ(x − mean)² ÷ N) for population standard deviation, or dividing by (N−1) for sample standard deviation.
Population standard deviation is used when your data represents an entire population; sample standard deviation (dividing by N−1) is used when your data is a sample meant to estimate a larger population's spread.
A high standard deviation indicates data points are spread widely from the mean; a low standard deviation means data points cluster closely around the mean.
Variance is the average of squared deviations from the mean; standard deviation is the square root of variance, expressed in the same units as the original data.
Yes, you can enter as many data points as needed; just ensure they're properly separated for accurate parsing.