Standard Deviation Calculator
Calculate standard deviation, variance, mean, and data dispersion with our comprehensive statistics calculator. Determine how spread out your data values are from the mean.
Step 1: Data Input
Understanding Standard Deviation
Standard deviation measures the dispersion of a dataset relative to its mean. A low standard deviation means data points are close to the mean, while a high standard deviation indicates data points are spread out over a wider range.
Step 2: Calculation & Options
About Standard Deviation Types
Use Sample Standard Deviation when your data is a sample of a larger population. Use Population Standard Deviation when your data represents the entire population. The sample formula uses (n-1) in the denominator for unbiased estimation.
Standard Deviation Results
Standard Deviation
Standard Deviation Calculation Steps
Formula
Sample Standard Deviation: s = √[Σ(x – x̄)² / (n – 1)]
Data Analysis Table
| # | Value (x) | Deviation (x – x̄) | Squared Deviation (x – x̄)² |
|---|
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