Standard Deviation Calculator - σ & s
Calculate standard deviation and variance for sample or population data. Measure data spread and variability with detailed statistics.
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Calculate Standard Deviation
Sample: Use when data is a subset. Population: Use when you have all data.
📊 About Standard Deviation
• Definition: Measures the spread or dispersion of data points from the mean
• Sample (s): Use when data is a sample from a larger population (divides by n-1)
• Population (σ): Use when you have data for the entire population (divides by n)
• Low σ: Data points are close to the mean (less variation)
• High σ: Data points are spread out (more variation)
• Uses: Quality control, risk assessment, data analysis
How to Use Standard Deviation Calculator
- 1
Choose between sample (s) or population (σ) standard deviation.
- 2
Enter your numbers separated by commas, spaces, or new lines.
- 3
Click "Calculate" to compute standard deviation and variance.
- 4
View detailed results including mean, sum, and variance.
Frequently Asked Questions
What is standard deviation?▾
Standard deviation measures how spread out numbers are from their mean. A low standard deviation means data points are close to the mean, while a high standard deviation means they are spread out.
Sample vs population standard deviation?▾
Use sample (s) when your data is a subset of a larger population (divides by n-1). Use population (σ) when you have data for the entire population (divides by n).
What is variance?▾
Variance is the square of standard deviation. It represents the average squared deviation from the mean.
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