๐
Standard Deviation Calculator
Calculate population and sample standard deviation, variance, and mean.
How to Use the Standard Deviation Calculator
- Enter your data set as comma or space separated numbers.
- Select Sample or Population depending on your data.
- Click Calculate to see standard deviation, variance, and mean.
Formula & Method
Population SD: ฯ = โ(ฮฃ(xแตข - ฮผ)ยฒ / N)
Sample SD: s = โ(ฮฃ(xแตข - ฮผ)ยฒ / (N - 1))
Where ฮผ is the mean and N is the number of data points.
Examples
| Data | Sample SD | Population SD |
|---|---|---|
| 2, 4, 4, 4, 5, 5, 7, 9 | 2.138 | 2.000 |
Frequently Asked Questions
What is standard deviation?
It measures the amount of variation or dispersion in a data set.
When should I use sample vs population?
Use sample when your data is a subset of a larger population.
What is a good standard deviation?
It depends on context; lower SD means data points are closer to the mean.
People Also Ask
How accurate is this calculator?
Our calculators use standard mathematical formulas and provide accurate results.
Can I use this on my phone?
Yes, all tools are fully responsive and work on any device.