Math Calculators
Standard Deviation Calculator
Calculate population or sample standard deviation, variance and mean.
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Standard deviation
1.70782512766
Variance
2.91666666667
Mean
5.5
About the Standard Deviation Calculator
Standard deviation measures how spread out values are around their mean. A small value means the data points are clustered closely, while a larger value indicates more variation.
Choose population when your data includes every member of the group you want to describe. Choose sample when the values are a subset used to estimate a larger population.
The calculator reports standard deviation, variance and mean together so you can interpret both the original-unit spread and its squared variance.
Key features
- Population and sample modes
- Standard deviation and variance
- Mean shown for context
- Flexible list input
How to use
- 1Enter values separated by commas, spaces or new lines.
- 2Choose Population or Sample.
- 3Read the standard deviation, variance and mean.
Frequently asked questions
- What is the difference between sample and population standard deviation?
- Population deviation divides by the number of values. Sample deviation divides by one less, correcting the estimate when data is only a sample.
- Can standard deviation be negative?
- No. Standard deviation is the square root of variance, so it is always zero or positive.
- What does a standard deviation of zero mean?
- It means every value in the data set is identical, so there is no spread around the mean.