Standard deviation calculator
Calculates the population and standard deviation of numerical data.
Input
The example value has been entered. Check it immediately or change the value.
Input is processed in the browser. Refreshing returns a sample value.
Result
Check or change the value using the example value result.
Supports up to 5,000 numbers. A sample standard deviation requires at least two data points.
Share result
Share the tool link and result text together. No URL is included in the result. Check the below content and then share it.
Calculation·conversion criteria
Compare spread of numeric data and sample/population standard deviation.
Input example
Standard deviation of 2, 4, 4, 4, 5, 5, 7, 9 = 2
Mean of 2, 4, 6 is 4, and variance is 8. Population variance is 8÷3, population standard deviation is approximately 1.633, and sample standard deviation is √(8÷2)=2.
How to use
- Use the entered example value or change the number list item.
- Click Verify result and check the following result.
- Result can be copied if needed.
Frequently Asked Questions
Which standard deviation should be used between the sample standard deviation and the population standard deviation?
If all interested subjects are included, consider the population value; if estimating a larger population with a sample, consider the sample value. The sample is divided by n−1, so at least two data points are required.
Calculation criteria and reference materials
The calculation formula and scope of this tool are disclosed in the above description. Examples can be checked by substituting input values into the formula or following the specified string and calendar handling rules.
Verification of calculation criteria: · Calculation·verification principles · Report errors