Population Standard Deviation Calculator
Population SD = √(Σ(x − mean)² ÷ N)
Calculate population standard deviation for three values.
Formula
Population SD = √(Σ(x − mean)² ÷ N)
Worked example
Value 1: 2
Value 2: 4
Value 3: 6
With these inputs, the result is **1.63299316 **.
How to use this calculator
- Identify the quantity you want to calculate.
- Enter your measurements in the units shown on each field.
- Read the result, which updates as you change the inputs.
- Check the assumptions below before applying the result.
Assumptions and limits
Uses N = 3, not the N − 1 denominator for a sample standard deviation.
Precision and checking
Results are rounded for display. Use the most accurate measurements available, and avoid rounding your inputs unnecessarily. Extra decimal places in a result do not make an estimate more reliable.
To check a result, substitute the same input values into the formula shown above. Change one value at a time to understand how the quantity responds.
Frequently asked questions
What assumptions does this calculation use?
Uses N = 3, not the N − 1 denominator for a sample standard deviation.
Are my inputs sent to a server?
No. The calculation runs locally in your browser. The result updates as you edit the inputs.
