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Standard Deviation Calculator

Summarize a numeric data set with mean, population standard deviation, and sample standard deviation.

Inputs

Adjust your data

Live
Key resultReference
4.4272 population SD

Instant result based on your current inputs.

Interpretation

Use population SD for a complete population and sample SD when the observations are a sample used to estimate a population.

FormulaPopulation SD = √[Σ(x − mean)² ÷ n]; sample SD uses n − 1.

*Results are estimates only and do not constitute professional advice.

CALCULATION DETAILS

Inputs, method, and scope

Keep a record of the assumptions behind the result and compare nearby scenarios before making a decision.

Number list12, 15, 18, 20, 25

Method used

Population SD = √[Σ(x − mean)² ÷ n]; sample SD uses n − 1.

Scope and limitations

This result reflects only the values and assumptions shown above. It does not automatically include taxes, fees, market changes, local rules, or personal circumstances unless those inputs are explicitly present.

Worked example

These are demonstration assumptions, not market data or a recommendation. Use Reset example above to reproduce this result, then replace the values for your own scenario.

Number list
12, 15, 18, 20, 25

Example result: 4.427189 population SD

The example is fixed while your live result above changes. Differences in display rounding do not change the underlying calculation.

How to use

Use real data and compare scenarios

01

Replace examples

Replace the examples with your real values. Results update instantly as inputs change.

02

Test boundaries

Try conservative, baseline, and optimistic inputs to see whether the conclusion holds.

03

Review assumptions

Review the formula and limitations, then verify important decisions with authoritative sources.

FAQ

About this calculation

How does the standard deviation calculator work?

Population SD = √[Σ(x − mean)² ÷ n]; sample SD uses n − 1.

What should I verify before using the result?

Use population SD for a complete population and sample SD when the observations are a sample used to estimate a population.

Does CalcMintly store my inputs?

No. This calculation runs locally in your browser and the values you enter are not sent to a CalcMintly database.