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Variance Calculator

Population and sample variance, with matching standard deviations.

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Results

How to use Variance Calculator

  1. Enter numbers. Leave a field blank only when the page says the value is missing, not by typing 0 unless 0 is a real value.
  2. Read the result rows under the form. Errors appear in the status line. Nothing is uploaded.
  3. Rounding follows IEEE floating point in this browser unless the page says it uses integers or BigInt.

Variance Calculator

Population variance

ComputesPopulation and sample variance, with matching standard deviations.
IncludesPopulation variance
IncludesSample variance
Enginestats
UploadNone
AdviceArithmetic only

What Variance Calculator is

Same engine as standard deviation. Variance is in squared units. SD is in the original units.

The formula runs in this tab. CZNull does not receive the numbers.

How this page computes

σ² = Σ(x − μ)² / n. s² uses n − 1. See standard deviation.

Entities and related jobs

Population and sample variance, with matching standard deviations. Named features: Population variance, Sample variance.

See also Standard Deviation Calculator, Average Calculator, Z-Score Calculator, Median and Mode.

Use cases

When a method asks for variance rather than SD, such as ANOVA inputs you are preparing by hand.

Limits

Invalid input appears in the status line. IEEE floating point applies unless a row says otherwise. CZNull does not receive the numbers.

Variance Calculator questions

Does this page upload my numbers?
No. The formula runs in the page you opened. CZNull does not receive the values.
What does Variance Calculator compute?
Same engine as standard deviation.
Why is this its own URL?
Search queries name this job. Nearby modes stay on their own pages so inputs do not mix. Related calculators are linked below Variance Calculator.
How is variance related to SD?
SD is the square root of variance.
Can variance be negative?
No.
Can I treat the result as official?
No. Rounding and real-world rules can differ. Use the page to check the arithmetic.