learn.howToCalculate

learn.whatIsHeading

Variance measures how spread out data values are from their mean. Standard deviation is the square root of variance and is in the same units as the original data.

공식

Population variance: σ² = Σ(xᵢ − μ)² / N

N: N value — Variable used in the calculation

단계별 가이드

1Population variance: σ² = Σ(xᵢ − μ)² / N
2Sample variance: s² = Σ(xᵢ − x̄)² / (n−1)
3Use n−1 (Bessel's correction) for sample data
4Standard deviation σ = √variance

풀어진 예시

입력

Dataset: 2, 4, 4, 4, 5, 5, 7, 9 (n=8)

결과

Mean = 5; Variance = 4; SD = 2

자주 묻는 질문

What is Variance?

Variance measures how spread out data values are from their mean. Standard deviation is the square root of variance and is in the same units as the original data

How accurate is the Variance calculator?

The calculator uses the standard published formula for variance. Results are accurate to the precision of the inputs you provide. For financial, medical, or legal decisions, always verify with a qualified professional.

What units does the Variance calculator use?

This calculator works with inches. You can enter values in the units shown — the calculator handles all conversions internally.

What formula does the Variance calculator use?

The core formula is: Population variance: σ² = Σ(xᵢ − μ)² / N. Each step in the calculation is shown so you can verify the result manually.

계산할 준비가 되셨나요? 무료 Variance 계산기를 사용해 보세요

직접 시도해 보세요 →