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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.

सूत्र

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

N: N value — Variable used in the calculation

चरण-दर-चरण मार्गदर्शिका

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

हल किए गए उदाहरण

इनपुट

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

परिणाम

Mean = 5; Variance = 4; SD = 2

अक्सर पूछे जाने वाले प्रश्न

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.

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