📊 Statistics Tool

Population Standard Deviation Calculator

Enter your dataset (comma, space, or line separated) and get the population standard deviation (σ), variance, mean, count, min, max, and a full step-by-step table.

σ = √[Σ(x − μ)² / N] Denominator = N Population data only

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Population dataset

Separate values with commas, spaces, or line breaks

Try:

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Results

Population Standard Deviation (σ)

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Population mean (μ)

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Variance (σ²)

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Count (N)

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Range

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Minimum

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Maximum

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Population formula: σ = √[Σ(x − μ)² / N]

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Step-by-step calculation table

Value → Deviation (x − μ) → Squared deviation (x − μ)²

#	Value (x)	Deviation (x − μ)	Squared deviation (x − μ)²
Totals		—	—

Population Standard Deviation Calculator

Population dataset

Results

Distribution visualization

Step-by-step calculation table

Frequently Asked Questions