Standard Deviation

Calculates standard deviation as the square root of data variance.

Population standard deviation

2,00

Population σ: divisor n (not sample n−1).

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Formula

population σ = √(Σ(x − μ)² / n) — divisor n (not sample n−1)

Example: For 2, 4, 4, 4, 5, 5, 7, 9, population σ ≈ 2.0

Methodology

Population σ = √(Σ(x−μ)² / n) - divisor n, not sample n−1.

Example

2, 4, 6: mean 4 → σ = √((4+0+4)/3) ≈ 1.63.

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