Kostenloser Varianzrechner
Berechne die Varianz einer Zahlenreihe. Die Varianz misst die mittlere quadratische Abweichung vom Mittelwert.
Variance Pop
2.666667
Variance Sample4.000000
Std Abw1.632993
Mittelwert6.0000
Formel
## How to Calculate Variance ### Formula (Population Variance) **σ² = Σ(xᵢ - μ)² / N** ### Steps 1. Find the mean (μ) 2. Subtract the mean from each value 3. Square each difference 4. Find the average of the squared differences Variance is the square of the standard deviation.
Lösungsbeispiel
Find the variance of 4, 8, and 6.
- 01Mean = (4 + 8 + 6) / 3 = 6
- 02Squared differences: (4-6)² = 4, (8-6)² = 4, (6-6)² = 0
- 03Variance (population) = (4 + 4 + 0) / 3 = 2.6667
- 04Variance (sample) = (4 + 4 + 0) / 2 = 4
Häufig Gestellte Fragen
What is variance?
Variance measures how far a set of numbers is spread out from their average value. It is the average of the squared differences from the mean.
Why do we square the differences?
Squaring removes negative signs (so deviations above and below the mean don't cancel out) and gives more weight to larger deviations.
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