Free Variance Calculator

Calculate the variance of three values. Variance measures how far each number in the set is from the mean and from every other number.

Variance Pop

2.666667

Variance Sample4.000000
Std Dev1.632993
Mean6.0000

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.

Example Calculation

Find the variance of 4, 8, and 6.

  1. 01Mean = (4 + 8 + 6) / 3 = 6
  2. 02Squared differences: (4-6)² = 4, (8-6)² = 4, (6-6)² = 0
  3. 03Variance (population) = (4 + 4 + 0) / 3 = 2.6667
  4. 04Variance (sample) = (4 + 4 + 0) / 2 = 4

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