How to Calculate Variance and Standard Deviation?

Find the mean of the data set

Subtract the mean from each value

Square each difference

Add all the squared differences

Divide by the number of values for population variance

Divide by the number of values minus 1 for sample variance

Take the square root of the variance to get the standard deviation

Use the population formula: σ² = Σ(x – μ)² / N

Use the sample formula: s² = Σ(x – xÌ„)² / (n – 1)

Use the population standard deviation formula: σ = √[Σ(x – μ)² / N]

Use the sample standard deviation formula: s = √[Σ(x – xÌ„)² / (n – 1)]

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