Statistical

VAR.P Formula

VAR.P calculates the variance of an entire population, dividing by n instead of n-1. Use it when your data includes every member of the group being studied. The result is always slightly smaller than the sample variance (VAR.S) for the same data.

Syntax

VAR.P(value1, [value2, ...])
ParameterDescription
value1 Parameter of the VAR.P function.
[value2 (Optional.) Parameter of the VAR.P function.
...] Parameter of the VAR.P function.
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Examples

Population variance of a class

Formula
=VAR.P(B2:B31)
Returns the exact variance when B2:B31 contains every student's grade in the class.

Batch variance

Formula
=VAR.P(C2:C1000)
Calculates the variance of all 999 measurements in a complete production batch.

Low variance check

Formula
=VAR.P(D2:D50) < 0.01
Returns TRUE if the population variance is below a threshold, indicating very consistent values.

Common Errors

#DIV/0!

No numeric values in the range.

#VALUE!

Non-numeric direct arguments.

Tips

Population vs. sample

VAR.P divides by n; VAR.S divides by n-1. Use VAR.P only when you have complete population data.

Relationship to STDEV.P

VAR.P = STDEV.P^2. The variance is the standard deviation squared.

Sum of squared deviations

VAR.P(data) * COUNT(data) equals DEVSQ(data). This relationship is useful in regression and ANOVA calculations.

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