# Professor Puzzler's Statistics Calculator

Provide a data set below, and find out all you need to know!Variance Detailed analysisAverageMedianModeRangeOutliersStandard deviationHarmonic meanGeometric meanQuartilesIQR# Variance

*Please enter data above to calculate variance.*

## Explanation

Variance, like standard deviation is a measure of how tightly grouped the data is around the mean, or average. A small variance means that the data is tightly grouped, while I high variance indicates that the data is more widely spread. A variance of zero indicates that all the data points in the set are identical.Variance is calcuated as follows. First, the average is calculated, and then each point's distance from the mean is calculated. These values are all squared and the squares are averaged.

The variance units are the square of the units being compared. For example, if you are measuring time elapsed in seconds, the variance will have units s

^{2}.

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