The Sample Variance: Why Divide by n-1? @jbstatistics
The Sample Variance: Why Divide by n-1?  @jbstatistics
Uploaded January 2014 | Updated September 2026, 2 hours ago
An informal discussion of why we divide by n-1 in the sample variance formula. I give some motivation for why we should divide by something less than n, and (casually) discuss the concept of degrees of freedom (in the context of the sample variance). I have another video with a mathematical proof that dividing by n-1 results in an unbiased estimator of the population variance, available at youtu.be/D1hgiAla3KI.
The Sample Variance: Why Divide by n-1?Hypothesis Tests on One Mean:  A t Test ExampleBasics of Probability: Unions, Intersections, and ComplementsThe Hypergeometric Distribution: An Introduction (fast version)Calculating Power and the Probability of a Type II Error (A One-Tailed Example)Standardizing Normally Distributed Random Variables (fast version)Introduction to the Negative Binomial DistributionUsing the Chi-square Table to Find Areas and PercentilesThe Normal Approximation to the Binomial DistributionChi-square tests for count data: Finding the p-value (old, fast version)Measures of Variability (Variance, Standard Deviation, Range, Mean Absolute Deviation)Proof that the Sample Variance is an Unbiased Estimator of the Population Variance
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The Sample Variance: Why Divide by n-1?

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