The sample variance (where you divide by n − 1)is an unbiased estimator of the population variance.

Sample Variance

A measure of the dispersion or variability within a sample dataset, indicating how much the individual data points differ from the sample mean.

Population Variance

A measure of the dispersion of a set of data points in a population, calculated as the average of the squared distances of each data point from the population mean.

Unbiased Estimator

A statistical estimator that, when applied repeatedly to numerous samples, gives correct parameter values on average.

Acquire knowledge about the theory behind unbiased and biased estimators.
Understand the effect of sample variability on the bias of estimators.

Verified Answer

Aniyah MartinezJun 26, 2024

Final Answer :

True

Explanation :

This statement is true. The sample variance using n-1 as the denominator is an unbiased estimator of the population variance.

Learning Objectives

Acquire knowledge about the theory behind unbiased and biased estimators.
Understand the effect of sample variability on the bias of estimators.

The sample variance (where you divide by n − 1)is an unbiased estimator of the population variance.

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Learning Objectives

Learning Objectives

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