FAQ: Sampling Distributions - Biased Estimators

This community-built FAQ covers the “Biased Estimators” exercise from the lesson “Sampling Distributions”.

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This exercise can be found in the following Codecademy content:

Master Statistics with Python


FAQs on the exercise Biased Estimators

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Why do sample statistics not center at the population maximum

I have question on biased & unbiased estimators. For the biased estimators, like the min, max, and variance, is there a reason that the mean of population maximum and the mean of sampling distribution do not center with one another?

I understand that these estimators are biased because the mean of the sampling distribution of the maximum is not centered at the population maximum. But I’m not sure why this is the case for the biased estimators (min, max, etc.) and does not occur with an unbiased estimator (e.g. the mean). What properties does the mean have that makes it an unbiased estimator?