Problem

Which of the following is a biased estimator? That is, which of the following does not target the population parameter? Choose the correct answer below. Variance Mean Median Proportion

Solution

Step 1 :Understand what a biased estimator is. A biased estimator is an estimator that does not target the population parameter. It does not accurately represent the population parameter it is supposed to estimate.

Step 2 :The variance, mean, and proportion are all unbiased estimators because they accurately represent the population parameters they are supposed to estimate.

Step 3 :The median, however, can be a biased estimator because it does not always accurately represent the population parameter it is supposed to estimate.

Step 4 :Therefore, the answer to this question is the median.

Step 5 :Final Answer: \(\boxed{\text{Median}}\)

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Source: https://solvelyapp.com/problems/CkOHTSkeSQ/

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