The sample mean is an unbiased estimator of the population mean µ, and (when sampling from a normal population) the sample median is also an unbiased estimator of µ. However, the sample mean is relatively more efficient than the sample median.

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Quizplus · Accepted Answer

The statement is true. The sample mean is an unbiased estimator of the population mean, and in normal populations, the sample median is also unbiased. However, the sample mean is more efficient than the sample median in that it has a smaller variance and is therefore more likely to be closer to the true population mean.

The Sample Mean Is an Unbiased Estimator of the Population