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

Question

Quizplus · Accepted Answer

The sample mean has a lower variance than the sample median, making it a more efficient estimator of the population mean. However, both are unbiased estimators of the population mean.

The Sample Mean Is an Unbiased Estimator of the Population μ\muμ

The Sample Mean Is an Unbiased Estimator of the Population $\mu$