Median as an Estimator In Table 5-2, the sampling distribution of the medians has a mean of 2.7. Because the population mean is also 2.7, it might appear that the median is a good statistic for estimating the value of the population mean. Using the population values 1, 2, 5, find the 27 samples of size n 5 3 that can be selected with replacement, then find the median and mean for each of the 27 samples. After obtaining those results, find the mean of the sampling distribution of the median, and find the mean of the sampling distribution of the mean. Compare the results to the population mean of 2.7. What do you conclude?