Use the computer to generate 750 samples, each containing n = 20 measurements, from a population that contains values of x equal to 1, 2, …, 48, 49, 50. Assume that these values of x are equally likely. Calculate the sample mean x and median M for each sample. Construct relative frequency histograms for the 750 values of x and the 750 values of M. Use these approximations to the sampling distributions of x and M to answer the following questions:

a. Does it appear that x and M are unbiased estimators of the population mean? [Note: m = 25.5.]

b. Which sampling distribution displays greater variation?