1. By hand (show work), compute the mode, median, mean, range, sample variance, sample standard deviation, unbiased estimate of the population variance, and unbiased estimate of the population standard deviation on the following datasets. For comparison purposes, you might find it helpful to summarize the answers a table (helpful, but not required).

a. 1, 7, 5, 1, 6

b. 1, 17, 5, 1, 6

c. 1, 7, 5, 1, 6, 4

2. Let's assume that these scores represent the number of math courses taken by college students by the time they graduated. For dataset 1b, give a verbal description of the interpretation for the mode, median, mean, range, and sample standard deviation.

3. Some of the statistics stayed the same or changed by only a little bit for the data in 1a versus 1b, whereas other statistics changed a lot. For the mode, median, mean, and sample standard deviation, explain why each changed a little or a lot.