1. The following data are the number of Home Runs hit by The Sultan of Swat, Babe Ruth, in his 22-year marvelous career: 0 4 3 2 11 29 54 59 35 41 46 25 47 60 54 46 49 46 41 34 22 6. Find the mean, median, mode and then determine the shape of the distribution.
2. The following data give the amounts (in dollars) spent on fast-food meals by a young couple during 40 weeks:

32 22 19 18 43 42 40 43 18 21

31 26 22 25 47 40 26 32 22 34

28 35 47 26 35 38 35 28 19 38

35 38 36 25 22 45 48 26 34 41

Find Q₁, Q₂and Q₃and IQR. Determine whether there are outliers.

1. Find the 20^thpercentile of the data in problem #2.
2. The office of the Dean of Graduate Studies has compiled the following information regarding the ages of twenty-six students who will be awarded their Ph.D.s. Find the mean age.

Age (in years)	Number of students
20 - 24	1
25 - 29	9
30 - 34	8
35 - 39	5
40 - 44	2
45 - 49	1

1. It is well known that men tend to weigh more than women, and men tend to be taller than women. The body mass index ( BMI ) is a measure based on weight and height. Listed below are BMI values from randomly selected men and women. Compare the two data sets. Which has more variation? Explain. Men: 23.8 23.2 24.6 23.5 24.5 21.5 31.4 26.4 22.7 27.8 28.1 26.2 Women: 19.6 23.8 19.6 29.1 25.2 21.4 22.0 27.5 33.5 20.6 29.9 17.