Part 1 (Show Work)

Your class rank in 2018 was 89 out of 360 students. In 2019 your class

rank was 95 out of 450 students.

a. In which year did you have the higher percentile ranking.

b. If you had the data on the cumulative GPA of each student at the end of the spring semester in 2018, which measure of average would be the most meaningful - mean, median, mode? Explain.

Part 2 (Show Work)

The executives in a company are four women and three men. Three are to be chosen at

random to attend a management seminar.

a. If one person from the executives is chosen at random to draw the names out of a hat, what is the probability that the person drawing the names is a woman?

b. How many ways can the group of attendees be formed if there are no restrictions on composition?

c. How many ways can one man be chosen?

d. How many ways can 2 women be chosen?

e. What is the probability that the random selection of the three-person group will result in two women and one man?