Recall that, each year, Fortune Magazine presents rankings of America’s leading businesswomen, including lists of the most powerful, highest paid, youngest, and “movers.” On page 35, we displayed a table showing Fortune’s list of the 25 highest paid women.

a. For each of the four columns of the table, classify the data as either qualitative or quantitative; if quantitative, further classify it as discrete or continuous. Also identify the variable under consideration in each case.

b. Use cutpoint grouping to organize the compensation data into frequency and relative-frequency distributions. Use a class width of 5 and a first cutpoint of 5.

c. Construct frequency and relative-frequency histograms of the compensation data based on your grouping in part (b).

d. Identify and interpret the shape of your histograms in part (c).

e. Truncate each compensation to a whole number (i.e., find the greatest integer in each compensation), and then obtain a stem-and-leaf diagram of the resulting data, us- ing two lines per stem.

f. Round each compensation to a whole number, and then obtain a stem-and-leaf diagram of the resulting data, us- ing two lines per stem.

g. Which of the stem-and-leaf diagrams in parts (e) and (f ) corresponds to the frequency histogram in part (c)? Can you explain why?

h. Round each compensation to a whole number, and then obtain a dotplot of the resulting data.

 

Rank 1234 5 6 7 8 9 10 11 12 13 14 15 16 17 Name Sharilyn Gasaway Safra Catz Diane Greene Kathleen Quirk Trudy Sullivan Angela Braly Ann Livermore Indra Nooyi Anne Mulcahy Sharon Fay Meg Whitman Barbara Novick Irene Rosenfeld Marilyn Fedak Andrea Jung Sallie Krawcheck Pamela Patsley Wellington Denahan-Norris Sue Decker 18 19 20 Katherine Harless 21 Barbara Desoer 22 Christine Poon 23 Brenda Barnes 24 Deborah McWhinney 25 Carrie Cox Company Alltel Oracle VMware Freeport 2.1 Variables and Data McMoRan Copper & Gold Talbot's WellPoint Hewlett-Packard PepsiCo Xerox Alliance Bernstein Holding eBay BlackRock Kraft Foods Alliance Bernstein Holding Avon Products Citigroup First Data Annaly Capital Management Yahoo Idearc Bank of America Johnson & Johnson Sara Lee Charles Schwab Schering-Plough Compensation ($ million) 38.6 34.1 16.4 16.3 15.7 14.9 14.8 14.7 12.8 12.4 11.9 11.8 11.6 35 11.5 11.1 11.0 10.5 10.1 10.1 10.0 9.6 9.4 9.1 8.9 8.9