1. Compute the mean, median, and standard deviation for the three variables revenues, profits,and number of employees. Assume this data is defined as a population.

2.Convert the data for each variable to a z value. Consider Mellon Bank Corporation headquartered in Pittsburgh. How does it compare to the average bank in the study on the three variables? Discuss.

3.As you can see by examining the data and by looking at the statistics computed in part a, not all banks had the same revenue, same profit, or the same number of employees. Which variable had the greatest relative variation among the banks in the study?

4.Calculate a new variable: profits per employee. Develop a frequency distribution and a histogram for this new variable. Also compute the mean, median, and standard deviation for the new variable. Write a short report that describes the profits per employee for the banks.

5.Referring to Question 4, how many banks had a profit-per-employee ratio that exceeded 2 standard deviations from the mean?

Source: Fortune 1 Thousand Ranked Within Industries FORTUNE, April 27, 1998, pp. F-46 to F-47. Revenues are in $ million. Profits are in $ million. Employees are the number of employees. Name CITICORP CHASE MANHATTAN CORP. BANKAMERICA CORP. NATIONSBANK CORP. J.P.MORGAN & CO. FIRST UNION CORP. BANC ONE CORP. BANKERS TRUST N.Y. CORP. FIRST CHICAGO NBD CORP. NORWEST CORP. WELLS FARGO & CO. FLEET FINANCIAL GROUP U.S. BANCORP PNC BANK BANKBOSTON CORP. KEYCORP BANK OF NEW YORK CO. WACHOVIA CORP. NATIONAL CITY CORP. MELLON BANK CORP. SUNTRUST BANKS MBNA CORESTATES FINAN. CORP. BARNETT BANKS REPUBLIC NEW YORK CORP. STATE ST. CORP. COMERICA BB&T CORP. SOUTHTRUST CORP. SUMMIT BANCORP HUNTINGTON BANCSHARES NORTHERN TRUST CORP. MERCANTILE BANCORP. FIRST OF AMER. BANK CORP. CRESTAR FINANCIAL CORP. FIFTH THIRD BANCORP REGIONS FINANCIAL FIRSTAR CORP. UNION PLANTERS CORP. MARSHALL & ILSLEY CORP. POPULAR AMSOUTH BANCORP. FIRST TENN. NATL. CORP. FIRST SECURITY CORP. OLD KENT FINANCIAL CORP. FIRST EMPIRE STATE CORP. ACIFIC CENTURY FINANCIAL PROVIDIAN FINANCIAL SYNOVUS FINANCIAL CORP. COMPASS BANCSHARES FIRST NATL. OF NEBRASKA Revenues Profits Employees 34697 3591 93700 30381 3708 69033 23585 3210 77000 21734 3077 80360 17701 1465 16943 14329 1896 43933 13219 1306 56600 12176 866 18286 10098 1525 33962 9660 1351 55729 9608 1155 33100 8095 1303 32317 6909 839 25858 6859 1052 24814 6727 879 21500 6568 919 24595 5697 1104 16494 5270 593 21652 5152 807 29841 5134 771 27500 4585 667 21227 4524 623 17398 4379 813 18847 4102 255 21487 3738 449 5900 3428 380 14199 3175 530 11000 2598 360 9803 2503 307 10311 2367 371 8566 2324 293 9485 2267 309 7553 2257 205 9510 2078 315 10622 1997 310 8215 1924 401 6787 1912 300 9227 1893 295 7755 1778 209 7711 1743 245 10227 1739 210 8854 1644 226 6400 1609 197 8207 1503 206 7673 1306 180 6328 1258 176 4781 1250 139 5114 1217 191 3884 1215 165 7496 1131 156 5060 1047 75 5200