Most powerful women in America. Refer to the Fortune list of the 50 most powerful women in America, saved in the WPOWER50 file. In Exercise you found the mean age of the 50 women in the data set, and in Exercise you found the standard deviation. Use these values to form an interval that will contain at least 75% of the ages in the data set.
Most powerful businesswomen in America. Fortune (Oct. 16, 2008) published a list of the 50 most powerful women in business in the United States. The data on age (in years) and title of each of these 50 women are stored in the WPOWER50 file. The first five and last five observations of the data set are listed in the table below. Descriptive statistics for the ages are displayed on the MINITAB printouts (p. 58).
Rank | Name | Age | Company | Title |
1 | Indra Nooyi | 52 | PepsiCo | CEO/Chairman |
2 | Irene Rosenfeld | 55 | Kraft Foods | CEO/Chairman |
3 | Pat Woertz | 55 | Archer Daniels Midland | CEO/Chairman |
4 | Anne Mulcahy | 55 | Xerox | CEO/Chairman |
5 | Angela Braley | 47 | Wellpoint | CEO/President |
⋮ | ⋮ | ⋮ | ⋮ | ⋮ |
46 | Lorrie Norrington | 48 | eBay | CEO |
47 | Terri Dial | 58 | Citigroup | CEO |
48 | Lynn Elsenhans | 52 | Sunoco | CEO/President |
49 | Cathie Black | 64 | Hearst Magazines | President |
50 | Marissa Mayer | 33 | Vice president |
Based on “50 most powerful businesswomen,” Fortune, October 16, 2008.
a. Find the mean, median, and modal age of these 50 women on the printout. Interpret these values.
b. What do the mean and median indicate about the skewness of the age distribution?
c. Find the modal age class on the histogram
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