Problem

Most powerful women in America. Refer to the Fortune ranking of the 50 most powerful women...

Most powerful women in America. Refer to the Fortune ranking of the 50 most powerful women in America, presentedin Exercise. (These data are saved in theWPOWER50 file.) Use side-by-side box plots to comparethe ages of the women in three groups, based on their positionwithin the firm: Group 1 (CEO, CEO/ Chairman, orCEO/president); Group 2 (COO/President, EVP/Pres., chairman,COO, EVP/COO, or president); Group 3 (EVP, executive,SVP, SVP, VP, or direct). Do you detect outliers?

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	Google	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