Most powerful women in America. Refer to Exercise and Fortune’s list of the 50 most powerf...

Most powerful women in America. Refer to Exercise and Fortune’s list of the 50 most powerful women in America. The data are stored in the WPOWER50 file.

a. Find the range of the ages of these 50 women.

---

b. Find the variance of the ages of these 50 women.

---

c. Find the standard deviation of the ages for these 50 women.

---

d. Suppose the standard deviation of the ages of the most powerful women in Europe is 10 years. For which location, the United States or Europe, is the age data more variable?

---

e. If the largest age in the data set is omitted, would the standard deviation increase or decrease? Verify your answer.

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).

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