In 2011, the website NewGeography .com listed its ranking of the best cities for job growth in the United States. Here is the magazine's top 20 larger cites, along with their weighted job rating index.

a) Make a suitable display of the weighted growth indices.
b) Summarize the typical growth index among these cities with a median and mean. Why do they differ?
c) Given what you know about the distribution, which of the measures in part b does the better job of summarizing the growth indices? Why?
d) Summarize the spread of the growth index distribution with a standard deviation and with an IQR.
e) Given what you know about the distribution, which of the measures in part d does the better job of summarizing the growth rates? Why?
f) Suppose we subtract from each of the preceding growth rates the average U.S. large-city growth index of 49.23%, so that we can look at how much these indices exceed the U.S. rate. How would this change the values of the summary statistics you calculated above?
g) If we were to omit Austin-Round Rock-San Marcos, TX from the data, how would you expect the mean, median, standard deviation, and IQR to change? Explain your expectations for each.
h) Write a brief report about all of these growth indices.

1 Austin-Round Rock-San Marcos, TX 2 New Orleans-Metairie-Kenner, LA 3 Houston-Sugar Land-Baytown, TX 4 San Antonio-New Braunfels, TX 5 Dallas-Plano-Irving, TX Metropolitan Division 6 Washington-Arlington-Alexandria, DC-VA-MD-WV 89.1 88.9 82.1 80.7 80.6 74.1 Metropolitan Division 7 73.8 73.1 72.6 71.9 71.7 70.7 Northern Virginia, VA 8 Nashville-Davidson-Murfreesboro-Franklin, TN 9 New York City, NY 10 Philadelphia City, PA 11 Pittsburgh, PA 12 Bethesda-Rockville-Frederick, MD Metropolitan Division 13 Boston-Cambridge-Quincy, MA NECTA Divisian 14 Raleigh-Cary, NC 15 Fort Worth-Arlington, TX Metropolitan Division 16 Rochester, NY 17 Nassau-Suffolk, NY Metropolitan Division 18 Buffalo-Niagara Falls, NY 19 Columbus, OH 20 Salt Lake City, UT 70.4 67.8 67.8 66.7 65.5 64.7 64.3 64.2