[EX02-142] One of the many things the U.S. Census Bureau reports to the public is the increase in population for various geographic areas within the country. The percent of increase in population for the 100 fastest-growing counties in the United States from April 1, 2000, to July 1, 2003, are listed in the following table.

15.4 12.1 13.0 14.8 21.5

••• Remainder of data on Student’s Suite CD-ROM Source: http://www.census.gov/popest/counties/CO-EST2003-09.html

a. Calculate the mean and standard deviation.

b. Sort the data into a ranked list.

c. Determine the values of x  s, x  2s, and x 
3s, and determine the percentage of data within 1, 2, and 3 standard deviations of the mean.

d. Do the percentages found in part c agree with the empirical rule? What does that mean?

e. Do the percentages found in part c agree with Chebyshev’s theorem? What does that mean?

f. Construct a histogram and one other graph of your choice. Do the graphs show a distribution that agrees with your answers in parts d and e?
Explain.