Chapter 6.B, Problem 15E

Comparing Variations. Consider the following data sets.

a. Find the mean, median, and range for each of the two data sets.

b. Give the five-number summary and draw a boxplot for each of the data sets.

c. Find the standard deviation for each of the data sets.

d. Apply the range rule of thumb to estimate the standard deviation of each of the data sets. How well does the rule work in each case? Briefly discuss why it does or does not work well.

e. Based on all your results, compare and discuss the two data sets in terms of their center and variation.

15. The table below gives the 2016 Cost of Living Index (COLI) for sex cities with a relatively high cost of living arid six cities a relatively low cost of living. The index is based on housing, utilities, grocery items, transportation, health care, and miscellaneous goods and services; 100 represents the national average.

High-cost cities	Low-cost cities
Manhattan, NY 228	Memphis, TN 83
San Francisco, CA 177	Tupelo, MS 83
Washington DC 149	Ashland, OH 82
Oakland, CA 149	Kalamazoo, MI 80
Boston, MA 148	Richmond, IN 80
Seattle, WA 145	McAllen, TX 76

Source: Council for Community and Economic Research.