Consider the average price of a hotel room in 21 U.S. cities (Table 5.5.8) for the first half of 2015. 

a. Find the average price of a major-city hotel room in the United States, based on this data set. 

b. Find the sample standard deviation of these prices. 

c. What does the standard deviation tell you about hotel prices in major cities in the United States? 

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TABLE 5.5.8 Hotel Room Prices, Average by City Hotel Price City Atlanta $128 $213 Boston Chicago $179 Columbus $123 Dallas $136 $142 Denver Detroit $121 Honolulu $226 $129 Houston Los Angeles $175 $216 Miami New Orleans $191 New York $245 Orlando $112 Phoenix $125 Raleigh $108 $85 Reno $217 San Francisco Seattle $195 St. Louis $140 Washington, D.C. $173 Source: Hotels.com, accessed at http://hpi.hotels.com/usa-h12015/ price-changes-in-us-city-destinations/ on October 30, 2015.