Assignment:
1.Consider a sample with data values of 10, 20, 12, 17, and 16. Compute the mean and median.
2. The Dow Jones Travel Index reported what business travelers pay for hotel rooms per night in major US cities (The Wall Street Journal, January 16, 2004). The hotel room rates for 20 cities are as follows.
A. What is the mean hotel room rate?
B. What is the median hotel room rate?
C. What is the mode?
D. What is the first quartile?
E. What is the third quartile?
| City |
Rate per Night |
| Atlanta |
163 |
| Boston |
177 |
| Chicago |
166 |
| Cleveland |
126 |
| Dallas |
123 |
| Denver |
120 |
| Detroit |
144 |
| Houston |
173 |
| Los Angeles |
160 |
| Miami |
192 |
| Minneapolis |
125 |
| New Orleans |
167 |
| New York |
245 |
| Orlando |
146 |
| Phoenix |
139 |
| Pittsburgh |
134 |
| San Francisco |
167 |
| Seattle |
162 |
| St. Louis |
145 |
| Washington D.C. |
207 |
3. Media Matrix collected data showing the most popular Web sties when browsing at home and at work (Business 2.0 January 2000). The following data show the number of unique visitors (thousands) for the top 25 web sites when browsing at home.
A. Compute the mean and median
B. Do you think it would be better to use or the median as the measure of central location for these date? Explain
C. Compute the first and third quartiles.
D. Compute and interpret the 85th percentile.
| Website |
Unique Visitors (thousands) |
| about.com |
5538 |
| altavista.com |
7391 |
| amazon.com |
7986 |
| angelfire.com |
8917 |
| aol.com |
23863 |
| bluemountainarts.com |
6786 |
| ebay.com |
8296 |
| excite.com |
10479 |
| geocities.com |
15321 |
| go.com |
14330 |
| hotbot.com |
5760 |
| hotmail.com |
11791 |
| icq.com |
5052 |
| looksmart.com |
5984 |
| lycos.com |
9950 |
| microsoft.com |
15593 |
| msn.com |
23505 |
| netscape.com |
14470 |
| passport.com |
11299 |
| real.com |
6785 |
| snap.com |
5730 |
| tripod.como |
7970 |
| xoom.com |
5652 |
| yahoo.com |
26796 |
| zdnet.com |
5133 |
4. In automobile mileage and gasoline-consumption testing. 13 automobiles were road tested for 300 miles in both city and highway driving conditions. The following data were recorded for miles-per-gallon performance.
Use the mean, median, and mode to make a statement about the difference in performance for city and highway driving.
| City |
Highway |
| 16.2 |
19.4 |
| 16.7 |
20.6 |
| 15.9 |
18.3 |
| 14.4 |
18.6 |
| 13.2 |
19.2 |
| 15.3 |
17.4 |
| 16.8 |
17.2 |
| 16.0 |
18.6 |
| 16.1 |
19.0 |
| 15.3 |
21.1 |
| 15.2 |
19.4 |
| 15.3 |
18.5 |
| 16.2 |
18.7 |
5. Consider a sample with data values of 10, 20, 12, 17, and 16. Compute the range and interquartile range.