1. Create a set of exams scores, (for a 100 point exam), for a hypothetical
class of ten students in which:
a. The mean, median, and mode are all the same
b. The mean is at least 10 points greater than the median
c. The median is at least 10 points greater than the mean
2. Give the 5 number summary for the following data set:
State |
# of Hazardous Waste Sites |
| Connecticut | 15 |
| Delaware | 16 |
| Maine | 13 |
| Maryland | 18 |
| Massachusetts | 31 |
| New Hampshire | 18 |
| New Jersey | 113 |
| New York | 90 |
| Pennsylvania | 94 |
| Rhode Island | 12 |
| Vermont | 9 |
| Virginia | 30 |
3. Calculate the standard deviation for the above dataset
4. A study to determine how fast cars travel on Main Street, which has a speed limit of 25 mph, tracked cars traveling at the following speeds: 24, 20, 32, 25, 52, 35, 28, 26, 29, 30. What measure should be used to identify a "typical" speed on this street? Why?
5. The following tables give information about the top women-owned businesses in the U.S.
PA Companies |
2000 Revenue ($, million) |
| 84 Lumber | 2000 |
| Charming Shoppes | 1600 |
| Rodale | 500 |
| Mother's Work | 366.3 |
| Harmelin Media | 200 |
| McGettigan Partners | 175 |
| Wetherill Associates | 135 |
| Hanna Holdings | 73.7 |
MI Companies |
2000 Revenue ($, million) |
| Illitch Holdings | 800 |
| Plastech Engineered Products | 420 |
| Jerome-Duncan Ford | 350 |
| Elder Ford | 287.6 |
| Patsy Lou Williamson Auto | 221 |
| Mexican Industries | 174 |
| Rush Trucking | 153 |
| Jaguar-Saab of Troy | 143 |
| Manpower Metro Detroit | 118 |
a. Calculate the mean and standard deviation for the 2000 Revenue for both Michigan and Pennsylvania.
b. Explain what the values calculated in (a) tell you about the datasets.