To find the range of the speeds of the fastest steel roller coasters, we first need to determine the maximum and minimum speeds for both Europe and North America.
Speeds of the Fastest Steel Roller Coasters in Europe
From the stem-and-leaf plot:
- The speeds are:
- 74, 75, 75, 75 (from the stem 7)
- 80, 80, 83, 84, 88 (from the stem 8)
- 99 (from the stem 9)
- 111 (from the stem 11)
- Minimum speed: 74 mph
- Maximum speed: 111 mph
Range in Europe: \[ \text{Range} = \text{Maximum} - \text{Minimum} = 111 - 74 = 37 \text{ mph} \]
Speeds of the Fastest Steel Roller Coasters in North America
From the table:
- Canada: 90, 128, 91
- U.S.: 93, 120, 100
- Mexico: 95, 92, 85
- Minimum speed: 85 mph
- Maximum speed: 128 mph
Range in North America: \[ \text{Range} = \text{Maximum} - \text{Minimum} = 128 - 85 = 43 \text{ mph} \]
Summary of Results
- The range of the speeds of the fastest steel roller coasters in Europe is 37 mph.
- The range of the speeds of the fastest steel roller coasters in North America is 43 mph.