To find the range of speeds for both regions, we first need to determine the minimum and maximum speeds from the provided information.
Speeds of the Fastest Steel Roller Coasters in Europe (from the stem-and-leaf plot):
- Stems (Tens digits): 7, 8, 9, 11
- Leaves (Ones digits):
- 7 | 4 → 74 mph
- 7 | 5 → 75 mph
- 7 | 5 → 75 mph
- 7 | 8 → 78 mph
- 8 | 0 → 80 mph
- 8 | 0 → 80 mph
- 8 | 3 → 83 mph
- 8 | 4 → 84 mph
- 8 | 8 → 88 mph
- 8 | 9 → 89 mph
- 9 | 1 → 91 mph
- 9 | 1 → 91 mph
So, the speeds in Europe are:
74, 75, 75, 78, 80, 80, 83, 84, 88, 89, 91, 91
- Minimum speed (Europe): 74 mph
- Maximum speed (Europe): 91 mph
Range for Europe:
\[ \text{Range (Europe)} = \text{Maximum} - \text{Minimum} = 91 - 74 = 17 \text{ mph} \]
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
So, the speeds in North America are:
90, 128, 91, 93, 120, 100, 95, 92, 85
- Minimum speed (North America): 85 mph
- Maximum speed (North America): 128 mph
Range for North America:
\[ \text{Range (North America)} = \text{Maximum} - \text{Minimum} = 128 - 85 = 43 \text{ mph} \]
Final Answer:
The range of the speeds of the fastest steel roller coasters in Europe is 17 mph.
The range of the speeds of the fastest steel roller coasters in North America is 43 mph.