To find the range of speeds of the fastest steel roller coasters for both Europe and North America, we need to identify the maximum and minimum speeds from each dataset and then calculate the range using the formula:
\[ \text{Range} = \text{Maximum} - \text{Minimum} \]
Europe
From the stem-and-leaf plot:
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The values represented are:
- 74, 75, 75, 75
- 80, 80, 83, 84, 88
- 99
- 111
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The minimum speed in Europe is 74 mph.
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The maximum speed in Europe is 111 mph.
Now we can calculate the range for Europe:
\[ \text{Range}_{\text{Europe}} = 111 - 74 = 37 \text{ mph} \]
North America
From the table of speeds in North America:
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The speeds listed are:
- Canada: 90, 128, 91
- U.S.: 93, 120, 100
- Mexico: 95, 92, 85
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The minimum speed in North America is 85 mph (from Mexico).
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The maximum speed in North America is 128 mph (from Canada).
Now we can calculate the range for North America:
\[ \text{Range}_{\text{North America}} = 128 - 85 = 43 \text{ mph} \]
Final Answer
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.