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he stem-and-leaf plot shows the speeds of the fastest steel roller coasters in Europe. The table shows the speeds of the fastest steel roller coasters in North America. Speeds of the Fastest Steel Roller Coasters in Europe (in miles per hour) This stem-and-leaf plot represents the speeds of the fastest steel roller coasters in Europe, where the stem indicates the tens digit and the leaf represents the ones digit. Stem Leaf 7 4 5 5 5 8 0 0 3 4 8 9 9 11 1 Key: 7|4=74 miles per hour Speeds of the Fastest Steel Roller Coasters in North America (in miles per hour) This table displays the speeds of the fastest steel roller coasters in North America, categorized by country. The values represent speeds in miles per hour. Canada 90 128 91 U.S. 93 120 100 Mexico 95 92 85 Find the range of the speeds of the fastest steel roller coasters on both continents. (1 point) The range of the speeds of the fastest steel roller coasters in Europe is mph. The range of the speeds of the fastest steel roller coasters in North America is mph. Skip to navigation

1 answer

To find the range of the speeds of the fastest steel roller coasters in both Europe and North America, we first need to calculate the range for each region.

For Europe

Based on the stem-and-leaf plot:

  • The stem is 7, and the leaves are 4, 5, 5, 5, 8, making the values:
    • 74, 75, 75, 75, 78
  • The stem is 8, and the leaves are 0, 0, 3, 4, 8, 9, 9, 11, which translates to the values:
    • 80, 80, 83, 84, 88, 89, 89, 91

Now, listing all speeds from the stem-and-leaf plot, we have:

  • 74, 75, 75, 75, 78, 80, 80, 83, 84, 88, 89, 89, 91

Minimum speed = 74 mph
Maximum speed = 91 mph

Range for Europe = Maximum speed - Minimum speed = 91 - 74 = 17 mph

For North America

Based on the given data:

  • Canada: 90, 128, 91
  • U.S.: 93, 120, 100
  • Mexico: 95, 92, 85

Listing all speeds from North America, we have:

  • 90, 128, 91, 93, 120, 100, 95, 92, 85

Minimum speed = 85 mph
Maximum speed = 128 mph

Range for North America = Maximum speed - Minimum speed = 128 - 85 = 43 mph

Final results:

  • 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.