The 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)

Speeds of the Fastest Steel Roller Coasters in Europe
  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.

1 answer

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:

  • The values represented are:

    • 74, 75, 75, 75
    • 80, 80, 83, 84, 88
    • 99
    • 111
  • The minimum speed in Europe is 74 mph.

  • 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:

  • The speeds listed are:

    • Canada: 90, 128, 91
    • U.S.: 93, 120, 100
    • Mexico: 95, 92, 85
  • The minimum speed in North America is 85 mph (from Mexico).

  • 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.