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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)

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.

1 answer

To find the range of the speeds of the fastest steel roller coasters on both continents, we need to calculate the range for each set of data.

Europe:

From the stem-and-leaf plot, we can extract the speeds:

  • From the stem "7": 74, 75, 75, 75
  • From the stem "8": 80, 80, 83, 84, 88
  • From the stem "9": 99
  • From the stem "11": 111

Listing them out:

  • 74, 75, 75, 75, 80, 80, 83, 84, 88, 99, 111

Now, we find the minimum and maximum speeds:

  • Minimum speed = 74 mph
  • Maximum speed = 111 mph

Now, calculate the range: \[ \text{Range} = \text{Maximum} - \text{Minimum} = 111 - 74 = 37 \text{ mph} \]

North America:

From the table:

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

Listing them out:

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

Now, we find the minimum and maximum speeds:

  • Minimum speed = 85 mph
  • Maximum speed = 128 mph

Now, calculate the range: \[ \text{Range} = \text{Maximum} - \text{Minimum} = 128 - 85 = 43 \text{ mph} \]

Conclusion:

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.