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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 in both Europe and North America, we need to determine the highest and lowest speeds in each dataset.

Europe:

From the stem-and-leaf plot:

  • Lowest Speed: 74 mph (from stem 7 and leaf 4)
  • Highest Speed: 111 mph (from stem 11 and leaf 1)

Range for Europe: \[ \text{Range} = \text{Highest Speed} - \text{Lowest Speed} = 111 - 74 = 37 \text{ mph} \]

North America:

From the table:

  • Speeds: 90, 128, 91, 93, 120, 100, 95, 92, 85
  • Lowest Speed: 85 mph
  • Highest Speed: 128 mph

Range for North America: \[ \text{Range} = \text{Highest Speed} - \text{Lowest Speed} = 128 - 85 = 43 \text{ mph} \]

Final Results:

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.