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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)

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 the speeds of the fastest steel roller coasters in both Europe and North America, we need to identify the minimum and maximum speeds from each dataset and then calculate the range.

Speeds of the Fastest Steel Roller Coasters in Europe: From the stem-and-leaf plot:

  • The smallest speed is 74 mph (from 7|4).
  • The largest speed is 111 mph (from 11|1).

Range for Europe: Range = Maximum speed - Minimum speed = 111 - 74 = 37 mph.

Speeds of the Fastest Steel Roller Coasters in North America: From the table:

  • The speeds are: 90, 128, 91, 93, 120, 100, 95, 92, 85.
  • The smallest speed is 85 mph.
  • The largest speed is 128 mph.

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

Thus:

  • 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.