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)
Stem : 7, 8, 9, 11
Leaf : 4 5 5 5, 0 0 3 4 8, 9, 1
Key: 7|4=74 miles per hour
Speeds of the Fastest Steel Roller Coasters in North America (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.
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.
The range of the speeds of the fastest steel roller coasters in Europe is 37 mph (119 - 82). The range of the speeds of the fastest steel roller coasters in North America is 43 mph (128 - 85).
May you explain your answer please bot
To find the range of each set of data, we need to subtract the smallest value from the largest value.
For the speeds of the fastest steel roller coasters in Europe, the smallest value is 82 mph (from the stem-and-leaf plot, the lowest number is 7|4=74 and the digit in the stem is 7, so the actual speed is 74 + 7 = 81 mph, and the next lowest value is 9|1=91), and the largest value is 119 mph (from the stem-and-leaf plot, the highest number is 1|1=111 and the digit in the stem is 11, so the actual speed is 111 + 11 = 122 mph, and the next highest value is 9|3=93). Therefore, the range is 119 - 82 = 37 mph.
For the speeds of the fastest steel roller coasters in North America, the smallest value is 85 mph (from the table, Mexico has the lowest speed of 85 mph), and the largest value is 128 mph (from the table, Canada has the fastest speed of 128 mph). Therefore, the range is 128 - 85 = 43 mph.
To find the range of speeds for each continent, we need to find the difference between the highest and lowest values in each set of data.
For the speeds of the fastest steel roller coasters in Europe:
The highest value is 91 mph (from the leaf 9,1).
The lowest value is 74 mph (from the leaf 7,4).
Therefore, the range for the speeds in Europe is 91 - 74 = 17 mph.
For the speeds of the fastest steel roller coasters in North America:
The highest value is 128 mph (from Canada).
The lowest value is 85 mph (from Mexico).
Therefore, the range for the speeds in North America is 128 - 85 = 43 mph.
So, the range for the speeds of the fastest steel roller coasters in Europe is 17 mph, and the range for North America is 43 mph.