Statistics Unit Test

Question

7 of 167 of 16 Items

Question
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.

Answer 1

To find the range of the speeds, you need to subtract the smallest value from the largest value for each continent.

Speeds of the Fastest Steel Roller Coasters in Europe:

From the stem-and-leaf plot:

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

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

Speeds of the Fastest Steel Roller Coasters in North America:

From the table:

• The values are: 90, 128, 91, 93, 120, 100, 95, 92, 85.
• The lowest speed is 85 mph.
• The highest speed is 128 mph.

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

Conclusion

The range of the speeds of the fastest steel roller coasters is:

• Europe: 37 mph
• North America: 43 mph