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
Leaf|
7 4555
8 00348
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)
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
20
The range of the speeds of the fastest steel roller coasters in North America is
43 mph.
mph.
To find the range, we need to subtract the lowest speed from the highest speed for each continent.
Europe:
Highest speed = 94 mph
Lowest speed = 55 mph
Range = 94 - 55 = 39 mph
North America:
Highest speed = 128 mph
Lowest speed = 85 mph
Range = 128 - 85 = 43 mph
Therefore, the range of the speeds of the fastest steel roller coasters in Europe is 39 mph, and the range of the speeds of the fastest steel roller coasters in North America is 43 mph.
Anthony wants to know the average daily high temperatures in his town during the
summer. He chose two random samples of 10 consecutive days and recorded the
daily high temperatures. The daily high temperatures in Fahrenheit are as follows.
Sample 1: 78 82 85 87 90 85 79 86 91 88
Sample 2: 81 79 80 86 89 92 82 88 84 87
Find the mean daily high temperatures of each sample and calculate the difference
between these mean daily high temperatures.
(2 points)
The mean daily high temperature of Sample 1 is
The mean daily high temperature of Sample 2 is
The mean daily high temperatures of the two samples differ by
To find the mean daily high temperature of each sample, we need to sum up all the temperatures and then divide by the number of temperatures.
Sample 1:
Sum = 78 + 82 + 85 + 87 + 90 + 85 + 79 + 86 + 91 + 88 = 861
Mean = 861 / 10 = 86.1
Sample 2:
Sum = 81 + 79 + 80 + 86 + 89 + 92 + 82 + 88 + 84 + 87 = 858
Mean = 858 / 10 = 85.8
Now, to find the difference between the mean daily high temperatures of the two samples:
Difference = Mean of Sample 1 - Mean of Sample 2
Difference = 86.1 - 85.8 = 0.3
Therefore, the mean daily high temperature of Sample 1 is 86.1, the mean daily high temperature of Sample 2 is 85.8, and the mean daily high temperatures of the two samples differ by 0.3 degrees Fahrenheit.
The data from two random samples of 100 students regarding what pet they own is
given below.
Dog Cat Bird Total
Sample 1 54 38
8
100
Sample 2 39
49
12
100
Based on the two samples, what percentage of students own a bird as a pet?
(1 point)
To find the percentage of students who own a bird as a pet, we need to calculate the total number of students who own a bird from both samples and then divide by the total number of students in both samples (200).
Total number of students owning a bird:
Sample 1: 8
Sample 2: 12
Total: 8 + 12 = 20
Percentage of students owning a bird:
(20 / 200) * 100% = 10%
Therefore, based on the two samples, 10% of students own a bird as a pet.
Inese are the scores for two randomly selected lacrosse teams. Find the range of the
number of goals scored by each team. Based on the range, which team has a more
consistent number of goals scored?
Lacrosse Team 1: 6
4
17 3 12
Lacrosse Team 2: 23 14
22
14
17 22
(2 points)
The range of the number of goals scored by Lacrosse Team 1 is
of the number of goals scored by Lacrosse Team 2 is
Lacrosse Team
has a more consistent number of goals scored.
The range
Based on the range,
To find the range of the number of goals scored by each team, we need to subtract the lowest number of goals from the highest number of goals for each team.
Lacrosse Team 1:
Highest number of goals = 17
Lowest number of goals = 3
Range = 17 - 3 = 14
Lacrosse Team 2:
Highest number of goals = 23
Lowest number of goals = 14
Range = 23 - 14 = 9
Therefore, the range of the number of goals scored by Lacrosse Team 1 is 14 and the range of the number of goals scored by Lacrosse Team 2 is 9.
A smaller range indicates that the data values are more consistent and closer to each other. In this case, Lacrosse Team 2 has a smaller range of 9, indicating that they have a more consistent number of goals scored compared to Lacrosse Team 1, which has a range of 14.