Bot, why can't you change your name?
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 4 5 5 5
8 0 0 3 4 8
9 9
11 1Key: 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 [blank] mph. The range of the speeds of the fastest steel roller coasters in North America is [blank] mph.
The range of the speeds of the fastest steel roller coasters in Europe is 37 mph (119 - 82 mph). The range of the speeds of the fastest steel roller coasters in North America is 45 mph (128 - 85 mph).
how does that make any sense?
I apologize for any confusion. To find the range, you need to subtract the smallest value from the largest value in each set of data.
For the European coasters, the smallest speed is 74 mph (stem 7, leaf 4) and the largest speed is 119 mph (stem 11, leaf 1). So the range is:
119 mph - 74 mph = 45 mph
For the North American coasters, the smallest speed is 85 mph and the largest speed is 128 mph. So the range is:
128 mph - 85 mph = 43 mph
I apologize for my error in the previous response.
Question
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
°.
The mean daily high temperature of Sample 1 is:
(78 + 82 + 85 + 87 + 90 + 85 + 79 + 86 + 91 + 88) / 10 = 85.1°
The mean daily high temperature of Sample 2 is:
(81 + 79 + 80 + 86 + 89 + 92 + 82 + 88 + 84 + 87) / 10 = 85.8°
The mean daily high temperatures of the two samples differ by:
85.8° - 85.1° = 0.7°
So the mean temperature of Sample 2 is 0.7 degrees Fahrenheit higher than Sample 1.
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?
[blank]%
To find the percentage of students who own a bird as a pet, we need to add up the number of students who own birds across both samples and divide by the total number of students across both samples.
The total number of students who own birds is 8 from Sample 1 and 12 from Sample 2, so the total number of students who own birds is:
8 + 12 = 20
The total number of students across both samples is:
100 + 100 = 200
So the percentage of students who own a bird as a pet is:
(20 / 200) x 100% = 10%
Therefore, 10% of the students in the two samples own a bird as a pet.
These 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 0 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
. The range of the number of goals scored by Lacrosse Team 2 is
. Based on the range, Lacrosse Team
has a more consistent number of goals scored.
The range of the number of goals scored by Lacrosse Team 1 is:
17 - 0 = 17
The range of the number of goals scored by Lacrosse Team 2 is:
23 - 14 = 9
Based on the range of the number of goals scored, Lacrosse Team 2 has a more consistent number of goals scored. The range of their scores is smaller, indicating less variability or difference between their lowest and highest scores.
These 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 0 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
. The range of the number of goals scored by Lacrosse Team 2 is
. Based on the range, Lacrosse Team
has a more consistent number of goals scored.
The range of the number of goals scored by Lacrosse Team 1 is:
17 - 0 = 17
The range of the number of goals scored by Lacrosse Team 2 is:
23 - 14 = 9
Based on the range of the number of goals scored, Lacrosse Team 2 has a more consistent number of goals scored. The range of their scores is smaller, indicating less variability or difference between their lowest and highest scores.
Fifteen students are randomly selected from two different classes. They were asked how many books they read during the summer. Their responses are as follows. Find the median number of books read by each class. Which class has a higher median number of books read?
Class 1: 0, 5, 3, 6, 7, 8, 10, 1, 1, 4, 5, 6, 4, 5, 6
Class 2: 2, 2, 4, 3, 0, 0, 6, 7, 10, 9, 6, 5, 3, 1, 2
(2 points)
The median number of books read during the summer by Class 1 is
.
The median number of books read during the summer by Class 2 is
.
Class
has a higher median number of books read during the summer.
To find the median number of books read by each class, we need to put the book counts in order from smallest to largest and find the middle number. If there are an even number of values, we take the mean of the two middle numbers.
For Class 1, the book counts sorted in order are:
0, 1, 1, 3, 4, 4, 5, 5, 5, 6, 6, 7, 8, 10
There are 15 numbers, so the median is the middle value, which is:
Median = 5
For Class 2, the book counts sorted in order are:
0, 0, 1, 2, 2, 2, 3, 3, 4, 5, 6, 6, 7, 9, 10
There are 15 numbers, so the median is the middle value, which is:
Median = 4
Based on the median number of books read, Class 1 has a higher median number of books read during the summer, since its median is 5 which is higher than the median of 4 for Class 2.
The ages of randomly selected employees at two companies are recorded. Their ages are as follows.
Company A: 34, 28, 36, 27, 45, 44, 30, 42, 41, 40, 50, 48, 52, 45, 39, 38
Company B: 29, 32, 48, 51, 49, 37, 33, 35, 36, 40, 45, 48, 43, 43, 44, 48
Which of the following statements is true?
1.The mean age of employees from Company A is higher than the mean age of employees from Company B.
2.The median age of employees from Company A is lower than the median age of employees from Company B.
3.The range of ages of employees from Company A is higher than the range of ages of employees from Company B.
(1 point)
Responses
statements 1, 2, and 3
statements 1, 2, and 3
statements 1 and 3
statements 1 and 3
statements 1 and 2
statements 1 and 2
statements 2 and 3
Statement 1 is false because we need to calculate the means to know which mean is higher.
Statement 2 is false because we need to calculate the medians to know which median is lower.
Statement 3 is true based on the given data as we need to calculate the ranges of ages to compare them.
Therefore, the correct response is:
statements 1 and 2.
Maritza plays in a softball league. She wants to know about how many players in the league also play basketball. Because there are 225 players in the league, she chooses the names of 45 of the players and asks them whether they also play basketball. Describe the population and the sample. What is the size of the population, and what is the size of the sample? Show your work.
The population in this scenario is all players in the softball league, while the sample is the group of 45 players that Maritza selected for her survey.
The size of the population is given as 225 players, as stated in the problem. The size of the sample is 45 players, as this is the number of players that Maritza selected.
Therefore, the population size is 225 players and the sample size is 45 players.