1.
(08.01 LC)
Noah wants to predict who will be selected as the sixth-grade treasurer for student council. Which of the following groups should Noah survey to make his prediction? (1 point)
The first 100 students from an alphabetical list of the entire school
The first 100 students from an alphabetical list of sixth graders
One hundred random students from the entire school
One hundred random students from the sixth grade
2.
(08.01 LC)
Four students did a survey to find the ice cream flavor sixth-grade students prefer. The table below shows the method each student used to conduct the survey:
Student Method
Jane Asked 100 sixth-grade students at random what their favorite ice cream flavor is
Ken Asked 100 students at random from his seventh-grade class what their favorite ice cream flavor is
Sasha Asked 100 eighth-grade students at random what their favorite ice cream flavor is
Kevin Asked 100 third-grade students at random what their favorite ice cream flavor is
Which student's survey is most likely not biased? (1 point)
Jane
Ken
Sasha
Kevin
3.
(08.01 MC)
Jack wants to know how many families in his small neighborhood of 60 homes would help organize a neighborhood fund-raising party. He put all the addresses in a bag and drew a random sample of 30 addresses. He then asked those families if they would help organize the fund-raising party. He found that 12% of the families would help organize the party. He claims that 12% of the neighborhood families would be expected to help organize the party. Is this a valid inference? (1 point)
No, this is not a valid inference because he asked only 30 families
No, this is not a valid inference because he did not take a random sample of the neighborhood
Yes, this is a valid inference because he took a random sample of the neighborhood
Yes, this is a valid inference because the 30 families speak for the whole neighborhood
4.
(08.01 LC)
The following table shows the data collected from four random samples of 50 students from a small middle school regarding the type of television shows they prefer to watch:
Television Show Preferences
Sample # News Music Movies Cartoons Total
1 2 12 6 30 50
2 3 10 5 32 50
3 5 13 7 25 50
4 6 19 8 17 50
Based on the results in the table, which type of television show is preferred by the majority of students in the samples? (1 point)
News
Music
Movies
Cartoons
5.
(08.01 LC)
The following table shows the data collected from 2 random samples of 100 students from an after-school club regarding their favorite outdoor activity:
Sample Swimming Movies Picnics Total
1 60 30 10 100
2 80 15 5 100
Which of the following observations can be made about the number of students in the club who prefer swimming? (1 point)
It is more than the number of students who prefer movies and picnics combined.
It is less than the number of students who prefer movies and picnics combined.
It is equal to the number of students who prefer watching movies.
It is less than the number of students who prefer watching movies.
6.
(08.01 MC)
The following table shows the data collected from a random sample of 100 middle school students on the number of hours they play outdoor games every week:
Weekly Duration of Outdoor Games
Time (in hours) 0-2 3-5 6-8 9-11
Number of Students 30 62 8 0
There are 1,200 students in the school. Based on the sample proportion, how many students in the school would be expected to play outdoor games for at least three hours every week? (1 point)
744
840
960
1,104
7.
(08.02 LC)
The dot plots below show the test scores of seventh- and eighth-grade students:
Dot plot for Grade 7 shows 4 dots on score 60, 6 dots on score 70, 4 dots on score 80 and 6 dots on score 90. Dot plot for Grade 8 shows 5 dots on score 50, 7 dots on score 60, 4 dots on score 70, and 4 dots on score 80.
Based on visual inspection of the dot plots, which grade, if any, appears to have the higher mean score? (1 point)
Grade 7
Grade 8
Both groups show about the same mean score.
No conclusion about mean score can be made from the data.
8.
(08.02 MC)
The dot plots below show the distances traveled by two groups of bikers:
Two dot plots are labeled Group A and Group B. The horizontal axis is labeled Distance Traveled and marked from 15 to 40 at increments of 5 for both dot plots. Group A shows 9 dots on 15, 8 dots on 20, 3 dots on 25, 6 dots on 30, 4 dots on 35. Group B shows 10 dots on 20, 6 dots on 25, 4 dots on 30, 9 dots on 35 and 6 dots on 40.
Which of the following inferences can be made using the dot plots? (1 point)
There is no overlap between the data.
The range of the two groups is different.
Group A has a higher mean than group B.
Group B has a higher mean than group A.
9.
(08.02 MC)
Jake wants to compare the mean height of the players on his favorite badminton and basketball teams. He creates the dot plots shown below:
First dot plot is labeled Height of Badminton Players and shows 1 cross on 66, 1 cross on 69, 2 crosses on 70, 2 crosses on 71, 4 crosses on 72, 6 crosses on 73, 4 crosses on 74, 1 cross on 76, and 1 cross on 78. Second dot plot is labeled Height of Basketball Players and shows 3 crosses on 72, 2 crosses on 75, 2 crosses on 76, 2 crosses on 78, 2 crosses on 79, 2 crosses on 80, 2 crosses on 81, 2 crosses on 82, and 1 cross on 84
The mean absolute deviation is 1.74 inches for the badminton team and 3.02 inches for the basketball team. Which of the following conclusions can be drawn from the data? (1 point)
The badminton players are all taller than the basketball players.
The basketball players are all taller than the badminton players.
There is more variability in the badminton team member heights.
There is more variability in the basketball team member heights.
10.
(08.03 MC)
The ages of two groups of karate students are shown in the following dot plots:
A dot plot shows Age in years on the horizontal axis. For Group A, there are 2 dots on 4, 5 dots on 5, 3 dots on 7, 4 dots on 8, 2 dots on 9, 2 dots on 11, and 1 dot on 14. For Group B, there is 1 dot on 7, 2 dots on 8, 1 dot on 9, 1 dot on 11, 1 dot on 16, 2 dots on 19, 2 dots on 20, 2 dots on 21, and 1 dot on 26.
The mean absolute deviation (MAD) for group A is 2.07 and the MAD for group B is 5.51. Which of the following observations can be made using these data? (1 point)
Group A has greater variability in the data.
Group A has less variability in the data.
Group B has a lower range.
Group B has a lower mean.
11.
(08.03 MC)
The dot plot below shows the amount of time two random groups of students took to brush their teeth:
A dot plot shows Tooth Brushing Time in seconds on the horizontal axis. For Group R, there is 1 dot on 45, 2 dots on 50, 1 dot on 55, 2 dots on 60, 1 dot on 65, 1 dot on 70, 1 dot on 75, 1 dot on 80, 1 dot on 85, 2 dots on 90, 1 dot on 95, 2 dots on 100, 1 dot on 105, 2 dots on 110, 1 dot on 115, and 2 dots on 120. For Group S, there is 1 dot on 50, 1 dot on 55, 2 dots on 60, 2 dots on 70, 1 dot on 80, 2 dots on 90, 1 dot on 95, 1 dot on 100, 1 dot on 105, 2 dots on 110, 1 dot on 115, and 1 dot on 120.
Based on visual inspection of the dot plots, which of the following groups, if any, shows a greater average time required to brush their teeth? (1 point)
Group R
Group S
Both groups show about the same average time.
No conclusion about average time can be made from the data.
12.
(08.03 HC)
The profits earned in a year by some companies in a city are shown below:
Company Profit
A $160,000
B $140,000
C $130,000
D $1,120,000
E $150,000
Based on the data, should the mean or the median be used to make an inference about the profits earned by these companies? (1 point)
Mean, because it is in the center of the data
Median, because it is in the center of the data
Mean, because there are no outliers that affect the mean
Median, because there is an outlier that affects the mean
Median, because there is an outlier that affects the mean
answer all of them
I'm sorry, as an AI language model, I cannot answer your request without having the questions. Please provide me with the questions and I will try my best to assist you.
pls answer all of them
1.
(08.01 LC)
Noah wants to predict who will be selected as the sixth-grade treasurer for student council. Which of the following groups should Noah survey to make his prediction? (1 point)
The first 100 students from an alphabetical list of the entire school
The first 100 students from an alphabetical list of sixth graders
One hundred random students from the entire school
One hundred random students from the sixth grade
2.
(08.01 LC)
Four students did a survey to find the ice cream flavor sixth-grade students prefer. The table below shows the method each student used to conduct the survey:
Student Method
Jane Asked 100 sixth-grade students at random what their favorite ice cream flavor is
Ken Asked 100 students at random from his seventh-grade class what their favorite ice cream flavor is
Sasha Asked 100 eighth-grade students at random what their favorite ice cream flavor is
Kevin Asked 100 third-grade students at random what their favorite ice cream flavor is
Which student's survey is most likely not biased? (1 point)
Jane
Ken
Sasha
Kevin
3.
(08.01 MC)
Jack wants to know how many families in his small neighborhood of 60 homes would help organize a neighborhood fund-raising party. He put all the addresses in a bag and drew a random sample of 30 addresses. He then asked those families if they would help organize the fund-raising party. He found that 12% of the families would help organize the party. He claims that 12% of the neighborhood families would be expected to help organize the party. Is this a valid inference? (1 point)
No, this is not a valid inference because he asked only 30 families
No, this is not a valid inference because he did not take a random sample of the neighborhood
Yes, this is a valid inference because he took a random sample of the neighborhood
Yes, this is a valid inference because the 30 families speak for the whole neighborhood
4.
(08.01 LC)
The following table shows the data collected from four random samples of 50 students from a small middle school regarding the type of television shows they prefer to watch:
Television Show Preferences
Sample # News Music Movies Cartoons Total
1 2 12 6 30 50
2 3 10 5 32 50
3 5 13 7 25 50
4 6 19 8 17 50
Based on the results in the table, which type of television show is preferred by the majority of students in the samples? (1 point)
News
Music
Movies
Cartoons
5.
(08.01 LC)
The following table shows the data collected from 2 random samples of 100 students from an after-school club regarding their favorite outdoor activity:
Sample Swimming Movies Picnics Total
1 60 30 10 100
2 80 15 5 100
Which of the following observations can be made about the number of students in the club who prefer swimming? (1 point)
It is more than the number of students who prefer movies and picnics combined.
It is less than the number of students who prefer movies and picnics combined.
It is equal to the number of students who prefer watching movies.
It is less than the number of students who prefer watching movies.
6.
(08.01 MC)
The following table shows the data collected from a random sample of 100 middle school students on the number of hours they play outdoor games every week:
Weekly Duration of Outdoor Games
Time (in hours) 0-2 3-5 6-8 9-11
Number of Students 30 62 8 0
There are 1,200 students in the school. Based on the sample proportion, how many students in the school would be expected to play outdoor games for at least three hours every week? (1 point)
744
840
960
1,104
7.
(08.02 LC)
The dot plots below show the test scores of seventh- and eighth-grade students:
Dot plot for Grade 7 shows 4 dots on score 60, 6 dots on score 70, 4 dots on score 80 and 6 dots on score 90. Dot plot for Grade 8 shows 5 dots on score 50, 7 dots on score 60, 4 dots on score 70, and 4 dots on score 80.
Based on visual inspection of the dot plots, which grade, if any, appears to have the higher mean score? (1 point)
Grade 7
Grade 8
Both groups show about the same mean score.
No conclusion about mean score can be made from the data.
8.
(08.02 MC)
The dot plots below show the distances traveled by two groups of bikers:
Two dot plots are labeled Group A and Group B. The horizontal axis is labeled Distance Traveled and marked from 15 to 40 at increments of 5 for both dot plots. Group A shows 9 dots on 15, 8 dots on 20, 3 dots on 25, 6 dots on 30, 4 dots on 35. Group B shows 10 dots on 20, 6 dots on 25, 4 dots on 30, 9 dots on 35 and 6 dots on 40.
Which of the following inferences can be made using the dot plots? (1 point)
There is no overlap between the data.
The range of the two groups is different.
Group A has a higher mean than group B.
Group B has a higher mean than group A.
9.
(08.02 MC)
Jake wants to compare the mean height of the players on his favorite badminton and basketball teams. He creates the dot plots shown below:
First dot plot is labeled Height of Badminton Players and shows 1 cross on 66, 1 cross on 69, 2 crosses on 70, 2 crosses on 71, 4 crosses on 72, 6 crosses on 73, 4 crosses on 74, 1 cross on 76, and 1 cross on 78. Second dot plot is labeled Height of Basketball Players and shows 3 crosses on 72, 2 crosses on 75, 2 crosses on 76, 2 crosses on 78, 2 crosses on 79, 2 crosses on 80, 2 crosses on 81, 2 crosses on 82, and 1 cross on 84
The mean absolute deviation is 1.74 inches for the badminton team and 3.02 inches for the basketball team. Which of the following conclusions can be drawn from the data? (1 point)
The badminton players are all taller than the basketball players.
The basketball players are all taller than the badminton players.
There is more variability in the badminton team member heights.
There is more variability in the basketball team member heights.
10.
(08.03 MC)
The ages of two groups of karate students are shown in the following dot plots:
A dot plot shows Age in years on the horizontal axis. For Group A, there are 2 dots on 4, 5 dots on 5, 3 dots on 7, 4 dots on 8, 2 dots on 9, 2 dots on 11, and 1 dot on 14. For Group B, there is 1 dot on 7, 2 dots on 8, 1 dot on 9, 1 dot on 11, 1 dot on 16, 2 dots on 19, 2 dots on 20, 2 dots on 21, and 1 dot on 26.
The mean absolute deviation (MAD) for group A is 2.07 and the MAD for group B is 5.51. Which of the following observations can be made using these data? (1 point)
Group A has greater variability in the data.
Group A has less variability in the data.
Group B has a lower range.
Group B has a lower mean.
11.
(08.03 MC)
The dot plot below shows the amount of time two random groups of students took to brush their teeth:
A dot plot shows Tooth Brushing Time in seconds on the horizontal axis. For Group R, there is 1 dot on 45, 2 dots on 50, 1 dot on 55, 2 dots on 60, 1 dot on 65, 1 dot on 70, 1 dot on 75, 1 dot on 80, 1 dot on 85, 2 dots on 90, 1 dot on 95, 2 dots on 100, 1 dot on 105, 2 dots on 110, 1 dot on 115, and 2 dots on 120. For Group S, there is 1 dot on 50, 1 dot on 55, 2 dots on 60, 2 dots on 70, 1 dot on 80, 2 dots on 90, 1 dot on 95, 1 dot on 100, 1 dot on 105, 2 dots on 110, 1 dot on 115, and 1 dot on 120.
Based on visual inspection of the dot plots, which of the following groups, if any, shows a greater average time required to brush their teeth? (1 point)
Group R
Group S
Both groups show about the same average time.
No conclusion about average time can be made from the data.
12.
(08.03 HC)
The profits earned in a year by some companies in a city are shown below:
Company Profit
A $160,000
B $140,000
C $130,000
D $1,120,000
E $150,000
Based on the data, should the mean or the median be used to make an inference about the profits earned by these companies? (1 point)
Mean, because it is in the center of the data
Median, because it is in the center of the data
Mean, because there are no outliers that affect the mean
Median, because there is an outlier that affects the mean
1. To make his prediction, Noah should survey one hundred random students from the sixth grade.
2. Jane's survey, where she asked 100 sixth-grade students at random what their favorite ice cream flavor is, is the most likely not biased.
3. No, this is not a valid inference because Jack asked only 30 families.
4. Based on the results in the table, it can be concluded that the majority of students in the samples prefer cartoons as their preferred type of television show.
5. It can be observed that the number of students in the club who prefer swimming is more than the number of students who prefer movies and picnics combined.
6. Based on the sample proportion, it can be inferred that approximately 840 students in the school would be expected to play outdoor games for at least three hours every week.
7. Based on visual inspection of the dot plots, Grade 8 appears to have the higher mean score.
8. Based on the dot plots, the inference that can be made is that Group B has a higher mean than Group A.
9. The conclusion that can be drawn from the data is that there is more variability in the basketball team member heights compared to the badminton team.
10. Based on the mean absolute deviation (MAD) values, it can be observed that Group B has greater variability in the data.
11. Based on visual inspection of the dot plots, Group R shows a greater average time required to brush their teeth compared to Group S.
12. The median should be used to make an inference about the profits earned by these companies because there is an outlier (Company D) that affects the mean.
1. To determine who will be selected as the sixth-grade treasurer for student council, Noah should survey one hundred random students from the sixth grade. This ensures a fair representation of the entire sixth-grade class.
2. The most unbiased survey in this scenario is Jane's survey. She asked 100 sixth-grade students at random about their favorite ice cream flavor. Since her survey targeted the specific grade level Noah is interested in, it is most likely to provide accurate results.
3. No, this is not a valid inference because Jack only asked 30 families if they would help organize the party. The sample size is too small to accurately represent the entire neighborhood. To make a valid inference, Jack should have taken a larger random sample from the neighborhood.
4. Based on the data in the table, cartoons are the preferred type of television show among the majority of students in the samples. The table shows that in each of the four samples, cartoons received the highest number of preferences.
5. The observation that can be made about the number of students in the club who prefer swimming is that it is more than the number of students who prefer watching movies and picnics combined. In the first sample, 60 students prefer swimming, while in the second sample, 80 students prefer swimming. The combined number of students who prefer movies and picnics is 45, which is less than the number of students who prefer swimming (60 or 80).
6. Based on the sample proportion, the number of students in the school who would be expected to play outdoor games for at least three hours every week can be calculated by multiplying the sample proportion by the total number of students in the school. In this case, the proportion of students playing outdoor games for at least three hours is (62 + 8) / 100 = 0.7. Therefore, the number of students in the school who would be expected to play outdoor games for at least three hours every week is 0.7 * 1,200 = 840.
7. Based on visual inspection of the dot plots, it appears that Grade 8 has a higher mean score. The dot plot for Grade 8 shows a higher concentration of dots on scores of 70 and 80, which suggests that Grade 8 students, on average, scored higher than Grade 7 students.
8. Based on the dot plots, the inference that can be made is that Group A has a higher mean than Group B. The dot plot for Group A shows a higher concentration of dots on higher distances traveled, indicating that Group A bikers, on average, traveled farther than Group B bikers.
9. From the dot plots and mean absolute deviation (MAD) values, the conclusion that can be drawn is that there is more variability in the basketball team member heights. The MAD for the basketball team (3.02 inches) is higher than the MAD for the badminton team (1.74 inches), indicating that the heights of basketball players vary more compared to badminton players.
10. The observation that can be made based on the mean absolute deviation (MAD) values is that Group B has greater variability in the data. The MAD for Group B (5.51) is higher than the MAD for Group A (2.07), indicating that the ages of Group B karate students are more spread out and vary more compared to Group A students.
11. Based on visual inspection of the dot plots, it appears that Group S shows a greater average time required to brush their teeth. The dot plot for Group S shows a higher concentration of dots on longer brushing times compared to Group R, suggesting that Group S takes, on average, more time to brush their teeth.
12. Considering the presence of an outlier in the data (Company D's profit of $1,120,000), it would be more appropriate to use the median to make an inference about the profits earned by these companies. The median is less affected by outliers and provides a better measure of the central tendency in skewed data distributions.