Data Displays and Statistics Answers

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1
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Which data collections show bias? Check all that apply.

A
An English teacher polls the top-ten most avid readers to find their favorite books.
B
An insurance company polls drivers of sports cars to find their average number of tickets.
C
A restaurant manager surveys every tenth customer for one week.
D
An assistant principal surveys each student who is sent for discipline.
E
A fundraiser organizer draws five names from a hat that contains all entries.
3

Leo wants to determine the average number of texts middle school students send in a day. Since all middle school students are enrolled in history, he randomly surveyed 4 students from each of Mr. Barnes’s eighth-grade history classes. Ms. Lopez and Mrs. Frank also teach eighth-grade history. What should Leo do to ensure his sample is representative of all middle school students?

A
He should take the sample as is because he randomly surveyed students in each of Mr. Barnes’s classes.
B
He should also take a sample from Ms. Lopez’s and Mrs. Frank’s classes so that each student has the same chance of being chosen.
C
He should also take a sample from each of the other history classes in all of the other grades in the middle school.
D
He should survey all the students in all the history classes to make sure he collects enough data.
5

Phoebe surveyed teens and adults to find the average number of hours of sleep they get during the week. Her results are shown below. Which statement regarding her survey results is true?Hours of Sleep for TeensHours of Sleep for Adults

Question illustration
A
Adults get more hours of sleep on average than teens.
B
Adults have less variability in the hours of sleep.
C
Teens have less variability in the hours of sleep.
D
Teens get less sleep on average than adults.
6

The dot plot and box plot show different displays of the ages of runners on a track team.Which statements best describe the dot plot or box plot? Check all that apply.

Question illustration
A
Add the number of dots above each age in the dot plot to find the number of players on the team: 2 + 1 + 3 + 2 + 3 + 2 = 13.
B
Subtract the maximum and minimum values of the box plot to find the number of players on the team: 12 – 7.
C
The median appears clearly on the dot plot at the center of the number line: 9.5.
D
The median appears clearly on the box plot at the line within the box: 10.
E
The dot plot is the only display that can be used to show the variability of the data.
F
The box plot is the only display that can be used to show the variability of the data.
7

Rodell wants to find the favorite gaming app among the students at his school. He decides to poll the thirty students on his football team and the fifteen students on his basketball team to gather the data. What is wrong with Rodell’s method for collecting his data?

A
Rodell only polled fellow athletes; this sample does not represent nonathletes at the school.
B
Rodell needs a larger sample size than two sports teams to represent a whole school.
C
Rodell polled everyone on his teams; he should have only polled every other student for it to be a true sample.
D
Rodell’s polling method only included fall and winter sports; he should have also included a spring sport like baseball.
8

Which dot plot shows a sample that is most representative of the number of pets in a household?

A
A dot plot going from 0 to 6. There are 3 dots above 0, 5 dots above 1, 4 dots above 2, 3 dots above 3, 2 dots above 4, 0 dots above 5, and 1 dot above 6.
Option A
B
A dot plot going from 0 to 6. There are 2 dots above 1, 3 dots above 2, and 1 dot above 5.
Option B
C
A dot plot going from 0 to 6. There is 1 dot above 0, 2 dots above 1, 1 dot above 2, 1 dot above 3, 1 dot above 4, 1 dot above 5, 2 dots above 6.
Option C
D
A dot plot going from 0 to 6. There is 1 dot above 1, 2 dots above 2, 3 dots above 3, 2 dots above 4, 1 dot above 5.
Option D
9

Logan wants to move to a new city. He gathered graphs of temperatures for two different cities. Which statements about the data sets shown are true?City ACity B

Question illustration
A
City A is likely to have a colder temperatures because the interquartile range is smaller than that of City B.
B
City A is likely to have temperatures that remain fairly constant year round because it has a compact interquartile range compared to that of City B.
C
City A is likely to have very hot days and extreme temperatures because the mean is larger than that of City B.
D
City B is likely to have more warm days than City A because the maximum value is greater.
E
City B is likely to have more extreme temperatures with colder days in winter and hotter days in summer because the range is greater than that of A.
F
City B is likely to have more lower temperatures than City A because the median for City B is lower.
10

Madison claims that two data sets with the same median will have the same variability. Which data set would provide good support for whether her claim is true or false?

A
Her claim is true and she should use these data sets to provide support.
Option A
B
Her claim is true and she should use these data sets to provide support.
Option B
C
Her claim is false and she should use these to show that two data sets with the same median can have different variability.
Option C
D
Her claim is false and she should use these to show that two data sets with the same median can have different variability.
Option D

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