AnswersTX-College Prep Math BData Displays and Statistics

Data Displays and Statistics Answers

10 verified answers
1
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What is the best definition for “sample” as used in statistics?

A
the entire population of the group
B
a part of the population that represents the entire population
C
the difference between the maximum and minimum values observed
D
a measure of how much the values within a population vary
2
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Which type of graph most readily shows the interquartile range for a data set?

A
bar graphs
B
box plots
C
dot plots
D
histograms
3

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.
4

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
5

Dylan wanted to find the average number of hours per day that the students in his class practiced their instruments. He chose three students by drawing their names from a hat. What should he do to ensure that he has an accurate average for the class?

Question illustration
A
He should add the three numbers and divide by 3 because that is how one finds an average.
B
He should poll more students to eliminate the variability caused by a sample size that is too small.
C
He should take the middle number as his average since he has three observations.
D
He should just find the average of 0.5 and 4 since 0 does not change anything when adding.
6

Raj polled 100 students in his class to compare the number of hours that teen boys and girls played video games each week. The results of his survey are shown below. Which gender shows greater variability in their playing time?Hours of Video Game Time per Week for Teen Boys Hours of Video Game Time per Week for Teen Girls

Question illustration
A
Boys show greater variability because the 3rd quartile for boys is 17 but only 15 for girls.
B
Boys show greater variability because the median playing time for boys is 14.5 but only 6 for girls.
C
Girls show greater variability because the interquartile range for girls is 12 for girls but only 8 for boys.
D
Girls show greater variability because the data for the girls is skewed toward the lower end of the box plot.
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

Ariel wants to find out the most popular theme for spirit week at school. She cannot decide between two methods. Option 1: She will poll each student who leaves the gym after sports practice.Option 2: She will randomly poll three students from each first-period class.Which statement about the methods is true?

A
Option 1 is biased.
B
Option 2 is biased.
C
Neither is biased.
D
Both are biased.
9

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.
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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