Answers2025-2026 TPS CR Algebra 1 BSummarizing Data Sets with Statistics

Data Displays and Statistics Answers

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1
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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

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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.
2
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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
3

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.
4

For a school newspaper article, Cienna conducted a survey to find out students’ favorite subjects. She polled all the students in Mrs. Lopez’s advanced dance class. Why is her data likely to be skewed?

A
Advanced dance students are more likely to enjoy dance than students in the general population, so dance may be overrepresented.
B
Cienna should have interviewed all the students in the school to get more accurate data.
C
Advanced dance students are more likely to enjoy dance than students in the general population, so dance will be underrepresented.
D
Cienna should have interviewed only every other student in the class to avoid having too many people.
5

Mrs. Liang, the librarian, wants to compare the numbers of patrons who prefer e-books to paperback books. She decides to take a poll of every third adult with a child who arrives at the library for one of the four reading groups: toddlers, preschoolers, primary grades, and upper elementary. Which statement is true about her method of data collection?

A
It is balanced because she is including parents with children of all ages so she will get a greater age range.
B
It is not balanced because it is less likely to include teens, young adults, and senior citizens in the patron population.
C
It is not balanced because she only surveyed the adults and not the young children.
D
It is balanced because she is polling four different reading groups, which include all types of people.
6

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
7

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
8

Jorge wants to find the most popular way for teens to volunteer in the community. He cannot decide between two methods.Option 1: He will ask every fifth person on each English class roster.Option 2: He will attend a walk for charity community event to ask teen participants about the ways they volunteer.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

Several students tested plant growth for given conditions. Which student’s data is most representative of average plant growth for the tested conditions? Alicia tested 6 plants. Brenden tested 24 plants. Caitlin tested 3 plants. Diego tested 12 plants.

A
Alicia
B
Brenden
C
Caitlin
D
Diego
10

Ethan and three friends kept track of their average points scored in each basketball game over the season. The results are shown below. Which player is the most consistent?Basketball Scoring StatisticsPlayerMean ScoreInterquartile RangeAdam10.91.4Ben16.71.8Ethan14.22.2Joaquin12.90.9

A
Adam, because his mean score is the lowest
B
Ben, because his mean score is the highest
C
Ethan, because his interquartile range is the highest
D
Joaquin, because his interquartile range is the lowest

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