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Data Displays and Statistics Answers

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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
2
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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
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

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.
5

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.
6

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
7

Sofia is a helper for the kindergarten class and is in charge of picking a video for their end-of-year party. To choose which type of movie they would like best, she decided to survey every other child entering a matinee for a cartoon called, “Three Pretty Princesses.” The total number of children surveyed was 40. What is wrong with the way she selected her sample? Check all that apply.

A
The sample of 40 children is too small to represent all kindergartners.
B
The sample was taken at a specific movie, which will skew data towards that type of movie.
C
The sample is likely to include a lot more girls than boys, since the movie title is “Three Pretty Princesses.”
D
The sample should include the adults with the children instead of only children.
E
The sample should include the other peer helpers in her grade to include a greater age range.
8

How many people were included in the sample shown below?

Question illustration
A
6
B
7
C
17
D
18
9

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
10

The box plot and histogram show the number of minutes sixth-grade students spent reading the previous night.Which statements best describe the box plot or histogram? Check all that apply.

Question illustration
A
Using the information in the box plot, the total number of students surveyed is 70 – 25, or 45.
B
Using the information in the histogram, the total number of students surveyed is 4 + 4 + 6 + 4 + 2 = 20.
C
Referring to the box plot, the median of the data is 50.
D
Referring to the histogram, the median of the data is 49.5.
E
The range of the data can be found using the box plot.
F
The range of the data can be found using the histogram.

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