AnswersGrade 7 MathematicsSampling and Comparing Populations

Practice Test Answers

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1
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Which describes the spread of the data in the two box plots?

A
The data in shelter B show more spread than the data in shelter A.
B
The data in shelter A range from about 21 to 28, while the data in shelter B range from about 18 to 20.
C
The data in shelter A range from about 17 to 28, while the data in shelter B range from about 16 to 20.
D
The data in shelter A show more spread than the data in shelter B.
3

The shapes of which plots, if any, show an outlier?

A
Westwood only
B
neither Middleton nor Westwood
C
Middleton only
D
both Middleton and Westwood
4

When comparing the shape of the two sets of data, what conclusion can someone draw?

A
The students tend to have fewer siblings than the teachers.
B
Both the students and the teachers have a wide range of siblings.
C
Both sets of data have the same shape.
D
The teachers tend to have fewer siblings than the students.
6

Julian and Nina are playing a game. Their scores for five games are shown in the table. Julian’s and Nina’s Scores Julian’s Scores 42 41 46 50 38 Nina’s Scores 47 27 45 32 49 Which statement comparing the medians to the ranges is true?

A
The medians differ by 3, but the ranges differ by 10.
B
The medians differ by 3, but the ranges differ by 2.
C
The medians differ by 1, but the ranges differ by 10.
D
The means differ by 1, but the ranges differ by 2.
8

At Lawson Middle School, Mr. Hernandez asked 90 randomly selected students from each grade level for their favorite subject, and 28 chose social studies as their favorite. He used this data to draw the inference that out of the 250 middle school students, about 20 percent prefer social studies. Did he make a reasonable inference?

A
No, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, but 28 is not 20 percent of 90 .
B
Yes, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, and 28 is 20 percent of 90 .
C
Yes, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, and 28 is 20 percent of 250 .
D
No, Mr. Hernandez’s sample is not large enough compared to the population.
9

An employer asks the survey question “How much money do you spend on gasoline per week to get to work?” of her employees that drive to work. Which best describes why she chose to only ask the employees that drive to work rather than all of her employees?

A
All employees were adequately represented by the sample that drives to work.
B
The employees that drive to work adequately represented the sample.
C
The employees that drive to work were the target of her survey.
D
All employees were too difficult to survey because the group was too large.
10

The student government wants to determine the theme for the eighth-grade dance. Which group would it be best to take a sample from?

A
middle school students
B
student government
C
eighth-grade students
D
eighth-grade students in student government
12

Lawrence performs a survey to determine the average number of minutes of exercise seventh-grade athletes get in one week. He gets a list of sports and the seventh-grade students participating in each sport. He then chooses 10 people from each list to complete the survey. How can Lawrence’s sample be improved to be more representative of the population?

A
He can choose his sample from every third person on each list rather than 10 people.
B
He can choose his sample from all seventh-grade students.
C
He can choose his sample from a list of students by class rather than by sport.
D
He can choose his sample from a list of all athletes participating in each sport.

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