AnswersMath 7 B M12 2526 S2Comparing Box Plots

Comparing Box Plots — Unit test Answers

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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 all seventh-grade students.
B
He can choose his sample from a list of students by class rather than by sport.
C
He can choose his sample from every third person on each list rather than 10 people.
D
He can choose his sample from a list of all athletes participating in each sport.
2
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A group of seventh graders and a group of teachers at a local middle school were asked how many siblings they each have. The dot plots below show the results.StudentsTeachersWhen comparing the shape of the two sets of data, what conclusion can someone draw?

Question illustration
A
The students tend to have fewer siblings than the teachers.
B
The teachers tend to have fewer siblings than the students.
C
Both the students and the teachers have a wide range of siblings.
D
Both sets of data have the same shape.
3

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% prefer social studies. Did he make a reasonable inference?

A
Yes, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, and 28 is 20% of 250.
B
Yes, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, and 28 is 20% of 90.
C
No, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, but 28 is not 20% of 90.
D
No, Mr. Hernandez’s sample is not large enough compared to the population.
4

Administrators surveyed students enrolled in a new school to choose the school mascot. The results are shown in the table below. What is the average number of students that chose grizzlies for both samples?Mascot SurveySample 1Sample 2Ducks12Ducks8Grizzlies24Grizzlies30Lions20Lions22Silverbacks16Silverbacks12

A
18
B
27
C
54
D
72
5

The students in Mr. McIntyre’s class and in Mrs. Ramos’s class were asked how many pets they each have. The dot plots below show the results.Mr. McIntyre’s ClassMrs. Ramos’s ClassWhich statement correctly compares the measures of center of the data in the dot plots?

Question illustration
A
The median is greater for Mr. McIntyre’s class.
B
The median is the same for both classes.
C
The mode is greater for Mrs. Ramos’s class.
D
The mode is the same for both classes.
6

Nia recorded her science and math scores. The measures of center and variation for each score are shown in the table below.Measures of Center and Variationfor Nia’s Science and Math Scores ScienceMathMean6458Median6060Mode6262Range850Mean Absolute Deviation2.414.4Which inferences can be made when analyzing the data summary in the table? Select three choices.

A
Her mean science score is higher than her mean math score.
B
She prefers science over math.
C
There is more variation in her math scores.
D
Her science scores are more spread out than her math scores.
E
Her median scores are the same for each subject.
7

Out of a population of 1,000 students, 80 were asked by a random sampling what color they would prefer for their first car. Their responses are shown in the table below.Car ColorFavorite ColorNumber of StudentsBlue5Red18Gray27Silver14White16Using proportional reasoning, how many students out of the 1,000 would you expect to prefer a silver car?

A
14
B
66
C
175
D
212
8

The box plots show the average speeds, in miles per hour, for the race cars in two different races.Average Speeds of Cars in Race AAverage Speeds of Cars in Race BOne-half of cars travel at which speeds?

Question illustration
A
between 120 and 143 mph in race A; between 125 and 140 mph in race B
B
between 120 and 170 mph in race A; between 125 and 165 mph in race B
C
between 120 and 153 mph in race A; between 125 and 145 mph in race B
D
between 165 and 170 mph in race A; between 150 and 165 mph in race B
9

The heights of the starting players on each of two basketball teams are shown in the table below.Heights of Starters on Team A and Team BTeam A70 in.72 in.75 in.68 in.70 in.Team B71 in.73 in.71 in.72 in.73 in.Jacob found that the mean height of Team A is 71 and the mean height of Team B is 72. He believes that because Team B has a greater mean, it also has a greater mean absolute deviation. Which explains Jacob’s error?

A
One of the means is incorrect, but the reasoning is correct.
B
Both of the means are incorrect, and the reasoning is also incorrect.
C
Both of the means are correct, but the reasoning is incorrect.
D
One of the means is incorrect, and the reasoning is also incorrect.
10

All 150 eighth grade students at a local middle school were asked how many hours they studied during the week. Each row of the table represents one sample from the population. Find the mean of each sample. Population DataRow 165304Row 245356Row 371453Row 442563Which row has the greatest mean?

A
Row 1
B
Row 2
C
Row 3
D
Row 4
11

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

Out of a population of 700 students, 120 were asked by a random sampling to choose the green vegetable they would like to have served in the cafeteria. Their responses are shown in the table below.Cafeteria ChoicesGreen VegetableNumber of Studentspeas34green beans27broccoli23zucchini18brussels sprouts18Using proportional reasoning, about how many students out of the 700 would you expect to request broccoli to be served?

A
23 students
B
30 students
C
105 students
D
134 students
13

Kai, a seventh grader, wants to determine the average number of times the families in his neighborhood visit the pool during the summer. He samples the families of four of his classmates. Which improvements could Kai make to his sample to increase the validity of the results? Select three choices.

A
sample more families
B
sample families that have children who are not in seventh grade
C
sample families that regularly use the pool
D
sample families whose answer to the survey question is predetermined
E
sample families living in every third house in the neighborhood
14

Harold took five different samples of thirty-five randomly selected students from the 520 students he surveyed. The means of the samples are shown below.SampleMeanSample 13.4Sample 23.2Sample 34.1Sample 44.6Sample 53.1The predicted mean of the population will fall between 3.1 and _______.

A
1.5
B
3.4
C
3.7
D
4.6
15

There are 20 classes at each of two middle schools. The number of students in each class at each school is shown in the dot plots below.Number of Students in Each Class at Poplar Middle SchoolNumber of Students in Each Class at Oak Middle SchoolWhat is the difference between the medians in the dot plots?

Question illustration
A
0
B
2
C
3
D
5

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Comparing Box Plots — Unit test Answers — Math 7…