AnswersMath 7 B M12 2526 S2Comparing Box Plots

Comparing Box Plots — Unit test Answers

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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.
2
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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
3

Vickie conducts a survey of home builders to determine the average cost of building a new home. She samples 10 home builders who are building in the town in which she lives. Under which conditions will her sample be a representative sample? Select two options.

A
The builders were chosen at random.
B
The population included only builders who build in Vicki’s town.
C
The population included builders who build homes in any town.
D
The population included builders who do not build homes in Vicki’s town.
E
The builders were referred to Vicki by the realtor who will be selling the houses.
4

The box plots show the weights, in pounds, of animals at two different zoos.Animals in City ZooAnimals in Country ZooWhat is the difference between the median weights of the animals in City Zoo and in Country Zoo, in pounds?

Question illustration
A
2
B
5
C
10
D
15
5

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.
6

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
7

Louden County Wildlife Conservancy counts butterflies each year. Data over the last three years regarding four types of butterflies are shown below. What is the average number of Variegated Fritillaries for all three samples?Louden County Butterfly Count200920102011Meadow Fritillary5Meadow Fritillary34Meadow Fritillary14Variegated Fritillary7Variegated Fritillary95Variegated Fritillary63Zebra Swallowtail33Zebra Swallowtail21Zebra Swallowtail10Eastern-Tailed Blue242Eastern-Tailed Blue168Eastern-Tailed Blue170

A
55
B
83
C
106
D
165
8

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
9

Geraldo wants to start a group bike ride on Sunday mornings for students at his school. He asked 30 students in the lunchroom how many miles they ride their bikes each month. He obtained the following results.8, 3, 0, 1, 2, 3, 6, 3, 0, 4, 13, 1, 3, 12, 15, 2, 1, 3, 2, 2, 0, 3, 4, 2, 6, 7, 12, 8, 4, 0The fraction shows the ratio of the number of students who ride their bikes more than 10 miles each month to the number of students surveyed. What is the value of x?

Question illustration
A
2
B
3
C
4
D
5
10

When is choosing a sample from a population least likely to be appropriate? Select two options.

A
when the population is small
B
when the population is large
C
when the sample contains proportions of items/events/people that are different from those of the population
D
when the sample contains only items/events/people that reflect the population
E
when surveying the entire population is time consuming
11

The student government at the local middle school surveyed students to help plan the end-of-year party. For the first sample, they surveyed every other person at sports practice after school. For the second sample, they surveyed every fifth person entering the cafeteria where all students eat. Which statement about the samples is true?End-of-Year Party SurveySample 1Sample 2Water Park21Water Park36Bowling/Arcade36Bowling/Arcade28Zoo16Zoo24Dance & Dinner27Dance & Dinner12

A
Sample 1 is biased.
B
Sample 2 is biased.
C
Both samples are biased.
D
Neither sample is biased.
12

These plots show the number of kilometers a group of students at Middleton Middle School and at Westwood Middle School travel to get to school each day. Number of Kilometers Middleton and Westwood Students Travel to SchoolThe shapes of which plots, if any, show an outlier?

Question illustration
A
both Middleton and Westwood
B
Middleton only
C
Westwood only
D
neither Middleton nor Westwood
13

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.
14

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.
15

Denise and Sandra are playing a target game. The object of the game is to get an object as close to the center as possible. Each player’s score is the number of inches away from the center. Their scores are shown below.Denise’s scores: 112, 116, 125, 119, 131Sandra’s scores: 124, 120, 110, 126, 118Which explains who is winning the game?

A
Denise is winning because she has the greater mean.
B
Denise is winning because she is generally closer to the center.
C
Sandra is winning because she has the greater mean.
D
Sandra is winning because she is generally closer to the center.

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