Multiple Samples Answers

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Student representatives surveyed their classmates on their preference of a school mascot for a new school. The results are shown in the table below. Which pair of samples seems most representative of student preference?Mascot SurveySample 1Sample 2Sample 3Artichokes15Artichokes0Artichokes3Bears28Bears53Bears48Citizens17Citizens7Citizens9

A
Sample 1 and sample 2 are most representative because there is less difference between the numbers of students that chose each mascot.
B
Sample 2 and sample 3 are most representative because the relationship between preferences is consistent.
C
Sample 1 and sample 3 are most representative because 0 should not appear in a sample.
D
None of the samples are representative because none of the values remained constant.
6

Eldrick manages wildlife samples for Ducks Unlimited. Two samples of duck populations at a migratory site are shown in the table below. Which statement about the samples is true?Duck Pond SamplesSample 1Sample 2Mallard21Mallard8Wood Duck4Wood Duck17Green Wing Teal9Green Wing Teal15American Widgeon6American Widgeon0

A
Eldrick can use both of these samples to find the mean frequency of each duck.
B
Eldrick should take another sample because there is too much variability in the two samples.
C
Eldrick should use only the first sample to find the mean frequency of each duck.
D
Eldrick should use only the second sample to find the mean frequency of each duck.
7

Abigail wants to determine which time of day people prefer to exercise. She will collect three samples. Which statements describe good methods for collecting the samples? Select three options.

A
Go to the gym in the morning to survey the people entering because it is likely they will exercise.
B
Go to a local mall and survey people because a variety of people go to the mall.
C
Go to a grocery store and survey people because almost everyone shops for groceries.
D
Survey the students in third grade because little kids love to run around and play.
E
Survey people at different times of the day to ensure she reaches people on different schedules.
8

Josiah kept track of how many songs of each genre were played in an hour from his MP3 player. The counts are displayed in the table below. He has a total of 1,500 songs on his player. Josiah predicted the number of rock songs on his MP3 player to be 300 songs. Which statements about his solution are true? Select three choices.Josiah’s MusicSample 1Sample 2R & B5R & B4Pop4Pop3Classical3Classical5Jazz2Jazz4Rock6Rock4Josiah’s work:

Question illustration
A
He should have found the average of the number of rock songs by averaging 4 and 6 to get 5.
B
He did not multiply the numerator and denominator by the correct number to equal 1,500.
C
His answer will be one-half of what he got because he did not divide 10 by 2 when setting up the proportion.
D
He can only solve the proportion by multiplying the numerator and denominator by a common multiple.
E
He should have multiplied the numerator and denominator by 75, not 30, because .
Option E
9

The owner of a local restaurant surveyed her staff on their preference of uniform color. The results are displayed in the table below. Which pair of samples is most representative of the preference of all the staff?Uniform Color SurveySample 1Sample 2Sample 3Beige3Beige12Beige7Blue7Blue5Blue15Black10Black3Black18

A
Sample 1 and sample 2 are most representative because they are the same size.
B
Sample 1 and sample 3 are most representative because the relationship between preferences is consistent.
C
Sample 2 and sample 3 are most representative because the samples show a greater variability in preferences.
D
None of the samples are representative because none of the values remained constant.
10

DeWayne wants to find out what career his fellow middle school students would like to pursue. He plans to collect three samples. Which statements describe good methods for collecting the samples? Select two options..

A
Interview students at lunch because it is likely that students with different interests will be present.
B
Interview students in the art club because they are creative and will come up with fun answers.
C
Interview students in the robotics club because they are focused on academics and concerned about their future.
D
Interview students in English class because everyone has to take English, and he can reach a variety of students.
E
Interview students and provide only four choices so that the data does not get complicated.

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