AnswersTX-Advanced Quantitative ReasoningPresidential Election of 1860

Multiple Samples Answers

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Louden County Wildlife Conservancy counts butterflies each year. Data over the last three years regarding four types of butterflies are shown below. What inference can be made about the butterflies in Louden County from the samples?Louden County Butterfly Count200920102011Meadow Fritillary5Meadow Fritillary34Meadow Fritillary14Variegated Fritillary7Variegated Fritillary95Variegated Fritillary63Zebra Swallowtail33Zebra Swallowtail21Zebra Swallowtail10Eastern-Tailed Blue242Eastern-Tailed Blue168Eastern-Tailed Blue170

A
All butterfly populations are steadily decreasing.
B
All butterfly populations were larger than usual in 2010.
C
The Eastern-Tailed Blue butterfly is more common than the others.
D
The Meadow Fritillary is equally common as the Variegated Fritillary.
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The table displays the number of butterflies collected in a sample over three years. What inferences can be made from the samples taken on butterfly populations? Select three choices.Louden County Butterfly CountYear 1Year 2Year 3Zebra Swallowtail21Zebra Swallowtail10Zebra Swallowtail10Viceroy3Viceroy4Viceroy3Painted Lady2Painted Lady0Painted Lady16Monarch82Monarch52Monarch57

A
The average number of monarchs over all three samples is less than the number of monarchs counted in year 3.
B
The Viceroy population remained fairly steady over the three years recorded.
C
The average number of Zebra Swallowtails over all three samples will be less than the number recorded in year 1.
D
If a population is increasing over time, the average will be less than the most recent count.
E
There was a mistake in the sample for year 3 as the Painted Ladies were extinct in year 2.
3

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
4

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.
5

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.
6

Ducks Unlimited helps sample duck species across the United States. Samples from one particular location for the last two years are shown below. Which duck population seemed to hold steady?Duck Pond Samples20102011Mallard58Mallard73Wood Duck11Wood Duck12Green Wing Teal19Green Wing Teal34American Widgeon24American Widgeon29

A
American Widgeon
B
Green Wing Teal
C
Mallard
D
Wood Duck
7

Braden wants to compare the types of ducks in two nearby ponds. He collected two samples using the following criteria. For sample 1, he counted the types of ducks on Walden Pond from 6 A.M. to 9 A.M. For sample 2, he counted the number of Mallard ducks that were on Brook’s Pond from 12 P.M. to 3 P.M. What would improve Braden’s plan? Select three options.

A
Braden should sample the ducks on each pond at the same time of day because animals are active at different times.
B
Braden should sample twice at each pond if he wants to make sure each sample is representative of the population.
C
Braden should count more than Mallard ducks on Brook’s Pond if he wants to compare the types of ducks on each pond.
D
Braden should only count Mallard ducks on Walden Pond so he counts the same types of ducks as he does at Brook’s pond.
E
Braden should include herons and geese in his samples because they also like ponds.
8

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.
9

The table below shows the population of different duck species at a local pond. Which term best describes the total number of Mallards in the pond?Duck Pond SamplesSample 1Sample 2Mallard13Mallard12Wood Duck4Wood Duck2Green Wing Teal6Green Wing Teal6American Widgeon2American Widgeon5

A
Mallard population
B
duck population
C
proportion of Mallards
D
sample of Mallards
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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