AnswersCommon Core Math 7 - MA3107 CRSampling Methods

Sampling Methods Answers

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5
50 students in the art club
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40 girls on her soccer team
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2 students from each of the 15 classes
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10 students from each of the 3 computer electives
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Kari plans to sample 20 people of a population that contains 100 students. She wants to determine how many people wake up before 6 a.m. Which sample is the most random?

A
the first 20 students who arrive at school in the morning
B
all 20 boys on the swim team
C
5 students out of each of the 4 homeroom classes
D
the last 20 people in line for breakfast in the cafeteria
3

Lamont designs a survey of town residents in an attempt to predict who will be elected mayor. He chooses his sample of 500 people from the town’s 40,000 residents by asking his question to every person leaving the public library on a Saturday. Which suggestion would most improve Lamont’s random sample?

A
Lamont should sample only adults.
B
Lamont should sample only registered voters.
C
Lamont should decrease the sample size.
D
Lamont should ask every fifth person.
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T
The representative sample contained all 160 students.
T
The representative sample contained more boys than girls.
T
The representative sample contained more girls than boys.
T
The representative sample contained an equal number of boys and girls.
5

The chart below shows the distribution of weeds in a yard. A lawn-care specialist chooses a random sample from the yard and determines the number of weeds in the sample. The results of the sample are shown in the table below.Weed TypeNumberDandelion2Clover3Crab Grass2Chickweed2Which explains whether or not this is a representative sample?

Question illustration
Y
Yes, this is a representative sample because each type of weed is represented in the sample.
Y
Yes, this is a representative sample because each type of weed is represented approximately the same number of times in the sample.
N
No, this is not a representative sample because each type of weed should be represented in proportion to the number of weeds actually present in the yard.
N
No, this is not a representative sample because each type of weed should be represented exactly the same number of times in the sample.
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T
The sample size is not large enough to represent the population.
T
The sample was not chosen at random.
T
The way the sample was chosen may overrepresent or underrepresent students taking certain language classes.
T
The way the sample was chosen does not sample students from each different language class.
7

Samantha and Luis are attempting to determine the average number of library books that seventh-grade students check out at one time. Samantha surveys every other seventh grade student leaving the library. She samples a total of 40 of the 200 seventh graders. Luis samples 30 of the 200 seventh grade students at random in the school cafeteria. Whose sample is the most random?

A
Luis because his sample is taken from the population of all seventh graders
B
Luis because he samples fewer students
C
Samantha because she samples more students
D
Samantha because her sample is taken from the population of students who use the library
8

The chart below shows the distribution of the number of books in a library.Sahira chooses a random sample from the library and records the type of books in the chart below.Type of BookNumberFantasy10Literature25Children’s4Nonfiction11Which explains whether or not Sahira’s sample is representative?

Question illustration
N
No, it is not representative because literature books were chosen much more often than the other types.
Y
Yes, it is representative because each type of book was chosen a unique number of times.
Y
Yes, it is representative because each type of book was represented in the approximate proportion that exists in the library.
Y
Yes, it is representative because each type of book was selected as part of the sample.
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best

N
Nathan’s because his sample was more random
J
Jordan’s because his sample was more random
N
Nathan’s because his sample contained elements of the population
J
Jordan’s because his sample contained elements of the population
10

most

T
The representative sample contained all 200 tourists.
T
The representative sample contained more adults than children.
T
The representative sample contained more children than adults.
T
The representative sample contained an equal number of adults and children.

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Sampling Methods Answers — Common Core Math 7 …