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Math Problems
Grade 6
Identify representative, random, and biased samples
Without looking, Eddie flipped to a page in the phone book and called a number from that page. Repeating that approach, he called
643
643
643
phone numbers from the phone book.
\newline
Is this sample of the phone numbers in the phone book likely to be representative?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
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Ian surveyed the
17
17
17
employees at the company with over a decade of experience.
\newline
Is this sample of the employees at the company likely to be representative?
\newline
Choices:
\newline
(A)yes
\newline
(B)no
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The librarian interviewed the
247
247
247
patrons who spent the most time at the library last year.
\newline
Is this a random sample of the library patrons?
\newline
Choices:
\newline
(A)yes
\newline
(B)no
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Shawna sent an e-mail to everyone planning to attend the Casey family reunion and gave them the chance to vote on the reunion location.
7
7
7
of them took the time to e-mail back with their votes.
\newline
Is this a random sample of the people planning to attend the reunion?
\newline
Choices:
\newline
(A)yes
\newline
(B)no
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Sidney interviewed
25
25
25
students in each grade. Each grade has an equal number of students.
\newline
Is this sample of the students in the school likely to be representative?
\newline
Choices:
\newline
(A)yes
\newline
(B)no
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Tom put on a blindfold and picked
47
47
47
jelly beans from a jar.
\newline
Is this a random sample of the jelly beans in the jar?
\newline
Choices:
\newline
(A)yes
\newline
(B)no
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Ava put the names of all the conference attendees into a hat. Then, she drew
42
42
42
names out of the hat.
\newline
Is this a random sample of the conference attendees?
\newline
Choices:
\newline
(A)yes
\newline
(B)no
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Rose did
95
95
95
random math problems from each math book in her library. Each math book in the library has an equal number of problems.
\newline
Is this sample of the math problems in the library likely to be representative?
\newline
Choices:
\newline
(A)yes
\newline
(B)no
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Jamal surveyed a random sample of college students in Texas about whether they own a desktop computer. The results of the survey are most representative of which of the following populations?
\newline
Choose
1
1
1
answer:
\newline
(A) College students in Texas
\newline
(B) College students in the US
\newline
(C) High school students in Texas
\newline
(D) High school students in the US
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Choose
1
1
1
answer:
\newline
(A)
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The bowling team at Lincoln High School must choose a president, vice president, and secretary. If the team has
11
11
11
members, how many ways could the officers be chosen?
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Answer:
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The bowling team at Lincoln High School must choose a president, vice president, and secretary. If the team has
9
9
9
members, how many ways could the officers be chosen?
\newline
Answer:
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Arianys made
5
%
5 \%
5%
of her free throws over the season. If she shot
160
160
160
free throws, how many did she make?
\newline
Answer:
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400
400
400
students attend Ridgewood Junior High School.
2
2
2
\% of students bring their lunch to school everyday. How many students brought their lunch to school on Thursday?
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Answer:
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Maya scored
32
32
32
out of
40
40
40
for a Maths test and
41
41
41
out of
55
55
55
for a Science test. For which test did she score a lower percentage?
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