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Question 10 of 30

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M:C:MC:SET:1A

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PSAT 10

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Problem Solving and Data Analysis

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Questions 10 and 11 refer to the following information.

A survey was conducted among a randomly chosen sample of U.S. citizens about U.S. voter participation in the November 2012 presidential election. The table below displays a summary of the survey results.

Reported Voting by Age (in thousands)
 VotedDid Not VoteNo ResponseTotal
18- to 34-year-olds30,32923,2119,46863,008
35- to 54-year-olds47,08517,7219,47674,282
55- to 74-year-olds43,07510,0926,83159,998
People 75 years old and over12,4593,5081,82717,794
Total132,94854,53227,602215,082

According to the table, for which age group did the greatest percentage of people report that they had voted?

Select an Answer

18- to 34-year-olds

Correct Answer: 
No

35- to 54-year-olds

Correct Answer: 
No

55- to 74-year-olds

Correct Answer: 
Yes

People 75 years old and over

Correct Answer: 
No

View Correct Answer

Choice C is the correct answer. The first question asks students to select the relevant information from the table to compute the percentage of self-reported voters for each age group and then compare the percentages to identify the largest one, choice C. Of the 55- to 74-year-old group’s total population (59,998,000), 43,075,000 reported that they had voted, which represents 71.8% and is the highest percentage of reported voters from among the four age groups.

Choice A is not the correct answer. The question is asking for the age group with the largest percentage of self-reported voters. This answer reflects the age group with the smallest percentage of self-reported voters. This group’s percentage of self-reported voters is 48.1%, or fraction numerator 30 comma 329 over denominator 63 comma 008 end fraction, which is less than that of the 55- to 74-year-old group.

Choice B is not the correct answer. The question is asking for the age group with the largest percentage of self-reported voters. This answer reflects the age group with the largest number of self-reported voters, not the largest percentage. This group’s percentage of self-reported voters is 63.4%, or fraction numerator 47 comma 085 over denominator 74 comma 282 end fraction, which is less than that of the 55- to 74-year-old group.

Choice D is not the correct answer. The question is asking for the age group with the largest percentage of self-reported voters. This answer reflects the age group with the smallest number of self-reported voters, not the largest percentage. This group’s percentage of self-reported voters is 70.0%, or fraction numerator 12 comma 459 over denominator 17 comma 794 end fraction which is less than that of the 55- to 74-year-old group.

Question Difficulty: 
easy
Objective: 

Students must conceptualize the context and retrieve relevant information from a table, and then manipulate it to form or compare relevant quantities.