PSAT Math Multiple-Choice Practice Question 233

Question: 233

In a 2010 poll, surveyors asked registered voters in four different New York voting districts whether they would consider voting to ban fracking in the state. Hydraulic fracturing, or “fracking,” is a mining process that involves splitting rocks underground to remove natural gas. According to ecologists, environmental damage can occur as a result of fracking, including contamination of water. The results of the 2010 survey are shown in the following table.

In Favor of BanAgainst BanNo OpinionTotal
District A23,24717,1063,50943,862
District B13,02412,7602,11727,901
District C43,22849,1255,89198,244
District D30,56329,7713,20563,539
Total110,062108,76214,722233,546

According to the data, which district had the smallest percentage of voters with no opinion on fracking?

Correct Answer: D

Explanation:

D

Difficulty: Easy

Category: Problem Solving and Data Analysis/Statistics and Probability

Getting to the Answer: To calculate the percentage of the voters in each district who had no opinion on fracking, divide the number of voters in that district who had no opinion by the total number of voters in that district. Choice (D) is correct because 3,205 ÷ 63,539 ≈ 0.05 = 5%, which is a lower percentage than in the other three districts that were polled (District A = 8%; District B = 7.6%; District C = 6%).

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