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PSAT Math Multiple-Choice Practice Question 384

Question: 384

FrenchGermanItalianJapaneseTotal
Freshmen3422614891031,195
Sophomores27619932454853
Juniors19010825229579
Seniors1589721924498
Total9666651,2842103,125

A group of 150 freshmen were randomly selected for a survey that asked whether they were excited to continue their foreign language studies in the next school year. Of this group, 93 said they were excited to continue, 37 said they were not excited to continue, and 20 said they did not know yet whether they were excited to continue. Using the data from this survey and the table, which of the following is most likely a valid conclusion?

Correct Answer: D

Explanation:

D

Difficulty: Medium

Category: Surveys and Data Samples

Strategic Advice: Find what you need about the group from the follow-up survey. Then, extrapolate to see which answer choice matches your calculations.

Getting to the Answer: First, determine the number of freshmen who fall into each of the three groups of the follow-up survey:

Percent excited to continue:

Percent not excited to continue:

Percent who do not know yet whether they are excited to continue:

There are 1,195 freshmen in the original survey, making the number excited to continue 0.62 × 1,195 = 740.9 ≈ 741; the number not excited to continue 0.2467 × 1,195 = 294.8 ≈ 295; and the number who do not know yet whether they are excited to continue 0.1333 × 1,195 = 159.3 ≈ 159. Choice (D) states that about 740 freshmen are excited to continue their foreign language studies, which matches these findings. Choice (D) is therefore correct.

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