PSAT Math Grid-Ins Question 83: Answer and Explanation
Question: 83
The PTA is planning to sponsor a cultural arts day at school. It asked 200 randomly selected students what the focus of the day should be. Of those students asked, 42 recommended having a speaker, 48 asked for an art display, 60 wanted to taste foods from around the world, and the rest said they would like to watch cultural movies. If there are 1,260 students in the school, about how many would you expect to want to watch cultural movies?
Correct Answer: 315
Explanation:
315
Difficulty: Medium
Getting to the Answer: When making inferences about populations based on data from a random, representative sample, find the percent of the sample data that matches the given criterion and multiply by the total population. Of the 200 students in the sample, 200 - 42 - 48 - 60 = 50 students said they would like to watch cultural movies. This represents 
, or 25%. Multiply 0.25 × 1,260 to arrive at 315 students. Grid in 315.
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