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Problem-Solving and Data Analysis / Probability and conditional probability Difficulty: Easy

A survey taken by 1,000 students at a school asked whether they played school sports. The table below summarizes all 1,000 responses from the students surveyed.

The figure presents a 3-column table with 2 rows of data. The first column has no heading. The heading for the second column is “Males,” and the heading for the third column is “Females.” The data are as follows. Row 1. Play a school sport: Males, 312; Females, 220. Row 2. Do not play a school sport: Males, question mark; Females, 216.

How many of the males surveyed responded that they do not play a school sport?

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Explanation

Choice B is correct. The table summarizes all 1,000 responses from the students surveyed. If 312 are males who play a sport, 220 are females who play a sport, and 216 are females who do not play a sport, then 1,000 – 312 – 220 – 216 = 252 males who do not play a sport.

Choices A, C, and D are incorrect. If 109 males who do not play a sport responded, then the table summary would be 109 + 312 + 220 + 216 = 857 total student responses rather than 1,000. If 468 males who do not play a sport responded, then the table summary would be 468 + 312 + 220 + 216 = 1,216 total student responses rather than 1,000. If 688 males who do not play a sport responded, then the table summary would be 688 + 312 + 220 + 216 = 1,436 total student responses rather than 1,000.