SAT Math Multiple Choice Question 529: Answer and Explanation

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Test Information

Question: 529

For Against Undecided Total
1L 32 16 10 58
2L 24 12 28 64
3L 17 25 13 55
Total 73 53 51 177

4. A survey is conducted regarding a proposed change in the attendance policy at a law school. The table above categorizes the results of the survey by year of the student (1L, 2L, or 3L) and whether they are for, against, or undecided about the new policy. What fraction of all 1Ls and 2Ls are against the new policy?

  • A.
  • B.
  • C.
  • D.

Correct Answer: A

Explanation:

A

Difficulty: Medium

Category: Problem Solving and Data Analysis / Statistics and Probability

Strategic Advice: When working with two-way tables, always read the question carefully, identifying which pieces of information you need. Here, you need to focus on the "Against" column and the "1L" and "2L" rows. To stay organized, it may help to circle these pieces of information in the table.

Getting to the Answer: There are 58 1Ls and 64 2Ls in the survey sample, for a total of 58 + 64 = 122 1Ls and 2Ls. There are 16 1Ls and 12 2Ls against the policy, for a total of 16 + 12 = 28. This means that 28 out of the 122 1Ls and 2Ls are against the new policy. Written as a fraction, this is which reduces to

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