PSAT Math Multiple-Choice Question 266: Answer and Explanation

Question: 266

The test scores in a class are 82, 83, 84, 84, 85, 86, 88, 89, 90. The last test is a score of 105. Compare the mean and median before and after the last test score is included.

• A. The mean and median increase.
• B. The mean and median decrease.
• C. The mean increases, and the median does not change.
• D. The mean decreases, and the median does not change.

Correct Answer: A

Explanation:

The correct solution is the mean and median increase. The test score of 105 increases the mean from 85.67 to 87.6 and increases the median from 85 to 85.5. See Lesson: Interpreting Categorical and Quantitative Data.