PSAT Math Multiple-Choice Practice Question 223

Question: 223

The United States Constitution requires that any candidate for the presidency be at least 35 years of age, although no president to date has been that young. The figure above shows the distribution of the ages of the presidents through 2012 at the time they were inaugurated. Based on the information shown, which of the following statements is true?

Correct Answer: B

Explanation:

B

Difficulty: Easy

Category: Problem Solving and Data Analysis/Statistics and Probability

Getting to the Answer: Quickly read each answer choice. Cross out false statements as you go. Stop when you arrive at a true statement. There is no long "tail" of data on either side, so the shape is not skewed and you can eliminate (A). The shape of the data is symmetric because the data is fairly evenly spread out, with about half of the ages above and half below the median. When the shape of a data set is symmetric, the mean is approximately equal to the median, so (B) is correct. Don't let (D) fool you—the median is 55, not the mean.

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