4
QuizMultiple Choice

Measures of Center and Location

Question 4 • Mathematics for College Liberal Arts Sem 1 (1207350) BCPS 2025-26

The distribution of ages of runners in a marathon is approximately normal. The oldest participant was 80 and the youngest was 13. Which of the following statements is true of the mean and median ages of the runners?

Answer
A
The mean is less than the median.
B
The mean is greater than the median.
C
The mean and median are approximately equal.
D
The actual ages of all runners are needed to decide.

Explanation

An approximately normal distribution is roughly symmetric around its center. For a symmetric distribution, the mean and median are approximately equal. The oldest and youngest ages give the range, but they do not change this conclusion.

AI-written and checked against the verified answer.

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