7
QuizMultiple Choice

Measures of Center and Location — Quiz

Question 7 • Statistical Reasoning

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

Explanation

An approximately normal distribution is roughly symmetric around its center. For a symmetric, bell-shaped distribution, the mean and median are approximately equal. The youngest and oldest ages describe the range, but they do not change this relationship, so the mean and median are approximately equal.

AI-written and checked against the verified answer.

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