The problem presents two dot plots showing the sprint times of athletes. The upper dot plot represents the times of the top 8 sprinters at the U.S. qualifying meet, and the lower dot plot represents the times in the Olympic final. The question asks which pieces of information can be gathered from these dot plots, remembering that lower sprint times are faster. The available answer option to evaluate is: "The times in the Olympic final were faster on average than the top 8 U.S. qualifier times."

Probability and StatisticsData AnalysisDot PlotsAverage ComparisonStatistical Inference
2025/3/10

1. Problem Description

The problem presents two dot plots showing the sprint times of athletes. The upper dot plot represents the times of the top 8 sprinters at the U.S. qualifying meet, and the lower dot plot represents the times in the Olympic final. The question asks which pieces of information can be gathered from these dot plots, remembering that lower sprint times are faster. The available answer option to evaluate is: "The times in the Olympic final were faster on average than the top 8 U.S. qualifier times."

2. Solution Steps

To determine if the Olympic final times were faster on average than the U.S. qualifier times, we need to compare the general distribution of the data points in the two dot plots.
* Examine the dot plots. The Olympic final times are mostly concentrated between 10.7 and 11.0 seconds. The U.S. qualifier times are mostly concentrated between 11.0 and 11.2 seconds.
* Since lower times are faster, and the Olympic final times are generally lower than the U.S. qualifier times, the Olympic final times were indeed faster on average.

3. Final Answer

The times in the Olympic final were faster on average than the top 8 U.S. qualifier times.

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