The problem presents two box plots representing the distances achieved by women's discus throwers. The first box plot represents the distances of the top 12 women's discus throwers at the U.S. qualifying meet, and the second represents the distances of the top 11 women's discus throwers at the 2012 Olympic final. The problem likely requires us to compare these distributions, but the exact question is missing. However, based on the chapter "Comparing distributions" and the information given from the boxplots, a suitable prompt would be to compare the medians of the two distributions.

1. Problem Description

The problem presents two box plots representing the distances achieved by women's discus throwers. The first box plot represents the distances of the top 12 women's discus throwers at the U.S. qualifying meet, and the second represents the distances of the top 11 women's discus throwers at the 2012 Olympic final. The problem likely requires us to compare these distributions, but the exact question is missing. However, based on the chapter "Comparing distributions" and the information given from the boxplots, a suitable prompt would be to compare the medians of the two distributions.

2. Solution Steps

We need to determine the medians of the two box plots.

The median is represented by the vertical line within the box of a box plot.

For the U.S. qualifier, the median is approximately 59 meters.

For the Olympic final, the median is approximately 63 meters.

The difference in the medians is $63 - 59 = 4$ meters.

Therefore, the median distance in the Olympic final is approximately 4 meters greater than that in the U.S. qualifier.

3. Final Answer

Olympic final median - U.S. qualifier median = 4 meters