https://file.aiquickdraw.com/mathbot/file/1729129060811nddwdf9y.jpg

Let's break down the information from the box plots in the image:

1. **US Qualifier Box Plot (top):**
   - The box plot is centered around the 7.8–8.0 meters range.
   - The minimum is slightly below 7.7 meters, and the maximum reaches about 8.1 meters.
   - The range (distance between minimum and maximum values) is relatively tight.

2. **Olympics Box Plot (bottom):**
   - The box plot is centered around the 7.9–8.3 meters range.
   - The minimum is around 7.8 meters, and the maximum exceeds 8.4 meters.
   - The spread is much wider than in the US Qualifier box plot.

Now, let's evaluate the answer choices based on this comparison:

- **A: The Olympic jumps were farther on average than the U.S. qualifier jumps.**
   - **True**. The median (the line inside the box) for the Olympic jumps is higher than that for the U.S. qualifiers, indicating that on average, Olympic jumps were farther.

- **B: All of the Olympic jumps were farther than all of the U.S. qualifier jumps.**
   - **False**. The lower whisker (minimum) of the Olympic box plot overlaps with the upper whisker (maximum) of the U.S. qualifier box plot, so there are jumps in the U.S. qualifiers that were farther than some of the Olympic jumps.

- **C: The Olympic jumps vary noticeably more than the U.S. qualifier jumps.**
   - **True**. The range of the Olympic jumps is larger (from around 7.8 to 8.4 meters) compared to the U.S. qualifier jumps, which have a smaller spread (from around 7.6 to 8.1 meters).

- **D: None of the above.**
   - **False**. Since we have determined that A and C are true, this cannot be the correct answer.

### Correct Answers: A and C

Would you like more details on how box plots represent data, or do you have any other questions?

Here are 5 relative questions to expand on this:

1. What does the interquartile range (IQR) in a box plot represent, and how does it help compare datasets?
2. How can outliers in box plots influence the interpretation of data distributions?
3. In what situations might a wider range in a box plot be misleading when comparing data sets?
4. Can you explain how to interpret the median and quartiles in a box plot?
5. What other types of visual representations could help compare the U.S. qualifier and Olympic data?

**Tip:** When comparing box plots, always check for overlapping ranges to see if there's any common ground between the two data sets.

Which pieces of information can be gathered from these box plots?

This problem compares long jump results from the U.S. qualifiers and the 2012 Olympic Games using box plots. Analyze the data to determine average distances and variability. Suitable for students in Grades 9-12 studying statistics and data visualization.

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