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The image contains box-and-whisker plots showing the distribution of ages for visitors to an amusement park on two separate days. Here's the analysis based on the plots:

- **Day 1**: The range (whiskers) of ages for visitors appears to be from about 12 to 40 years. The interquartile range (IQR), which is represented by the box, spans from around 16 years (lower quartile) to about 28 years (upper quartile). This means half of the visitors' ages on Day 1 fall between 16 and 28 years.
  
- **Day 2**: The range of ages for visitors is approximately from 16 to 50 years. The IQR is between 20 years (lower quartile) and 32 years (upper quartile), meaning half of the visitors' ages on Day 2 fall between 20 and 32 years.

Now, let's check the two statements:

1. **First statement**: Half of the visitors on Day 1 are between 12 and 28 years old, and half of the visitors on Day 2 are between 16 and 20 years old.  
   - This statement is **incorrect**. Half of the visitors on Day 1 are not between 12 and 28 years old (the IQR starts at 16, not 12). Also, half of the visitors on Day 2 are between 20 and 32 years old, not between 16 and 20.

2. **Second statement**: Half of the visitors on Day 1 are between 12 and 22 years old, and half of the visitors on Day 2 are between 16 and 24 years old.  
   - This statement is also **incorrect**. Half of the visitors on Day 1 are between 16 and 28 years, and half of the visitors on Day 2 are between 20 and 32 years, so this statement doesn't accurately describe either day's data.

Both statements provided are false based on the data shown in the box-and-whisker plots.

Would you like more details or have any other questions?

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Here are five related questions for further understanding:

1. How can the interquartile range (IQR) help identify age distributions in box plots?
2. What does the median tell us in a box-and-whisker plot?
3. How can outliers be identified using a box-and-whisker plot?
4. What is the difference between the range and the interquartile range (IQR)?
5. How could visitor age data influence amusement park attraction planning?

**Tip**: When analyzing box-and-whisker plots, remember that the box represents the middle 50% of the data, and the whiskers represent the overall range (excluding outliers).

Which statement is true based on the box-and-whisker plots showing visitor ages on Day 1 and Day 2 at the amusement park?

Learn how to interpret box-and-whisker plots based on the ages of amusement park visitors. This example problem examines data distributions on Day 1 and Day 2, covering concepts like interquartile range (IQR) and median. Suitable for students in Grades 6-8.

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