https://file.aiquickdraw.com/mathbot/file/1726813199126b49y708f.jpg

This is a box plot accompanied by a series of questions asking about the percentage of data values within certain ranges. Let's analyze the box plot first:

- The minimum value is 8, and the maximum value is 20.
- The quartiles (from the plot):
  - The first quartile (Q1) is at approximately 11.
  - The median (Q2) is at approximately 14.5.
  - The third quartile (Q3) is at approximately 17.

### Question Breakdown:
1. **What percentage of the data is between 8 and 9?**
   - Since the minimum starts at 8 and the box plot suggests that this range covers the whisker before the first quartile, this would represent a very small portion of the data, typically 0%–25%. However, since 9 is far from the first quartile, **this is closer to 0%**.

2. **What percentage of the data is between 9 and 17?**
   - The range from 9 to 17 covers all values from the first quartile (Q1) to the third quartile (Q3). This represents **50% of the data**.

3. **What percentage of the data is between 17 and 18?**
   - The range between 17 (the third quartile) and 18 covers part of the whisker leading to the maximum, representing **25%** of the data, but only a fraction of this portion is between 17 and 18, likely around **12.5%**.

4. **What percentage of the data is between 18 and 20?**
   - The range from 18 to 20 covers the last segment of the whisker leading up to the maximum. This would also cover **around 12.5%** of the data.

### Filled Out:
- **0%** of the data values are between 8 and 9.
- **50%** of the data values are between 9 and 17.
- **12.5%** of the data values are between 17 and 18.
- **12.5%** of the data values are between 18 and 20.

Let me know if you need further clarification!

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Here are 5 related questions:
1. What does the interquartile range (IQR) tell us about the spread of the middle 50% of the data?
2. How does a box plot help in identifying outliers?
3. How would you calculate the mean from a box plot?
4. What is the significance of the whiskers in a box plot?
5. How can a box plot help in comparing two different datasets?

**Tip:** The interquartile range (IQR) can be used to identify potential outliers using the formula: \([Q1 - 1.5 \times IQR, Q3 + 1.5 \times IQR]\).

Analyze a box plot and determine percentages of data in specific ranges (8 to 9, 9 to 17, 17 to 18, and 18 to 20).

Analyze the distribution of data values using a box plot. Learn how to determine the percentage of data between specific ranges, including 8 to 9, 9 to 17, 17 to 18, and 18 to 20. Suitable for students in Grades 9-12.

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