https://file.aiquickdraw.com/mathbot/file/1731114459946fsx2kdtv.jpg

Let's analyze each question using the box-and-whisker plot provided for Classes A and B.

### Observations from the Plot
- **Class A**: 
  - Has a higher median score (around 80).
  - The range seems broader, with lower whiskers extending towards lower values (around 60) and upper whiskers going closer to 95.
  - Interquartile range (IQR) appears larger than Class B.

- **Class B**:
  - Has a lower median score (around 75).
  - The spread or range is narrower, indicating a smaller IQR.
  - Highest score appears slightly lower than Class A’s maximum.

### Question Analysis
1. **(a) A score above 70 is considered passing. Which class had more passing scores?**
   - Since Class A has a higher median (around 80), most of its scores likely fall above 70. Class B, with a median closer to 75, might have fewer scores above 70. **Answer: Class A**.

2. **(b) Which class had test scores with a larger interquartile range (IQR)?**
   - Class A's box (IQR) is wider than Class B’s, indicating a larger interquartile range. **Answer: Class A**.

3. **(c) Which class had the highest test score?**
   - Class A's upper whisker extends to a slightly higher score than Class B’s. **Answer: Class A**.

4. **(d) Which class had a higher median test score?**
   - The median line in Class A’s box is higher (around 80) compared to Class B (around 75). **Answer: Class A**.

Would you like further details or clarification on any part?

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### Additional Related Questions
1. How is the interquartile range (IQR) calculated using a box plot?
2. What does a box plot reveal about the distribution of data?
3. Why is the median a useful measure when analyzing box plots?
4. How can we identify outliers in a box plot?
5. What does a wider spread in the box plot imply about the variability in scores?

#### Tip:
Box plots are excellent for quickly comparing medians, ranges, and variability in different datasets!

Two history classes with the same number of students took a final exam. The box-and-whisker plots below (sometimes called boxplots) summarize the test scores for each class. Use the box-and-whisker plots to answer the following questions:

(a) A score above 70 is considered passing. Which class had more passing scores?
(b) Which class had test scores with a larger interquartile range (IQR)?
(c) Which class had the highest test score?
(d) Which class had a higher median test score?

Explore how to interpret box-and-whisker plots by comparing test scores of two history classes. This problem covers important statistical concepts like interquartile range, median, and data spread, making it suitable for students in Grades 6-8.

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