To analyze the box-and-whisker plots and answer the questions, I’ll examine each question carefully using the provided visual data.

Box-and-Whisker Plot Analysis:

• Class A:
  • Median: ~75
  • Interquartile Range (IQR): The box (spanning Q1 to Q3) is smaller, showing less spread between the middle 50% of the scores.
  • Highest score: ~95
• Class B:
  • Median: ~70
  • Interquartile Range (IQR): The box is larger, indicating a greater spread in the middle 50% of scores.
  • Highest score: ~90

Answers:

1. (a) Which class had a higher median test score?

   • Answer: Class A (Median ~75 is higher than Class B’s ~70).

2. (b) Which class had test scores with a larger interquartile range (IQR)?

   • Answer: Class B (The box is larger, indicating a greater IQR).

3. (c) Which class had the highest test score?

   • Answer: Class A (Highest score ~95, compared to Class B’s ~90).

4. (d) A score above 70 is considered passing. Which class had more passing scores?

   • Answer: Class A (The lower whisker ends above 70, and most scores are concentrated above 70. For Class B, many scores fall below 70).

Let me know if you need more explanation!

Here are 5 related questions to extend your understanding:

1. What is the interquartile range (IQR) of Class A and Class B?
2. How can you determine outliers using a box-and-whisker plot?
3. What does the range of scores tell us about the variability in each class?
4. If the mean score were calculated, which class would likely have a higher mean?
5. How does the boxplot visually summarize the spread and central tendency of data?

Tip: In boxplots, the IQR (length of the box) measures the middle 50% of the data, while whiskers represent the overall range.