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?

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!