1. **State the problem:** We are comparing two classes' test scores using box-and-whisker plots to answer questions about interquartile range (IQR), range, highest score, and median. 2. **Recall definitions:** - The **interquartile range (IQR)** is the difference between the third quartile (Q3) and the first quartile (Q1): $$\text{IQR} = Q3 - Q1$$ - The **range** is the difference between the maximum and minimum values: $$\text{Range} = \text{Max} - \text{Min}$$ - The **median** is the middle value of the data set. 3. **Extract data from the boxplots:** - Class A: Q1 \approx 68, Q3 \approx 78, Median \approx 74, Min \approx 68, Max \approx 78 - Class B: Q1 \approx 63, Q3 \approx 87, Median \approx 72, Min \approx 63, Max \approx 87 4. **Calculate IQR for each class:** $$\text{IQR}_A = 78 - 68 = 10$$ $$\text{IQR}_B = 87 - 63 = 24$$ Class B has a larger IQR. 5. **Calculate range for each class:** $$\text{Range}_A = 78 - 68 = 10$$ $$\text{Range}_B = 87 - 63 = 24$$ Class A has a smaller range. 6. **Compare highest test scores:** Class A max = 78, Class B max = 87 Class B has the highest test score. 7. **Compare median test scores:** Class A median = 74, Class B median = 72 Class A has a higher median test score. **Final answers:** (a) Class B has the larger IQR. (b) Class A has the smaller range. (c) Class B has the highest test score. (d) Class A has the higher median test score.