1. **State the problem:** We compare two classes' test scores using box-and-whisker plots to answer questions about passing scores, interquartile range (IQR), median, and highest score.
2. **Recall boxplot components:** The box shows the IQR (Q1 to Q3), the line inside the box is the median, and whiskers show minimum and maximum scores.
3. **(a) Passing scores above 70:**
- Class A median is about 76, with Q1 around 71 and Q3 about 79, so more than half the scores are above 70.
- Class B median is about 66, with Q3 around 68, so fewer scores above 70.
- **Answer:** Class A had more passing scores.
4. **(b) Larger IQR:**
- Class A IQR = Q3 - Q1 = 79 - 71 = 8
- Class B IQR = 68 - 60 = 8
- Both classes have the same IQR of 8.
5. **(c) Higher median:**
- Class A median ≈ 76
- Class B median ≈ 66
- **Answer:** Class A has a higher median.
6. **(d) Highest test score:**
- Class A max ≈ 81
- Class B max ≈ 90
- **Answer:** Class B has the highest test score.
**Summary:**
- (a) Class A more passing scores
- (b) Both have same IQR
- (c) Class A higher median
- (d) Class B highest score
Boxplot Comparison 482E0E
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