Subjects data analysis

Boxplot Comparison 482E0E

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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