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What is the five number summary for the box and whisker plot? 10 15 20 25 30 35 40 Scores

What is the five number summary for the box and whisker plot? 10 15 20 25 30 35 40 Scores

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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5,10,20,35,40

5, 20, 30, 40, 50

5,20,30,35,40

5,20, 25, 35, 40

**Understanding a Box and Whisker Plot** **Question:** What is the five-number summary for the box and whisker plot? **Box and Whisker Plot Explanation:** - **Minimum:** This is the smallest value shown on the left end of the whisker. Here, it is 5. - **First Quartile (Q1):** The edge of the box closest to the minimum. Here, it is 20. - **Median:** The line inside the box which divides the data into two equal parts. Here, it is 30. - **Third Quartile (Q3):** The edge of the box closest to the maximum. Here, it is 35. - **Maximum:** This is the largest value shown on the right end of the whisker. Here, it is 40. **Five-Number Summary:** - Minimum: 5 - First Quartile (Q1): 20 - Median: 30 - Third Quartile (Q3): 35 - Maximum: 40 The plot represents a dataset's spread, showing its minimum, first quartile, median, third quartile, and maximum. The box itself reflects the interquartile range (IQR), indicating where the central 50% of the data lies.
Transcribed Image Text:**Understanding a Box and Whisker Plot** **Question:** What is the five-number summary for the box and whisker plot? **Box and Whisker Plot Explanation:** - **Minimum:** This is the smallest value shown on the left end of the whisker. Here, it is 5. - **First Quartile (Q1):** The edge of the box closest to the minimum. Here, it is 20. - **Median:** The line inside the box which divides the data into two equal parts. Here, it is 30. - **Third Quartile (Q3):** The edge of the box closest to the maximum. Here, it is 35. - **Maximum:** This is the largest value shown on the right end of the whisker. Here, it is 40. **Five-Number Summary:** - Minimum: 5 - First Quartile (Q1): 20 - Median: 30 - Third Quartile (Q3): 35 - Maximum: 40 The plot represents a dataset's spread, showing its minimum, first quartile, median, third quartile, and maximum. The box itself reflects the interquartile range (IQR), indicating where the central 50% of the data lies.
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