These box plots show the basketball scores for two teams. Bulldogs 55 70 80 90 105 Wolverines 35 55 80 85 96 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100 105 110 Basketball scores Which statement is the most appropriate comparison of the spreads?
These box plots show the basketball scores for two teams. Bulldogs 55 70 80 90 105 Wolverines 35 55 80 85 96 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100 105 110 Basketball scores Which statement is the most appropriate comparison of the spreads?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:### Basketball Scores Comparison
This image presents box plots comparing the basketball scores for two teams: the Bulldogs and the Wolverines.
#### Box Plot Explanation
- **Bulldogs:**
- Minimum score: 55
- First quartile (Q1): 70
- Median (Q2): 80
- Third quartile (Q3): 90
- Maximum score: 105
- **Wolverines:**
- Minimum score: 35
- First quartile (Q1): 55
- Median (Q2): 80
- Third quartile (Q3): 85
- Maximum score: 95
The box plots have a horizontal axis labeled "Basketball scores," ranging from 30 to 110. Each plot shows:
- A line extending from the minimum to the maximum values
- A box spanning from the first quartile to the third quartile
- A line within the box representing the median.
#### Analysis Question
Below the box plots is a question:
**"Which statement is the most appropriate comparison of the spreads?"**
This invites analysis of the variability and distribution range between the two teams' scores. The Bulldogs have a wider spread of scores, while the Wolverines' scores are more concentrated.
Transcribed Image Text:**Transcription for Educational Website: Data Analysis Practice**
This section presents a multiple-choice question designed to test your understanding of statistical concepts like median, interquartile range, and range.
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**Options:**
- **A.** The median for the Bulldogs, 80, is the same as the median for the Wolverines, 80.
- **B.** The interquartile ranges (IQRs) for the Bulldogs and Wolverines are both 80.
- **C.** The interquartile range (IQR) for the Bulldogs, 20, is less than the IQR for the Wolverines, 30.
- **D.** The range for the Bulldogs, 20, is less than the range for the Wolverines, 30.
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**Instructions:** Analyze each statement carefully, using your knowledge of the measures of central tendency and spread, to determine which statement accurately represents the data between the Bulldogs and Wolverines.
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