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Three box-and-whisker plots are shown side-by-side on the same scale. 200-1 1 180-| I 160- 1 140-| F 120-| I 100-| I 80-| 60-1 1 40-1 A B с Which of the three groups has the largest median? Explain your reasoning. Which of the 3 groups has the largest standard deviation? Explain your reasoning.

Three box-and-whisker plots are shown side-by-side on the same scale. 200-1 1 180-| I 160- 1 140-| F 120-| I 100-| I 80-| 60-1 1 40-1 A B с Which of the three groups has the largest median? Explain your reasoning. Which of the 3 groups has the largest standard deviation? Explain your reasoning.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Box-and-Whisker Plots Analysis** Three box-and-whisker plots are shown side-by-side on the same scale. **Graph/Diagram Explanation:** The diagram comprises three box-and-whisker plots labeled A, B, and C, respectively. Each plot displays the distribution of a data set on a scale ranging from 40 to 200. - **A’s plot**: The bottom whisker extends to around 45, and the top whisker reaches approximately 195. The box ranges from about 90 on the bottom to 160 on the top, with a median just above 120. - **B’s plot**: The bottom whisker reaches close to 65, and the top whisker extends to about 180. The interquartile range is from approximately 95 to 145, with the median around 120. - **C’s plot**: The bottom whisker extends to about 50, and the top whisker reaches around 130. The box ranges from approximately 80 to 120, with the median at the top of this range, close to 120. **Questions and Answers:** 1. **Which of the three groups has the largest median? Explain your reasoning.** - Group **C** has the largest median. All the box plots have their median marked in the middle of the box. Group C's median is the highest when compared to Groups A and B. 2. **Which of the 3 groups has the largest standard deviation? Explain your reasoning.** - Group **A** has the largest standard deviation. Group A’s box-and-whisker plot has the widest range, indicating the greatest variability in the data set. 3. **Which of the groups will most certainly have a mean that is above its median?** - Group **C** will most likely have a mean that is above its median. This is because the larger values above the median will increase the mean. 4. **Which of the groups will most certainly have a mean that is near or at its median?** - Group **B** will most likely have a mean near or at its median. The distribution looks symmetrical, suggesting the mean and median will be close. 5. **Which of the groups will most certainly have a mean that is below its median?** - None of the groups demonstrates characteristics that strongly suggest the mean would be below its median, as typically this would imply a
Transcribed Image Text:**Box-and-Whisker Plots Analysis** Three box-and-whisker plots are shown side-by-side on the same scale. **Graph/Diagram Explanation:** The diagram comprises three box-and-whisker plots labeled A, B, and C, respectively. Each plot displays the distribution of a data set on a scale ranging from 40 to 200. - **A’s plot**: The bottom whisker extends to around 45, and the top whisker reaches approximately 195. The box ranges from about 90 on the bottom to 160 on the top, with a median just above 120. - **B’s plot**: The bottom whisker reaches close to 65, and the top whisker extends to about 180. The interquartile range is from approximately 95 to 145, with the median around 120. - **C’s plot**: The bottom whisker extends to about 50, and the top whisker reaches around 130. The box ranges from approximately 80 to 120, with the median at the top of this range, close to 120. **Questions and Answers:** 1. **Which of the three groups has the largest median? Explain your reasoning.** - Group **C** has the largest median. All the box plots have their median marked in the middle of the box. Group C's median is the highest when compared to Groups A and B. 2. **Which of the 3 groups has the largest standard deviation? Explain your reasoning.** - Group **A** has the largest standard deviation. Group A’s box-and-whisker plot has the widest range, indicating the greatest variability in the data set. 3. **Which of the groups will most certainly have a mean that is above its median?** - Group **C** will most likely have a mean that is above its median. This is because the larger values above the median will increase the mean. 4. **Which of the groups will most certainly have a mean that is near or at its median?** - Group **B** will most likely have a mean near or at its median. The distribution looks symmetrical, suggesting the mean and median will be close. 5. **Which of the groups will most certainly have a mean that is below its median?** - None of the groups demonstrates characteristics that strongly suggest the mean would be below its median, as typically this would imply a
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