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MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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![### Displaying Data Using Charts
The task is to display data about favorite seasons using a Pareto chart and to describe the difference in how a pie chart and the Pareto chart reveal patterns in the data.
A **Pareto chart** is a type of bar graph where values are plotted in descending order of frequency, cumulative percentages are often plotted with a line, and it is used to identify the most significant factors in a dataset. In contrast, a **pie chart** shows the proportions of different categories as slices of a pie, making it easy to see the relative sizes of each category.
#### Given Data:
- **Pie Chart: Favorite Season**
- Summer: 36%
- Fall: 21%
- Spring: 24%
- Winter: 19%
This pie chart represents the distribution of individuals' favorite seasons.
#### Instruction:
(a) **Constructing a Pareto Chart:**
Choose the correct bar graph to represent the data as a Pareto chart.
Options:
- **A:** Order (Fall, Spring, Summer, Winter)
- **B:** Order (Summer, Fall, Spring, Winter)
- **C:** Order (Summer, Fall, Winter, Spring)
- **D:** Order (Spring, Fall, Summer, Winter)
Since a Pareto chart should display the data in descending order of percentage, the correct choice is **B**, where:
- Summer (36%) is the highest bar.
- Followed by Spring (24%).
- Then Fall (21%).
- Finally, Winter (19%).
(b) **Describing Differences in Display:**
Choose the correct answer to describe how the pie chart and the Pareto chart show patterns in the data:
- **A:** The pie chart shows the individual responses. The Pareto chart shows the distribution of the seasons.
- **B:** The pie chart shows the percentages as parts of the whole. The Pareto chart shows the rankings of the seasons.
- **C:** The pie chart shows the distribution of the seasons. The Pareto chart shows the individual responses.
- **D:** The pie chart shows the rankings of the seasons. The Pareto chart shows the percentages.
The most accurate description is:
- **B:** The pie chart shows the percentages as parts of the whole. The Pareto chart shows the rankings of the seasons.
### Graph/Diagram Explanation:
- **Pie Chart:** Displays the favorite seasons in a circular graph divided into slices. Each slice represents](https://content.bartleby.com/qna-images/question/f83dc9cc-0dec-4d0e-9c3b-9165f8afc196/2668d7f6-b930-4ea1-979e-9df4671ff16c/li860bn_thumbnail.jpeg)
Transcribed Image Text:### Displaying Data Using Charts
The task is to display data about favorite seasons using a Pareto chart and to describe the difference in how a pie chart and the Pareto chart reveal patterns in the data.
A **Pareto chart** is a type of bar graph where values are plotted in descending order of frequency, cumulative percentages are often plotted with a line, and it is used to identify the most significant factors in a dataset. In contrast, a **pie chart** shows the proportions of different categories as slices of a pie, making it easy to see the relative sizes of each category.
#### Given Data:
- **Pie Chart: Favorite Season**
- Summer: 36%
- Fall: 21%
- Spring: 24%
- Winter: 19%
This pie chart represents the distribution of individuals' favorite seasons.
#### Instruction:
(a) **Constructing a Pareto Chart:**
Choose the correct bar graph to represent the data as a Pareto chart.
Options:
- **A:** Order (Fall, Spring, Summer, Winter)
- **B:** Order (Summer, Fall, Spring, Winter)
- **C:** Order (Summer, Fall, Winter, Spring)
- **D:** Order (Spring, Fall, Summer, Winter)
Since a Pareto chart should display the data in descending order of percentage, the correct choice is **B**, where:
- Summer (36%) is the highest bar.
- Followed by Spring (24%).
- Then Fall (21%).
- Finally, Winter (19%).
(b) **Describing Differences in Display:**
Choose the correct answer to describe how the pie chart and the Pareto chart show patterns in the data:
- **A:** The pie chart shows the individual responses. The Pareto chart shows the distribution of the seasons.
- **B:** The pie chart shows the percentages as parts of the whole. The Pareto chart shows the rankings of the seasons.
- **C:** The pie chart shows the distribution of the seasons. The Pareto chart shows the individual responses.
- **D:** The pie chart shows the rankings of the seasons. The Pareto chart shows the percentages.
The most accurate description is:
- **B:** The pie chart shows the percentages as parts of the whole. The Pareto chart shows the rankings of the seasons.
### Graph/Diagram Explanation:
- **Pie Chart:** Displays the favorite seasons in a circular graph divided into slices. Each slice represents
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