MATLAB: An Introduction with Applications
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
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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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