Display the data to the right in a Pareto chart. Describe the difference in how the pie chart and the Pareto chart show patterns in the data. (a) Construct a Pareto chart to display the data. Choose the correct bar graph below. O A. OB. O C. Favorite Season Favorite Season Favorite Season Favorite Season 50- 50- 50 Sp W F Sp S W Sp W Sp F SW (b) Describe the difference in how the pie chart and the Pareto chart show patterns in the data. Choose the correct answer below. 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. Favorite Season O D. 50 Summer 36% Fall 21% | Spring 24% Winter 19%

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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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
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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