Stem-and-Leaf Plot Camcorder Screen Sizes (in inches) 1 1 6 24 277888888888 3 1111122 3 Key: 1|6=1.6 Print Done >

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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# Stem-and-Leaf Plot

## Camcorder Screen Sizes (in inches)

```
1 | 6
2 | 4
2 | 7 7 8 8 8 8 8 8 8 8 
3 | 1 1 1 1 1 2 2
```

**Key:** 
```
1 | 6 = 1.6
```

This Stem-and-Leaf plot displays the distribution of camcorder screen sizes in inches. The display shows the data in two columns, with the stems representing the whole number part of the screen size and the leaves representing the decimal or fractional part.

### Explanation of the Graph:

1. **Stems:** On the left side of the vertical line are the stems. Each number corresponds to the integer part of the screen size. For instance, the stem '1' includes all screen sizes between 1.0 and 1.9 inches.
2. **Leaves:** On the right side of the vertical line are the leaves. Each leaf corresponds to the decimal part of the screen size. For example, in the row where the stem is '1', the leaf '6' represents a screen size of 1.6 inches.
3. **Key:** The key explains how to read the entries in the plot. For example, '1 | 6 = 1.6' indicates that a stem of '1' and a leaf of '6' together represent a screen size of 1.6 inches.

This type of plot provides a clear and concise way to visualize the frequency and distribution of data points within a dataset.
Transcribed Image Text:# Stem-and-Leaf Plot ## Camcorder Screen Sizes (in inches) ``` 1 | 6 2 | 4 2 | 7 7 8 8 8 8 8 8 8 8 3 | 1 1 1 1 1 2 2 ``` **Key:** ``` 1 | 6 = 1.6 ``` This Stem-and-Leaf plot displays the distribution of camcorder screen sizes in inches. The display shows the data in two columns, with the stems representing the whole number part of the screen size and the leaves representing the decimal or fractional part. ### Explanation of the Graph: 1. **Stems:** On the left side of the vertical line are the stems. Each number corresponds to the integer part of the screen size. For instance, the stem '1' includes all screen sizes between 1.0 and 1.9 inches. 2. **Leaves:** On the right side of the vertical line are the leaves. Each leaf corresponds to the decimal part of the screen size. For example, in the row where the stem is '1', the leaf '6' represents a screen size of 1.6 inches. 3. **Key:** The key explains how to read the entries in the plot. For example, '1 | 6 = 1.6' indicates that a stem of '1' and a leaf of '6' together represent a screen size of 1.6 inches. This type of plot provides a clear and concise way to visualize the frequency and distribution of data points within a dataset.
**Data Representation in Dot Plots**

**Exercise:**

Display the accompanying data in a dot plot. Describe the differences in how the stem-and-leaf plot and the dot plot show patterns in the data.

[Click the icon to view the data.]

**Question:**

Construct a dot plot. Choose the correct graph below.

**Options:**

- **A:**
  ![Graph A](link)
  - This graph displays a dot plot with data points mostly concentrated around the value of 3 on the horizontal axis, ranging from approximately 0 to 4.

- **B:**
  ![Graph B](link)
  - This graph displays a dot plot with data points mostly concentrated around the value of 3 on the horizontal axis, but it incorrectly uses a scale that ranges from 0 to 4.
  
- **C:**
  ![Graph C](link)
  - This graph displays a dot plot with data points mostly concentrated around the value of 1 on the horizontal axis, ranging from approximately 0 to 4.
  
- **D:**
  ![Graph D](link)
  - This graph displays a dot plot with data points mostly concentrated around the value of 30 on the horizontal axis, but it incorrectly uses a scale that spans from 0 to 40.

**Instructions:**

Select the proper graph that accurately represents the data points with appropriate scaling.

**Analysis:**

The correct graph to be selected is **A**, as it correctly represents the data concentration around the value of 3 with a suitable scale that ranges from 0 to 4.
Transcribed Image Text:**Data Representation in Dot Plots** **Exercise:** Display the accompanying data in a dot plot. Describe the differences in how the stem-and-leaf plot and the dot plot show patterns in the data. [Click the icon to view the data.] **Question:** Construct a dot plot. Choose the correct graph below. **Options:** - **A:** ![Graph A](link) - This graph displays a dot plot with data points mostly concentrated around the value of 3 on the horizontal axis, ranging from approximately 0 to 4. - **B:** ![Graph B](link) - This graph displays a dot plot with data points mostly concentrated around the value of 3 on the horizontal axis, but it incorrectly uses a scale that ranges from 0 to 4. - **C:** ![Graph C](link) - This graph displays a dot plot with data points mostly concentrated around the value of 1 on the horizontal axis, ranging from approximately 0 to 4. - **D:** ![Graph D](link) - This graph displays a dot plot with data points mostly concentrated around the value of 30 on the horizontal axis, but it incorrectly uses a scale that spans from 0 to 40. **Instructions:** Select the proper graph that accurately represents the data points with appropriate scaling. **Analysis:** The correct graph to be selected is **A**, as it correctly represents the data concentration around the value of 3 with a suitable scale that ranges from 0 to 4.
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Follow-up Questions
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Follow-up Question
Display the accompanying data in a dot plot. Describe the differences in how the stem-and-leaf plot and the dot plot show patterns in the data.
Click the icon to view the data.
2
4
O D.
2
J
10
20
30
0
40
Describe the differences between the stem-and-leaf plot and the dot plot in how they present data.
The stem-and-leaf plot shows that all data values are between 2.7 and 3.2. The dot plot shows that the values 2.7 and 3.2 occur the most often, with occurring
the most frequently.
Transcribed Image Text:Display the accompanying data in a dot plot. Describe the differences in how the stem-and-leaf plot and the dot plot show patterns in the data. Click the icon to view the data. 2 4 O D. 2 J 10 20 30 0 40 Describe the differences between the stem-and-leaf plot and the dot plot in how they present data. The stem-and-leaf plot shows that all data values are between 2.7 and 3.2. The dot plot shows that the values 2.7 and 3.2 occur the most often, with occurring the most frequently.
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