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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### Utilizing a Stem-and-Leaf Plot for Data Representation

Stem-and-leaf plots are a method for organizing numerical data in order to visualize its distribution. In this example, we display the numbers of hours that 24 nurses work per week. The task at hand is to observe and describe any patterns within the data.

**Data Set:**
```
40, 40, 41, 48, 33, 40, 36, 53, 32, 36, 
30, 26, 40, 36, 40, 36, 40, 35, 33, 40, 
32, 38, 29
```

**Instructions:**
The stem represents the leading digit(s), while the leaf represents the last digit of each number. For example, if the number is 33, the stem is 3 and the leaf is 3.

### Detailed Stem-and-Leaf Plot:

**Key:** 3 | 3 = 33

| Hours Worked (Stem) | Leaves                             |
|---------------------|------------------------------------|
| 2                   | 6, 9                               |
| 3                   | 0, 0, 2, 2, 3, 3, 5, 6, 6, 6, 8    |
| 4                   | 0, 0, 0, 0, 0, 0, 0, 1, 6, 8       |
| 5                   | 3                                  |

### Analysis:
- The highest frequency of hours worked appears in the range of the 30s, with 11 occurrences.
- The 40-hour work week is also highly common, represented by 8 occurrences within the 40s range.
- There are only 2 occurrences within the 20s and 1 in the 50s.

The stem-and-leaf plot effectively shows that the majority of the nurses work between 30 to 40 hours a week, with 40 and 36 hours being the most common individual numbers. This visualization helps in easily understanding the distribution and identifying patterns in the work hours of nurses.
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Transcribed Image Text:### Utilizing a Stem-and-Leaf Plot for Data Representation Stem-and-leaf plots are a method for organizing numerical data in order to visualize its distribution. In this example, we display the numbers of hours that 24 nurses work per week. The task at hand is to observe and describe any patterns within the data. **Data Set:** ``` 40, 40, 41, 48, 33, 40, 36, 53, 32, 36, 30, 26, 40, 36, 40, 36, 40, 35, 33, 40, 32, 38, 29 ``` **Instructions:** The stem represents the leading digit(s), while the leaf represents the last digit of each number. For example, if the number is 33, the stem is 3 and the leaf is 3. ### Detailed Stem-and-Leaf Plot: **Key:** 3 | 3 = 33 | Hours Worked (Stem) | Leaves | |---------------------|------------------------------------| | 2 | 6, 9 | | 3 | 0, 0, 2, 2, 3, 3, 5, 6, 6, 6, 8 | | 4 | 0, 0, 0, 0, 0, 0, 0, 1, 6, 8 | | 5 | 3 | ### Analysis: - The highest frequency of hours worked appears in the range of the 30s, with 11 occurrences. - The 40-hour work week is also highly common, represented by 8 occurrences within the 40s range. - There are only 2 occurrences within the 20s and 1 in the 50s. The stem-and-leaf plot effectively shows that the majority of the nurses work between 30 to 40 hours a week, with 40 and 36 hours being the most common individual numbers. This visualization helps in easily understanding the distribution and identifying patterns in the work hours of nurses.
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