MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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### I. Computational/Analytical
#### 1. Complete the following tables
**(A) Height (Inches)**
| Height (Inches) | Frequency | Percent Freq. | Cumulative Freq. | Relative Freq. |
|:---------------:|:---------:|:-------------:|:----------------:|:--------------:|
| 64 - 69 | 5 | | | |
| 70 - 75 | 2 | | | |
| 76 - 81 | 6 | | | |
| 82 - 87 | 4 | | | |
| 88 - 93 | 3 | | | |
**Explanation:**
- **Frequency** column shows the number of observations within each height range.
- **Percent Frequency** column will be calculated as the percentage of the total number of observations.
- **Cumulative Frequency** column will show the sum of frequencies up to and including the current row.
- **Relative Frequency** column represents the individual frequency divided by the total number of observations.
**(B) Sample of Wages per Hour**
Given data shows the sample of wages per hour:
- \( x_i \)
- 50
- 40
- 70
- 30
**Task:** Compute the Z-scores given mean (\(\mu\)) is 30 and standard deviation (\(\sigma\)) is 17.
**Formula for Z-score:**
\[ Z = \frac{(x_i - \mu)}{\sigma} \]
**Explanation:**
Z-scores represent how many standard deviations an element is from the mean. Thus, each wage value's Z-score can be calculated using the provided mean and standard deviation.
---](https://content.bartleby.com/qna-images/question/3fecd034-8a6f-4353-87f7-6a89dab10bbb/7c097c01-d725-4805-abd5-27683e12aa86/vdbeht_processed.jpeg)
Transcribed Image Text:---
### I. Computational/Analytical
#### 1. Complete the following tables
**(A) Height (Inches)**
| Height (Inches) | Frequency | Percent Freq. | Cumulative Freq. | Relative Freq. |
|:---------------:|:---------:|:-------------:|:----------------:|:--------------:|
| 64 - 69 | 5 | | | |
| 70 - 75 | 2 | | | |
| 76 - 81 | 6 | | | |
| 82 - 87 | 4 | | | |
| 88 - 93 | 3 | | | |
**Explanation:**
- **Frequency** column shows the number of observations within each height range.
- **Percent Frequency** column will be calculated as the percentage of the total number of observations.
- **Cumulative Frequency** column will show the sum of frequencies up to and including the current row.
- **Relative Frequency** column represents the individual frequency divided by the total number of observations.
**(B) Sample of Wages per Hour**
Given data shows the sample of wages per hour:
- \( x_i \)
- 50
- 40
- 70
- 30
**Task:** Compute the Z-scores given mean (\(\mu\)) is 30 and standard deviation (\(\sigma\)) is 17.
**Formula for Z-score:**
\[ Z = \frac{(x_i - \mu)}{\sigma} \]
**Explanation:**
Z-scores represent how many standard deviations an element is from the mean. Thus, each wage value's Z-score can be calculated using the provided mean and standard deviation.
---
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