I Computational/Analytical 1. Complete the following tables (A) Height Percent Cumulative C. Relative| (B) The data shows the sample of wages per hour. Freq. Freq. Freq. Compute the Z-scores given mean is 30 and SD is 17 (Inches) Freq. 64-69 5 Ii 70-75 2 50 76-81 6 40 82-87 4 70 88-93 3 30

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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.

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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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