ad answer the following O 2.4 15565 3 4 Σ* x 5 8 7 4 3 9 x-μ (x-μ)² Σ(x-μ)² = = 36 of sick days taken last year by each employee, as shown in the table.

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I am not sure of the chart

 

**Classwork Day 1: Range, Variance, Standard Deviation**

**Instructions:**
1. Complete the following chart and answer the following questions.

**Data Table 1:**

| \( x \) | \( x - \overline{x} \) | \( (x - \overline{x})^2 \) |
|---------|------------------------|----------------------------|
| 5       |                        |                            |
| 8       |                        |                            |
| 7       |                        |                            |
| 4       |                        |                            |
| 3       |                        |                            |
| 9       |                        |                            |

- \(\sum x = 36\)

- Note: The table should be filled in with calculations of the deviations from the mean (\(\overline{x}\)) and their squares.

**Calculations:**

- **Mean (Population Mean):** \( \overline{x} = \frac{\sum x}{n} \)
- **Population Variance:** \(\sigma^2 = \frac{\sum (x - \overline{x})^2}{n}\)
- **Population Standard Deviation:** \(\sigma = \sqrt{\sigma^2}\)
- **Range:** \( \text{Max}(x) - \text{Min}(x) \)

**Summary Table:**
- **Range:** 6
- **Population Mean:** 6
- **Population Variance:** 5.6
- **Population Standard Deviation:** 2.4

**Data Table 2:**

| Employees | Sick Days |
|-----------|-----------|
| Keith     | 4         |
| Lynette   | 5         |
| Ely       | 1         |
| Ron       | 1         |
| Shawn     | 4         |
| Abby      | 1         |
| Calei     | 4         |
| Lucie     | 3         |
| Anthony   | 6         |

- Mean:
- Variance:
- Range:
- Median:
- Mode:
- Standard Deviation:

**Task:**
2. Complete and analyze the sick days taken by each employee as shown in the table.

- Calculate the statistical measures (mean, median, mode, variance, standard deviation, and range) for the employee data.

**Notes:**
- Use the data provided in each table to perform statistical calculations.
- Ensure to complete the missing
Transcribed Image Text:**Classwork Day 1: Range, Variance, Standard Deviation** **Instructions:** 1. Complete the following chart and answer the following questions. **Data Table 1:** | \( x \) | \( x - \overline{x} \) | \( (x - \overline{x})^2 \) | |---------|------------------------|----------------------------| | 5 | | | | 8 | | | | 7 | | | | 4 | | | | 3 | | | | 9 | | | - \(\sum x = 36\) - Note: The table should be filled in with calculations of the deviations from the mean (\(\overline{x}\)) and their squares. **Calculations:** - **Mean (Population Mean):** \( \overline{x} = \frac{\sum x}{n} \) - **Population Variance:** \(\sigma^2 = \frac{\sum (x - \overline{x})^2}{n}\) - **Population Standard Deviation:** \(\sigma = \sqrt{\sigma^2}\) - **Range:** \( \text{Max}(x) - \text{Min}(x) \) **Summary Table:** - **Range:** 6 - **Population Mean:** 6 - **Population Variance:** 5.6 - **Population Standard Deviation:** 2.4 **Data Table 2:** | Employees | Sick Days | |-----------|-----------| | Keith | 4 | | Lynette | 5 | | Ely | 1 | | Ron | 1 | | Shawn | 4 | | Abby | 1 | | Calei | 4 | | Lucie | 3 | | Anthony | 6 | - Mean: - Variance: - Range: - Median: - Mode: - Standard Deviation: **Task:** 2. Complete and analyze the sick days taken by each employee as shown in the table. - Calculate the statistical measures (mean, median, mode, variance, standard deviation, and range) for the employee data. **Notes:** - Use the data provided in each table to perform statistical calculations. - Ensure to complete the missing
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