2- We interviewed 40 employees about the management skills of the manager of a small company. The results are the following: Good VeryGood Excellent Good Good VeryGood Neutral Good Neutral VeryGood Good Excellent Neutral Good Excellent Good Excellent Good Neutral Good Excellent Good Excellent Good VeryGood Excellent Good Good Excellent Good Good Good Excellent Neutral VeryGood VeryGood Good Excellent Neutral Excellent a) Write an appropriate expression for the size of the sample b) Prepare a frequency distribution for the data c) Draw a bars chart representing the data d) Draw a pie chart representing the results d) What conclusion can you make about the manager's management skills?

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Can you please solve this problem and all of the sub problem A through D and show all of the steps to the solution please and thank you 

### Employee Feedback on Manager's Skills

**Survey Details**: We interviewed 40 employees about the management skills of the manager of a small company. The results are as follows:

- Good
- Very Good
- Excellent
- Good
- Good
- Very Good
- Neutral
- Good
- Neutral
- Very Good
- Good
- Excellent
- Neutral
- Excellent
- Good
- Excellent
- Good
- Neutral
- Good
- Excellent
- Good
- Very Good
- Excellent
- Good
- Good
- Excellent
- Good
- Good
- Good
- Excellent
- Neutral
- Very Good
- Very Good
- Good
- Excellent
- Neutral
- Excellent

#### Questions:

a) **Write an appropriate expression for the size of the sample**:
   - The sample size is \( n = 40 \).

b) **Prepare a frequency distribution for the data**:

| Rating      | Frequency (f) |
|-------------|---------------|
| Good        | 16            |
| Very Good   | 9             |
| Excellent   | 11            |
| Neutral     | 4             |

c) **Draw a bar chart representing the data**:
   - The bar chart will have the ratings (Good, Very Good, Excellent, Neutral) on the x-axis and the frequency on the y-axis. Each bar will represent the number of responses for each rating.

d) **Draw a pie chart representing the results**:
   - The pie chart will display the proportion of each rating as a segment of the whole circle. Each segment size corresponds to the frequency of responses for each rating.

e) **What conclusion can you make about the manager’s management skills?**:
   - From the frequency distribution, it is evident that a majority of the employees rated the manager's skills as "Good" (16 responses) and "Excellent" (11 responses). "Very Good" also has a significant number of responses (9), while "Neutral" has the least (4). This indicates that overall, the manager is viewed positively, with most employees appreciating the management skills. The small number of neutral responses suggests that only a few employees have a non-committal view about the manager's skills.
Transcribed Image Text:### Employee Feedback on Manager's Skills **Survey Details**: We interviewed 40 employees about the management skills of the manager of a small company. The results are as follows: - Good - Very Good - Excellent - Good - Good - Very Good - Neutral - Good - Neutral - Very Good - Good - Excellent - Neutral - Excellent - Good - Excellent - Good - Neutral - Good - Excellent - Good - Very Good - Excellent - Good - Good - Excellent - Good - Good - Good - Excellent - Neutral - Very Good - Very Good - Good - Excellent - Neutral - Excellent #### Questions: a) **Write an appropriate expression for the size of the sample**: - The sample size is \( n = 40 \). b) **Prepare a frequency distribution for the data**: | Rating | Frequency (f) | |-------------|---------------| | Good | 16 | | Very Good | 9 | | Excellent | 11 | | Neutral | 4 | c) **Draw a bar chart representing the data**: - The bar chart will have the ratings (Good, Very Good, Excellent, Neutral) on the x-axis and the frequency on the y-axis. Each bar will represent the number of responses for each rating. d) **Draw a pie chart representing the results**: - The pie chart will display the proportion of each rating as a segment of the whole circle. Each segment size corresponds to the frequency of responses for each rating. e) **What conclusion can you make about the manager’s management skills?**: - From the frequency distribution, it is evident that a majority of the employees rated the manager's skills as "Good" (16 responses) and "Excellent" (11 responses). "Very Good" also has a significant number of responses (9), while "Neutral" has the least (4). This indicates that overall, the manager is viewed positively, with most employees appreciating the management skills. The small number of neutral responses suggests that only a few employees have a non-committal view about the manager's skills.
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