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This exercise involves analyzing a table with a cross-tabulation of two characteristics. Let's break it down step by step:

### Given Table:

|                    | **Femmes** | **Hommes** | **Total** |
|--------------------|------------|------------|-----------|
| **Moins de 40 ans** | 12         | 17         |           |
| **Plus de 40 ans**  |            | 5          |           |
| **Total**          |            |            | 40        |

### Questions:

1. **Quels sont les deux caractères étudiés dans ce tableau ?**  
   - The two characteristics being studied in this table are **age** (less than 40 and more than 40 years old) and **gender** (women and men).

2. **Donner le nombre d'employés de moins de 40 ans.**  
   - The number of employees under 40 years old is the total for the first row:  
     \( 12 + 17 = 29 \).

3. **Recopier et compléter ce tableau.**  
   Let's complete the missing values:
   
|                    | **Femmes** | **Hommes** | **Total** |
|--------------------|------------|------------|-----------|
| **Moins de 40 ans** | 12         | 17         | 29        |
| **Plus de 40 ans**  | 4          | 5          | 9         |
| **Total**           | 16         | 22         | 40        |

- The number of women is \( 12 + 4 = 16 \), and the number of men is \( 17 + 5 = 22 \).

Would you like further explanations on how to complete the table or any specific details on the questions? Here are some follow-up questions to extend this problem:

1. How can you calculate the percentage of men and women in each age group?
2. What is the total percentage of employees under 40 years old?
3. If there were 10 more employees over 40, how would that change the table?
4. Can you create a graphical representation of this data, such as a bar chart?
5. What are the implications of having more employees under 40 than over 40 in terms of workforce planning?

**Tip:** Cross-tabulation tables are useful for visualizing the relationship between two categorical variables, making comparisons much clearer.

Dresser un tableau croisé de deux caractères à partir d'un fichier de données.

This exercise helps students learn how to analyze a cross-tabulation table based on employee age and gender. It includes data on employees under and over 40 years old. Students will complete the table and answer related statistical questions.

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