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To determine the **mean number of sports** practiced by the students in the class, we will calculate the weighted average based on the given data.

The table provides the following information:

- Number of sports practiced: \( 0, 1, 2, 3, 4 \)
- Number of students practicing these sports (effectif): \( 2, 9, 10, 4, 1 \)

The formula to find the mean is:

\[
\text{Mean} = \frac{\sum (\text{Number of sports} \times \text{Effectif})}{\sum (\text{Effectif})}
\]

Let's compute:

1. Multiply the number of sports practiced by the corresponding number of students:
   \[
   (0 \times 2) + (1 \times 9) + (2 \times 10) + (3 \times 4) + (4 \times 1) = 0 + 9 + 20 + 12 + 4 = 45
   \]

2. Sum the total number of students:
   \[
   2 + 9 + 10 + 4 + 1 = 26
   \]

3. Now, divide the total number of sports practiced by the total number of students:
   \[
   \text{Mean} = \frac{45}{26} \approx 1.73
   \]

Thus, the **mean number of sports** practiced by the students is approximately **1.73**.

Would you like more details or explanations? Here are some related questions for practice:

1. How would the mean change if one more student practiced 4 sports?
2. What is the median number of sports practiced in this class?
3. How can we calculate the mode of the number of sports practiced?
4. If the data included students practicing 5 sports, how would that affect the mean?
5. How would you calculate the variance of the number of sports practiced?

**Tip**: The mean is sensitive to extreme values, so adding students who practice many sports can significantly change the result.

Détermine le nombre moyen de sports pratiqués par les élèves de cette classe.

Learn how to calculate the mean number of sports practiced by students in a class using a weighted average. This problem involves understanding key statistical concepts such as the mean and applying a specific formula to find the solution. Suitable for students in Grades 6-8.

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