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The image provided contains a table with information about different grade levels, the number of students in each grade, and corresponding sample sizes. Let's extract the dataThe image provided contains a table with information about different grade levels, the number of students in each grade, and corresponding sample sizes. Let's extract the 

### Table Data:
1. **Grade Level**: 
   - 7, 8, 9, 10
2. **Number of Students** (No. of Students): 
   - For Grade 7: 823
   - For Grade 8: 922
   - For Grade 9: 1,020
   - For Grade 10: 1,000
   - **Total Number of Students (N)**: 3,765
3. **Sample Sizes**: 
   - For Grade 7: 273
   - For Grade 8: 280
   - For Grade 9: 285
   - For Grade 10: 281

### Formula:
It appears that a formula is given:
\[
n = \frac{N}{1 + N \cdot (5\%)^2}
\]

This formula is used to determine the sample size, where:
- \( N \) is the total population size.
- \( 5\% \) is the assumed margin of error or confidence interval (which is 0.05 when converted to decimal).

### Calculation:
Let's calculate the overall sample size using this formula.

\[
n = \frac{3765}{1 + 3765 \cdot (0.05)^2}
\]

\[
n = \frac{3765}{1 + 3765 \cdot 0.0025}
\]

\[
n = \frac{3765}{1 + 9.4125}
\]

\[
n = \frac{3765}{10.4125} \approx 361.63
\]

The total sample size rounded to the nearest whole number is approximately **362**.

Would you like more details about these calculations, or do you have any specific questions?

### Related Questions to Consider:
1. How does the sample size change if we change the margin of error (e.g., to 4% or 6%)?
2. What would be the effect of using different confidence levels (e.g., 90% vs. 95%) on the sample size?
3. How are these sample sizes practically chosen for each grade level?
4. Why is a sample size calculation important in statistics?
5. How can we apply this sample size calculation to other populations?

### Tip:
Always ensure that your sample size is representative of the population to maintain the accuracy of the results.

Learn how to calculate the sample size for a population using a confidence interval of 5%. This problem involves statistics and sample size calculation, essential for research and surveys. Detailed step-by-step calculation provided.

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