https://file.aiquickdraw.com/mathbot/file/1725852271824b8rc1r4l.jpg

The image you uploaded contains a table and a problem related to percentages of students participating in a particular activity. I will extract the relevant information and help you solve the problem.

### Extracted Information:
1. **Table Details:**
   - Number of students in various grades and percentages involved in an activity.
   
2. **Problem Statement:**
   - You are asked to find the overall percentage of students in a high school who participate in the activity.

### Task:
I’ll now process the information and solve the problem based on the provided data.

Let me first analyze and calculate the percentages.

### Problem-Solving:
I'll use the data to solve the problem.

#### Table Details:
- **9th Grade:**  
   Number of Students = 83  
   Percentage Participating = 68%

- **10th Grade:**  
   Number of Students = 77  
   Percentage Participating = 50%

- **11th Grade:**  
   Number of Students = 83  
   Percentage Participating = 38%

- **12th Grade:**  
   Number of Students = 78  
   Percentage Participating = 25%

### Steps to Calculate Overall Percentage:
The overall percentage of students participating can be calculated using a weighted average approach. Here's the formula:

\[
\text{Overall Percentage} = \frac{\sum (\text{Number of Students in Grade} \times \text{Percentage Participating})}{\sum \text{Number of Students in All Grades}}
\]

Let me calculate this.The overall percentage of students participating in the activity across all grades is approximately **45.48%**.

Would you like any further details or have additional questions? Here are some related questions to expand your understanding:

1. How is the weighted average different from a simple average?
2. Why is it important to use the number of students in each grade to calculate the overall percentage?
3. How would the overall percentage change if the participation rates were slightly higher?
4. Can you think of another scenario where calculating a weighted average would be useful?
5. How would you explain the importance of this calculation to someone unfamiliar with weighted averages?

**Tip:** When working with percentages, especially in cases involving different groups, always consider the group's size to ensure accurate calculations.

What percentage of students in a high school participate in a certain activity, given the number of students in each grade and the percentage of students participating in each grade?

Learn how to calculate the overall percentage of students participating in a high school activity using a weighted average. This example includes data from four grades with varying student populations and participation rates. The problem involves percentages and weighted averages, suitable for Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation