https://file.aiquickdraw.com/mathbot/file/1727058824645xcpxbjfg.jpg

Let’s work through the questions shown in the image:

### 1. Pie Chart Problem (Extracurricular Activities)
The total number of students is 1,000. Based on the pie chart, we can calculate the number of students in each extracurricular (ekskul) by using the angles of the sectors.

- **Menyanyi (126°)**: 
  \[
  \text{Menyanyi} = \frac{126}{360} \times 1000 = 350 \text{ students}
  \]
- **Futsal (72°)**:
  \[
  \text{Futsal} = \frac{72}{360} \times 1000 = 200 \text{ students}
  \]
- **Basket (72°)**:
  \[
  \text{Basket} = \frac{72}{360} \times 1000 = 200 \text{ students}
  \]
- **Volly (36°)**:
  \[
  \text{Volly} = \frac{36}{360} \times 1000 = 100 \text{ students}
  \]
- **Beladiri (54°)**:
  \[
  \text{Beladiri} = \frac{54}{360} \times 1000 = 150 \text{ students}
  \]

### 2. Average of Report Scores
The given scores are: 8, 7, 8, 9, 7, 7, 8, 7, 6, 8, 6, 9, 6.

To find the average:
\[
\text{Average} = \frac{\text{Sum of Scores}}{\text{Total Number of Scores}} = \frac{8+7+8+9+7+7+8+7+6+8+6+9+6}{13} = \frac{96}{13} \approx 7.38
\]

### 3. Average from a Frequency Table
The given table lists scores and their frequencies.

\[
\text{Weighted Average} = \frac{(4 \times 1) + (5 \times 6) + (6 \times 10) + (7 \times 12) + (8 \times 7) + (9 \times 4)}{1+6+10+12+7+4}
\]
\[
= \frac{4 + 30 + 60 + 84 + 56 + 36}{40} = \frac{270}{40} = 6.75
\]

### 4. Average of Score Ranges (Class Intervals)
Here, we calculate the average of grouped data by taking midpoints of each class interval.

\[
\text{Midpoint for } 70-72 = 71,\quad 73-75 = 74,\quad 76-78 = 77,\quad 79-81 = 80,\quad 82-84 = 83
\]
The average is calculated using the formula:
\[
\text{Weighted Average} = \frac{(71 \times 8) + (74 \times 12) + (77 \times 16) + (80 \times 10) + (83 \times 4)}{8 + 12 + 16 + 10 + 4}
\]
\[
= \frac{568 + 888 + 1232 + 800 + 332}{50} = \frac{3820}{50} = 76.4
\]

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Do you need further details or have any other questions?

Here are some related questions you might explore:
1. How would the answers change if the total number of students in the pie chart were 1,200?
2. Can you calculate the median score for the student in question 2?
3. How do you calculate the variance of the scores in question 3?
4. If the frequency table in question 3 were extended, how would that affect the average?
5. How is the mid-range calculated in question 4?

**Tip**: When working with frequency tables, make sure to use the midpoints for grouped data to compute averages accurately!

This image contains four math problems related to averages, frequency tables, and pie charts.

Solve problems involving averages and frequency tables with detailed steps. This problem covers concepts like weighted averages, pie chart calculations, and frequency distribution analysis, suitable for Grades 8-10.

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