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The document you uploaded contains various mathematical problems, primarily focused on statistics, averages, and grouped data. I'll start by solving the first problem, which is to calculate the average percentage of damaged goods based on the following dataThe document you uploaded contains various mathematical problems, primarily focused on statistics, averages, and grouped data. I'll start by solving the first problem, which is to calculate the average percentage of damaged goods based on the following 

| **Jenis Barang** | **Disimpan** | **Rusak** | **% Rusak** |
|------------------|--------------|-----------|-------------|
| A                | 100          | 96        | 96          |
| B                | 200          | 92        | 46          |
| C                | 160          | 80        | 50          |
| D                | 80           | 60        | 75          |
| **Jumlah**        | **540**      | **328**   | ?           |

### Step 1: Calculate the Percentage for Each Item
The percentage of damaged goods for each type of item is calculated as:

\[
\% \text{ Rusak} = \left(\frac{\text{Rusak}}{\text{Disimpan}} \times 100\right)
\]

This has already been done in the table, so we have:
- A: \( 96\% \)
- B: \( 46\% \)
- C: \( 50\% \)
- D: \( 75\% \)

### Step 2: Calculate the Weighted Average Percentage
Since the number of stored items is different for each type, we need to compute the weighted average percentage. The formula is:

\[
\% \text{ rata-rata rusak} = \frac{\sum (\text{Disimpan} \times \% \text{ Rusak})}{\sum \text{Disimpan}}
\]

I'll calculate this for you:

\[
\% \text{ rata-rata rusak} = \frac{(100 \times 96) + (200 \times 46) + (160 \times 50) + (80 \times 75)}{540}
\]

Let me compute this.The average percentage of damaged goods across all items is approximately **60.74%**.

Do you have any questions or need further clarification?

Here are 5 related questions to expand on this:
1. How is the concept of weighted averages applied in other real-life situations?
2. How would the average percentage change if the number of damaged items increased for item B?
3. Can you calculate the median percentage of damage from this data?
4. What is the standard deviation of the percentage of damage for these items?
5. How can you visualize the distribution of damaged goods effectively?

**Tip:** Weighted averages are especially useful when different groups contribute unequally to the total outcome, as seen in this problem.

Learn how to calculate the weighted average percentage of damaged goods across different product types. This problem involves statistics, weighted averages, and grouped data, making it suitable for high school students.

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