https://file.aiquickdraw.com/mathbot/file/1726603018636obe88rko.jpg

To solve this problem, we first need to find the average preparation time for a randomly selected dish.

### Step 1: Extract the given data

From the table in the image:
- 2 dishes: 10 minutes each
- 4 dishes: 15 minutes each
- 3 dishes: 20 minutes each
- 1 dish: 25 minutes

### Step 2: Calculate total preparation time for all dishes

- For the 2 dishes taking 10 minutes each: \(2 \times 10 = 20\) minutes
- For the 4 dishes taking 15 minutes each: \(4 \times 15 = 60\) minutes
- For the 3 dishes taking 20 minutes each: \(3 \times 20 = 60\) minutes
- For the 1 dish taking 25 minutes: \(1 \times 25 = 25\) minutes

Now, we sum these times to get the total preparation time:
\[
20 + 60 + 60 + 25 = 165 \text{ minutes}
\]

### Step 3: Calculate the total number of dishes

Total dishes = \(2 + 4 + 3 + 1 = 10\) dishes.

### Step 4: Find the average preparation time

The average preparation time is given by the total preparation time divided by the total number of dishes:
\[
\text{Average time} = \frac{165 \text{ minutes}}{10} = 16.5 \text{ minutes}
\]

### Step 5: Choose the correct answer

The correct answer is **16.5 minutes**.

### Would you like further explanation or details?

Here are some related questions to expand your understanding:

1. What would the average time be if one of the dishes took 30 minutes instead of 25 minutes?
2. How would the average change if three more dishes were added, each taking 12 minutes?
3. What is the impact of removing the longest preparation time on the average?
4. How can we calculate the median preparation time for this data?
5. How would adding more dishes with varying times affect the average preparation time?

**Tip:** Always double-check each step in your calculations to avoid mistakes, especially when handling multiple sets of data.

What is the average preparation time of a randomly selected dish from the table?

Find out how to calculate the average preparation time for a dish using the formula: Average = (Total preparation time) / (Number of dishes). This problem includes simple arithmetic and basic averaging concepts. Suitable for Grades 6-8 students.

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