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The question asks for the average (arithmetic mean) number of vehicles per type per color, rounded to the nearest whole number.

We have:
- 5 vehicle types (4-door sedan, 2-door sedan, minivan, sport-utility, station wagon)
- 6 vehicle colors (Black, Brown, Green, Red, Silver, White)

The total number of vehicles is 500.

### Step 1: Total number of combinations
The total number of combinations of vehicle types and colors is:
\[
5 \text{ vehicle types} \times 6 \text{ colors} = 30 \text{ combinations}.
\]

### Step 2: Calculate the average
To find the average number of vehicles per combination, we divide the total number of vehicles by the number of combinations:
\[
\frac{500 \text{ vehicles}}{30 \text{ combinations}} = 16.67.
\]
Rounded to the nearest whole number, the result is **17**.

So the correct answer is **17**.

Would you like further details on this calculation or another question?

### Related questions:
1. How would you calculate the mode of the number of vehicles by color?
2. What is the total number of sedans in the inventory?
3. What is the average number of vehicles per color across all vehicle types?
4. How would you calculate the median number of vehicles for each vehicle type?
5. What would happen if a seventh color were added with the same number of total vehicles?

**Tip:** When calculating averages, always ensure that the groups you're averaging over are consistent to avoid errors.

For the 5 vehicle types and 6 vehicle colors, what is the average (arithmetic mean) number of vehicles per type per color, rounded to the nearest whole number?

Learn how to calculate the arithmetic mean for the number of vehicles across 5 types and 6 colors in a car dealership's inventory. This involves dividing the total number of vehicles by the combinations of types and colors. Suitable for students in Grades 6-8.

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