The Little Car Store lists the average salary for the different leveled positions in the company, as shown in the table below. Calculate the weighted average for the salary of employees at The Little Car Store.

Level

Salary

Percent of Employees

1

$28,000

42%

2

$42,000

36%

3

$65,000

15%

4

$450,000

7%

To calculate the weighted average salary for employees at The Little Car Store, we multiply each salary by the percentage of employees at that level and then sum the results.

Here’s the calculation:

\[
\text{Weighted Average} = \sum (\text{Salary} \times \text{Percent of Employees})
\]

### Step-by-step calculation:

1. **Level 1:**  
   $ 28,000 \times 0.42 = 11,760 $

2. **Level 2:**  
   $ 42,000 \times 0.36 = 15,120 $

3. **Level 3:**  
   $ 65,000 \times 0.15 = 9,750 $

4. **Level 4:**  
   $ 450,000 \times 0.07 = 31,500 $

### Summing these values:
\[
11,760 + 15,120 + 9,750 + 31,500 = 68,130
\]

### Therefore, the weighted average salary is:
\[
\boxed{68,130}
\]

Would you like any further details or explanations?

Here are 5 relative questions to deepen understanding:
1. How does a change in the percentage of Level 4 employees affect the weighted average?
2. What happens to the weighted average if the salary for Level 3 increases?
3. How would the result differ if the highest salary (Level 4) was lower, say $300,000?
4. What is the impact of adding a new salary level with a very low percentage of employees?
5. How does this calculation reflect the overall salary distribution across the company?

**Tip:** Weighted averages emphasize categories with higher weights (in this case, percentages), which is why Level 4 has a significant impact despite its small percentage.

The Little Car Store lists the average salary for the different leveled positions in the company, as shown in the table below. Calculate the weighted average for the salary of employees at The Little Car Store.

Learn how to calculate the weighted average salary for employees at The Little Car Store. This example uses salary data from four levels of employees and their respective percentages to demonstrate the weighted average formula. Suitable for Grades 9-11.

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