A company has 3 departments with average salaries of $4000, $5000, and $6000. If

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Question: A company has 3 departments with average salaries of $4000, $5000, and $6000. If the number of employees in each department is 10, 15, and 20 respectively, what is the overall average salary?

Options:

$5000
$5200
$5400
$5600

Correct Answer: $5200

Solution:

Total salary = (10 * 4000) + (15 * 5000) + (20 * 6000) = 40000 + 75000 + 120000 = 235000. Total employees = 10 + 15 + 20 = 45. Average salary = 235000 / 45 = 5222.22, rounded to $5200.

A company has 3 departments with average salaries of $4000, $5000, and $6000. If

Practice Questions

A company has 3 departments with average salaries of $4000, $5000, and $6000. If the number of employees in each department is 10, 15, and 20 respectively, what is the overall average salary?

$5000
$5200
$5400
$5600

Questions & Step-by-Step Solutions

A company has 3 departments with average salaries of $4000, $5000, and $6000. If the number of employees in each department is 10, 15, and 20 respectively, what is the overall average salary?

Step 1: Identify the average salaries of each department: Department 1 has $4000, Department 2 has $5000, and Department 3 has $6000.
Step 2: Identify the number of employees in each department: Department 1 has 10 employees, Department 2 has 15 employees, and Department 3 has 20 employees.
Step 3: Calculate the total salary for each department by multiplying the average salary by the number of employees:
- For Department 1: 10 employees * $4000 = $40000.
- For Department 2: 15 employees * $5000 = $75000.
- For Department 3: 20 employees * $6000 = $120000.
Step 4: Add the total salaries of all departments together: $40000 + $75000 + $120000 = $235000.
Step 5: Calculate the total number of employees by adding the number of employees in all departments: 10 + 15 + 20 = 45.
Step 6: Calculate the overall average salary by dividing the total salary by the total number of employees: $235000 / 45 = $5222.22.
Step 7: Round the average salary to the nearest hundred: $5222.22 rounds to $5200.

Weighted Average Calculation – The question tests the ability to calculate a weighted average based on different groups with varying sizes and average values.
Basic Arithmetic Operations – The question requires performing multiplication, addition, and division to arrive at the final answer.

A company has 3 departments with average salaries of $4000, $5000, and $6000. If

What’s inside this PDF?

A company has 3 departments with average salaries of $4000, $5000, and $6000. If

Practice Questions

Questions & Step-by-Step Solutions

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