Calculating an Individual Salary from the Average: A Case Study

Understanding the relationship between average salary, total salary, and individual worker's salary is a fundamental concept in labor economics. This article will walk you through a practical example, providing step-by-step instructions for calculating an individual's salary when only the average salary of a group and the details of two individuals are known.

Introduction to Salary Averages

The average salary is a frequently used measure in human resources and labor market analysis, providing a convenient way to understand the general income level of a workforce. In this scenario, we have the average salary of three workers and the individual details of two workers. Our goal is to find the salary of the third worker. This can be a useful skill for HR professionals, business analysts, and anyone interested in labor market dynamics.

Given Data and Formula Overview

The given data includes the following:

Average salary of three workers 2500 Salary of the first worker 1500 Salary of the second worker 4500

We will use the basic formula for the average salary to solve for the total salary of the three workers:

[text{Average} frac{text{Total Salary}}{text{Number of Workers}}]

Calculating the Total Salary

Using the given average salary and number of workers, we can calculate the total salary of the three workers as follows:

[text{Total Salary} text{Average} times text{Number of Workers} 2500 times 3 7500]

This total salary is the sum of the individual salaries of all three workers.

Subtracting Known Salaries to Find the Third's Salary

Now, we know the salaries of the first two workers:

Salary of the first worker 1500 Salary of the second worker 4500

Using these details, we can calculate the salary of the third worker. The total salary is the sum of the individual salaries, so we need to subtract the known salaries of the first two workers from the total salary:

[text{Salary of Third Worker} text{Total Salary} - (text{Salary of First Worker} text{Salary of Second Worker})]

Substituting the known values:

[text{Salary of Third Worker} 7500 - (1500 4500) 7500 - 6000 1500]

Therefore, the salary of the third worker is 1500.

Conclusion

This example has demonstrated how to calculate the individual salary of a worker when the average salary and the details of the other two workers are known. This method can be applied in various real-world scenarios, such as restructuring a team or analyzing labor market trends.