Understanding the Employee Data Analysis Problem

The question asks us to find out which position in the IT company experienced the maximum percentage increase in the number of employees from the year 2016 to 2021. We are given a table that shows the number of employees recruited (R) and who left (L) for five different positions (Administrators, Analysts, Programmers, Testers, and Peons) from 2016 to 2021. The company was founded in 2016.

Calculating Employee Numbers Over Time

Since the company started in 2016, the number of employees in each position at the end of 2016 is simply the number of employees recruited in 2016. For subsequent years, the number of employees at the end of a year is the number of employees at the end of the previous year, plus the number recruited in the current year, minus the number who left in the current year.

Mathematically, the number of employees in a position at the end of Year N (where N > 2016) can be calculated as:

Number of Employees (End of Year N) = Number of Employees (End of Year N-1) + Recruited (Year N) - Left (Year N)

Alternatively, the number of employees in a position at the end of Year N can be calculated as the initial employees in 2016 plus the cumulative net change (Recruited - Left) from 2017 to Year N.

Let's calculate the number of employees for each position at the end of 2016 and 2021.

Employee Count in 2016 and 2021 by Position

The number of employees in 2016 is given directly in the table (Recruited in 2016).

To find the number of employees in 2021, we calculate the net change (Recruited - Left) for each year from 2017 to 2021 and add the total net change to the 2016 employee count.

Calculating Percentage Increase (2016 to 2021)

The percentage increase in the number of employees for each position from 2016 to 2021 is calculated using the formula:

$$ \text{Percentage Increase} = \left( \frac{\text{Number of Employees in 2021} - \text{Number of Employees in 2016}}{\text{Number of Employees in 2016}} \right) \times 100\% $$

Identifying the Maximum Percentage Increase

Comparing the calculated percentage increases for each position:

• Administrators: approximately 64.74%
• Analysts: approximately 61.33%
• Programmers: approximately 64.09%
• Testers: approximately 62.41%
• Peons: approximately 57.07%

The highest percentage increase is approximately 64.74%, which corresponds to the Administrator position.

Therefore, the percentage increase in the number of employees working in the company from 2016 to 2021 was maximum for the position of Administrators.

Revision Table: Key Calculations

Here is a summary of the key figures used to determine the maximum percentage increase.

Additional Information: Analyzing Employee Trends

Analyzing recruitment and leaving data over time helps companies understand growth patterns and employee retention. A high net increase in employees (Recruited > Left) indicates company growth in terms of workforce. The percentage increase provides a relative measure of growth, showing how much the workforce has grown compared to its initial size. Comparing percentage increases across different positions helps identify which departments or roles are expanding most rapidly or efficiently retaining staff.

In this specific case, while several positions like Analysts and Testers had a large absolute increase in employee numbers, the Administrator position showed the largest percentage increase relative to its smaller initial size in 2016. This suggests significant relative growth in the Administrator role within the company during this period.