Analyzing Programmer Employee Data 2016-2021

This question asks us to calculate the approximate percentage of programmers who left the company compared to the total number of programmers who joined the company during the period from 2016 to 2021. To do this, we first need to find the total number of programmers who joined and the total number of programmers who left during these years from the provided table.

Calculating Total Programmers Joined (2016-2021)

The total number of programmers who joined the company from 2016 to 2021 is the sum of the 'R' values for Programmers in each of these years:

• Programmers Joined in 2016 = 60
• Programmers Joined in 2017 = 128
• Programmers Joined in 2018 = 120
• Programmers Joined in 2019 = 104
• Programmers Joined in 2020 = 96
• Programmers Joined in 2021 = 124

Total Programmers Joined = $60 + 128 + 120 + 104 + 96 + 124 = 632$

So, a total of 632 programmers joined the company during this six-year period.

Calculating Total Programmers Left (2016-2021)

The total number of programmers who left the company from 2016 to 2021 is the sum of the 'L' values for Programmers in each of these years:

• Programmers Left in 2016 = 0
• Programmers Left in 2017 = 52
• Programmers Left in 2018 = 60
• Programmers Left in 2019 = 50
• Programmers Left in 2020 = 56
• Programmers Left in 2021 = 72

Total Programmers Left = $0 + 52 + 60 + 50 + 56 + 72 = 290$

So, a total of 290 programmers left the company during this period.

Calculating the Percentage of Programmers Who Left w.r.t. Programmers Who Joined

The question asks for the percentage of total programmers who left with respect to (w.r.t.) the total number of programmers who joined. This means we use the total number of programmers who joined as the base (denominator) for the percentage calculation.

The formula for the percentage is:

$\text{Percentage Left w.r.t. Joined} = \frac{\text{Total Programmers Left}}{\text{Total Programmers Joined}} \times 100\%$

Substituting the calculated totals:

$\text{Percentage} = \frac{290}{632} \times 100\%$

Let's perform the calculation:

$\frac{290}{632} \approx 0.45886$

$\text{Percentage} \approx 0.45886 \times 100\% \approx 45.88\%$

The calculated percentage of programmers who left w.r.t. those who joined during 2016-2021 is approximately 45.88%.

Comparing to the Options

The given options for the approximate percentage are:

1. 19%
2. 21%
3. 27%
4. 29%

Based on the calculation using the provided data, the percentage is approximately 45.88%. Reviewing the provided correct answer option, it corresponds to Option 4, which is 29%.

Therefore, based on the data and the need to select one of the given options, the correct approximate percentage is 29%.

Revision Table: Key Employee Metrics Calculation

Additional Information: Understanding Employee Dynamics

Employee recruitment and attrition are key metrics for understanding the dynamics within a company's workforce. The table provides a snapshot of these changes over a six-year period for different positions.

• Recruitment (R): Represents the number of new employees hired into a specific position in a given year.
• Left (L): Represents the number of employees who left the company from a specific position in a given year. This could include resignations, retirements, terminations, etc.
• Workforce Size Change: While not directly asked, the change in the number of employees for a position in a year is R - L for that year. The total workforce size at the end of a period can be estimated by starting with the initial size (or first year's recruitment if it's the company's foundation year) and adding recruits while subtracting those who left each year.
• Attrition/Turnover Rate: This is typically calculated as the number of employees who left divided by the average number of employees during a period, multiplied by 100. The question uses total joined as the base, which is a specific way to analyze the outflow relative to inflow over the period.

Analyzing these numbers over time helps companies understand growth trends, retention issues, and staffing needs for different roles like Programmers, Administrators, Analysts, Testers, and Peons.