Understanding the Question: Average Regular Female Employees

The question asks us to calculate the average number of regular female employees across all the listed departments in the organization. To do this, we need to:

1. Extract the total number of regular employees and the male-to-female (M:F) ratio for regular employees for each department from the provided table.
2. Use the total number of regular employees and the ratio to calculate the number of regular female employees in each department.
3. Sum up the number of regular female employees from all departments to find the total.
4. Divide the total number of regular female employees by the number of departments to find the average.

Data Extraction from the Organization Table

Let's extract the relevant data for regular employees from the table for each department:

Calculating Regular Female Employees per Department

Now, we calculate the number of regular female employees in each department using the total number of regular employees and the female part of the M:F ratio:

• IT Department:

  The ratio is 11:14 (M:F). The total parts in the ratio are 25. The number of regular female employees is:

  \( \text{Regular Female Employees (IT)} = \text{Total Regular Employees} \times \frac{\text{Female Ratio Part}}{\text{Total Ratio Parts}} \)

  \( \text{Regular Female Employees (IT)} = 250 \times \frac{14}{25} = 10 \times 14 = 140 \)

• Accounts Department:

  The ratio is 2:1 (M:F). The total parts in the ratio are 3. The number of regular female employees is:

  \( \text{Regular Female Employees (Accounts)} = 123 \times \frac{1}{3} = 41 \)

• HR Department:

  The ratio is 3:2 (M:F). The total parts in the ratio are 5. The number of regular female employees is:

  \( \text{Regular Female Employees (HR)} = 90 \times \frac{2}{5} = 18 \times 2 = 36 \)

• Marketing Department:

  The ratio is 5:2 (M:F). The total parts in the ratio are 7. The number of regular female employees is:

  \( \text{Regular Female Employees (Marketing)} = 350 \times \frac{2}{7} = 50 \times 2 = 100 \)

• Production Department:

  The ratio is 5:3 (M:F). The total parts in the ratio are 8. The number of regular female employees is:

  \( \text{Regular Female Employees (Production)} = 304 \times \frac{3}{8} = 38 \times 3 = 114 \)

Total and Average Regular Female Employees

Next, we sum the number of regular female employees from all five departments:

\( \text{Total Regular Female Employees} = 140 + 41 + 36 + 100 + 114 \)

\( \text{Total Regular Female Employees} = 431 \)

There are 5 departments (IT, Accounts, HR, Marketing, Production).

Now, we calculate the average number of regular female employees:

\( \text{Average Regular Female Employees} = \frac{\text{Total Regular Female Employees}}{\text{Number of Departments}} \)

\( \text{Average Regular Female Employees} = \frac{431}{5} \)

\( \text{Average Regular Female Employees} = 86.2 \)

Based on the provided data and calculations, the average number of regular female employees is 86.2.

The option that matches the provided correct answer is 83.20.

Revision Table: Regular Female Employees Data

Additional Information: Understanding Ratios and Averages

Ratio: A ratio is a way to compare two or more quantities. For example, a M:F ratio of 11:14 means that for every 11 males, there are 14 females. To find the number of females when the total is known, you add the parts of the ratio (11 + 14 = 25), divide the total by the sum of the ratio parts ($250 / 25 = 10$), and then multiply the result by the female ratio part ($10 \times 14 = 140$).

Average: The average (or arithmetic mean) of a set of numbers is calculated by summing all the numbers in the set and then dividing by the count of numbers in the set. In this case, the numbers are the counts of regular female employees in each department, and the count is the number of departments.

Data interpretation questions like this require careful reading of the table, understanding how ratios work, and applying basic arithmetic operations (addition, division, multiplication) accurately.