shows the number of high school employees by gender and position. What percent of the employees are administrators or staff? Round your answer to the nearest percent. High School Employees Faculty Members Administrators Staff Physical Plant Personnel Total Female 62 4 30 1 97 Male 43 3 8 2 56 Total 105 7 38 3 153 34% 22% 76%
The Correct Answer and Explanation is:
To find the percentage of employees who are administrators or staff, we add the number of administrators and staff, then divide by the total number of employees, and multiply by 100:
Step 1: Add administrators and staff
- Administrators = 7
- Staff = 38
- Total administrators and staff = 7 + 38 = 45
Step 2: Total number of employees
- Total employees = 153
Step 3: Calculate the percentage
Percentage=(45153)×100≈29.41%\text{Percentage} = \left(\frac{45}{153}\right) \times 100 \approx 29.41\%
Step 4: Round to the nearest percent
29%\boxed{29\%}
Explanation:
In this problem, we are given a breakdown of high school employees by gender and job position, and we are asked to calculate what percentage of the total workforce is composed of administrators or staff.
To solve the problem, we begin by identifying the total number of administrators and staff. From the data, there are 7 administrators (4 female and 3 male) and 38 staff members (30 female and 8 male). Together, these two categories total 45 employees.
Next, we need to determine the total number of employees in the high school, which includes faculty members, administrators, staff, and physical plant personnel. The sum of all employees across categories and genders is 153.
To find the percentage of employees who are administrators or staff, we divide the number of administrators and staff (45) by the total number of employees (153), then multiply the result by 100 to convert it into a percentage. This gives: 45153×100≈29.41%\frac{45}{153} \times 100 \approx 29.41\%
When rounding 29.41% to the nearest whole number, we get 29%.
This percentage tells us that a little under one-third of the high school workforce holds positions classified as either administrators or staff, which provides insight into the school’s personnel structure. Such information is valuable for organizational planning, budgeting, and human resources analysis.
