Analyzing Employee Data for College A

The question asks us to find the difference between non-teaching males and non-teaching females in College A, using the provided table and a specific condition relating teaching and non-teaching females.

Extracting Data for College A

First, let's look at the available data for College A from the table:

Calculating Missing Values in College A

From the table, we can calculate some missing values:

• Total Employees in College A = 756
• Male Employees in College A = 526
• Female Employees in College A = Total Employees - Male Employees
• Female Employees in College A = \(756 - 526 = 230\)

Also,

• Male Employees in College A = Teaching Males + Non-Teaching Males
• 526 = 325 + Non-Teaching Males
• Non-Teaching Males in College A = \(526 - 325 = 201\)

The total female employees consist of Teaching Females and Non-Teaching Females:

• Teaching Females + Non-Teaching Females = Female Employees
• Teaching Females + Non-Teaching Females = 230

Using the Given Condition for Females

The question provides a condition: "the number of non teaching females is 2 more than half the number of teaching females".

Let T be the number of teaching females and NT be the number of non-teaching females.

The condition can be written as an equation:

\(NT = \frac{T}{2} + 2\)

Solving for Teaching and Non-Teaching Females

We have two equations for the number of female employees:

1. \(T + NT = 230\)
2. \(NT = \frac{T}{2} + 2\)

Substitute the second equation into the first one:

\(T + (\frac{T}{2} + 2) = 230\)

Combine the terms with T:

\(T + \frac{T}{2} = 230 - 2\)

\(\frac{3T}{2} = 228\)

Solve for T:

\(3T = 228 \times 2\)

\(3T = 456\)

\(T = \frac{456}{3}\)

\(T = 152\)

So, the number of teaching females is 152.

Now, find the number of non-teaching females using \(NT = 230 - T\):

\(NT = 230 - 152\)

\(NT = 78\)

Alternatively, using the condition \(NT = \frac{T}{2} + 2\):

\(NT = \frac{152}{2} + 2\)

\(NT = 76 + 2\)

\(NT = 78\)

Both methods give the same result for non-teaching females, 78.

Calculating the Difference

We need to find the difference between non-teaching males and non-teaching females.

• Non-Teaching Males = 201 (calculated earlier)
• Non-Teaching Females = 78 (calculated above)

Difference = Non-Teaching Males - Non-Teaching Females

Difference = \(201 - 78\)

Difference = 123

The difference between non-teaching males and non-teaching females in College A is 123.

Revision Table: College A Employee Data

Additional Information: Understanding Data Tables

Data interpretation questions often use tables to present information in a structured format. To solve such questions, it's important to:

• Carefully read the question and understand what is being asked.
• Identify the relevant data points in the table.
• Use the relationships given within the question or implied by the table structure (like total = sum of parts) to calculate missing values.
• Set up equations if necessary, based on given conditions.
• Perform calculations accurately.
• Ensure the final answer addresses the specific question asked.

In this problem, we used basic arithmetic and simple algebraic substitution to find the required values and the final difference based on the employee data provided for College A.