College Employee Data Analysis for College C

The question provides a table showing employee data for four colleges (A, B, C, D) with some missing values. We need to find the sum of non-teaching males and non-teaching females in College C, using the given additional conditions.

Here is the provided table data:

Understanding the Question for College C

We are specifically interested in College C. The question gives us two pieces of information about College C:

1. The number of females in College C is 147 more than the number of females in College A.
2. The sum of teaching males and teaching females in College C is 115.

We need to find the sum of non-teaching males and non-teaching females in College C.

Step-by-Step Calculation for College C Data

Step 1: Find the number of females in College A.

From the table, for College A:

• Total Employees = 756
• Male Employees = 526

Total Employees = Male Employees + Female Employees

So, Female Employees in College A = Total Employees in A - Male Employees in A

\(\text{Female Employees in A} = 756 - 526 = 230\)

There are 230 females in College A.

Step 2: Find the number of females in College C.

According to the first condition, the number of females in College C is 147 more than the number of females in College A.

\(\text{Female Employees in C} = \text{Female Employees in A} + 147\)

\(\text{Female Employees in C} = 230 + 147 = 377\)

There are 377 females in College C.

Step 3: Find the total number of employees in College C.

From the table, for College C:

• Male Employees = 159

We just calculated Female Employees in College C = 377.

Total Employees in College C = Male Employees in C + Female Employees in C

\(\text{Total Employees in C} = 159 + 377 = 536\)

There are 536 employees in College C.

Step 4: Find the sum of non-teaching males and non-teaching females in College C.

The total number of employees in a college is the sum of teaching staff and non-teaching staff.

Total Employees = (Teaching Males + Teaching Females) + (Non-Teaching Males + Non-Teaching Females)

We want to find (Non-Teaching Males + Non-Teaching Females) in College C.

From the second condition, we know that (Teaching Males + Teaching Females) in College C = 115.

We calculated Total Employees in College C = 536.

So, \(536 = 115 + (\text{Non-Teaching Males in C} + \text{Non-Teaching Females in C})\)

Sum of Non-Teaching staff in C = Total Employees in C - Sum of Teaching staff in C

\(\text{Non-Teaching Males in C} + \text{Non-Teaching Females in C} = 536 - 115\)

\(\text{Non-Teaching Males in C} + \text{Non-Teaching Females in C} = 421\)

Result

The sum of non-teaching males and non-teaching females in College C is 421.

Revision Table: College C Calculations

Additional Information: Data Interpretation Basics

Data interpretation questions often require calculating missing values based on the relationships between different data points presented in tables or charts. Key relationships in employee data typically include:

• Total Employees = Males + Females
• Males = Teaching Males + Non-Teaching Males
• Females = Teaching Females + Non-Teaching Females
• Total Employees = Teaching Staff + Non-Teaching Staff
• Teaching Staff = Teaching Males + Teaching Females
• Non-Teaching Staff = Non-Teaching Males + Non-Teaching Females

By using these relationships and any additional information provided in the question, you can deduce the missing values and answer the specific query.