Analyzing College Student Data

The problem provides a table showing the distribution of students by percentage and the number of boys in six different colleges (A to F). The total number of students across all colleges is given as 12000.

We are asked to find the difference between the number of boys in College E and the total number of students in College F.

First, let's look at the provided data in the table:

Step 1: Find the total number of students in College F

The total number of students across all colleges is 12000.

The table shows that College F has 6% of the total students.

To find the number of students in College F, we calculate 6% of 12000.

Total students in College F = $\text{Total students} \times \text{Percentage of students in College F}$

Total students in College F = $12000 \times \frac{6}{100}$

Total students in College F = $12000 \times 0.06$

Total students in College F = $720$

Step 2: Identify the number of boys in College E

From the table, the number of boys in College E is directly given as 2400.

Number of boys in College E = $2400$

Step 3: Calculate the difference

We need to find the difference between the number of boys in College E and the total number of students in College F.

Difference = Number of boys in College E - Total students in College F

Difference = $2400 - 720$

Difference = $1680$

Thus, the difference between the number of boys in College E and the total number of students in College F is 1680.

Revision Table: Key Calculations

Additional Information on Data Analysis

• Understanding percentages is crucial for interpreting data distribution. A percentage represents a part out of one hundred.
• When working with percentages of a total, remember to convert the percentage to a decimal or fraction before multiplying by the total value. For example, 6% is equivalent to $6/100$ or $0.06$.
• Data tables are a common way to organize information clearly, making it easier to extract specific values needed for calculations.
• Difference questions require subtracting the smaller value from the larger value to find how much one quantity differs from another. In this case, we were specifically asked for the difference between two values, which implies subtraction.