Calculating Total Male Students in Computer and Mining Departments

This problem requires us to analyze the provided table showing the number of students, percentage of females, and percentage of males in different departments of an institute. We need to find the combined total number of male students specifically in the Computer and Mining Departments.

First, let's look at the data for the relevant departments:

Step-by-Step Calculation

To find the total number of male students in the Computer and Mining departments, we need to calculate the number of male students in each department separately and then add them together.

1. Calculate Male Students in the Computer Department:

• Total students in Computer Department = 840
• Percentage of male students in Computer Department = 55%
• Number of male students in Computer = \( \text{Total Students} \times \frac{\text{Percentage of Male}}{100} \)
• Number of male students in Computer = \( 840 \times \frac{55}{100} \)
• Number of male students in Computer = \( 840 \times 0.55 \)
• Number of male students in Computer = \( 462 \)

2. Calculate Male Students in the Mining Department:

• Total students in Mining Department = 540
• Percentage of male students in Mining Department = 60%
• Number of male students in Mining = \( \text{Total Students} \times \frac{\text{Percentage of Male}}{100} \)
• Number of male students in Mining = \( 540 \times \frac{60}{100} \)
• Number of male students in Mining = \( 540 \times 0.60 \)
• Number of male students in Mining = \( 324 \)

3. Calculate the Total Male Students in Computer and Mining Departments:

• Total male students = Male students in Computer + Male students in Mining
• Total male students = \( 462 + 324 \)
• Total male students = \( 786 \)

Conclusion

The total number of male students in the Computer and Mining departments together is 786.

Revision Table - Student Data Analysis

Let's quickly review the calculations:

Total male students (Computer + Mining) = \( 462 + 324 = 786 \).

Additional Information - Percentage Calculations

Understanding how to calculate percentages is crucial for data interpretation questions like this. A percentage represents a fraction of 100. To find a percentage of a number, you convert the percentage to a decimal by dividing by 100 and then multiply by the number. For example, 55% of 840 is calculated as \( \frac{55}{100} \times 840 \) or \( 0.55 \times 840 \). Data interpretation tables often require calculating values based on given percentages and totals.