Calculating Total Male Students in College Courses

This problem requires us to carefully analyze the provided table which gives details about the total number of students in different courses offered by a college, along with the percentage distribution of male and female students within each course. Our goal is to find the total number of male students across all these courses.

Understanding the Data Table

The table contains the following information for each course:

• Course Name (B.Sc., B.A., M.Sc., M.A., PhD)
• Total number of students in that course
• Percentage of male students in that course
• Percentage of female students in that course

Step-by-Step Calculation of Male Students per Course

To find the number of male students in each course, we need to calculate the given percentage of male students out of the total number of students for that specific course. The formula for calculating a percentage of a number is:

\(\text{Number of male students} = \text{Total students} \times \frac{\text{Percentage of male students}}{100}\)

Let's apply this formula to each course:

B.Sc. Male Students:

Total students = 400

Percentage of male students = 65%

\(\text{Number of male students (B.Sc.)} = 400 \times \frac{65}{100} = 4 \times 65 = 260\)

B.A. Male Students:

Total students = 650

Percentage of male students = 54%

\(\text{Number of male students (B.A.)} = 650 \times \frac{54}{100} = 6.5 \times 54\)

Calculation of \(6.5 \times 54\):

\(6.5 \times 54 = (6 + 0.5) \times 54 = 6 \times 54 + 0.5 \times 54 = 324 + 27 = 351\)

\(\text{Number of male students (B.A.)} = 351\)

M.Sc. Male Students:

Total students = 280

Percentage of male students = 75%

\(\text{Number of male students (M.Sc.)} = 280 \times \frac{75}{100} = 280 \times \frac{3}{4} = 70 \times 3 = 210\)

M.A. Male Students:

Total students = 340

Percentage of male students = 55%

\(\text{Number of male students (M.A.)} = 340 \times \frac{55}{100} = 3.4 \times 55\)

Calculation of \(3.4 \times 55\):

\(3.4 \times 55 = 3.4 \times (50 + 5) = 3.4 \times 50 + 3.4 \times 5 = 170 + 17 = 187\)

\(\text{Number of male students (M.A.)} = 187\)

PhD Male Students:

Total students = 180

Percentage of male students = 65%

\(\text{Number of male students (PhD)} = 180 \times \frac{65}{100} = 1.8 \times 65\)

Calculation of \(1.8 \times 65\):

\(1.8 \times 65 = 1.8 \times (60 + 5) = 1.8 \times 60 + 1.8 \times 5 = 108 + 9 = 117\)

\(\text{Number of male students (PhD)} = 117\)

Summarizing Male Students per Course

Here is a summary of the number of male students in each course:

• B.Sc.: 260
• B.A.: 351
• M.Sc.: 210
• M.A.: 187
• PhD: 117

Calculating the Total Number of Male Students

To find the total number of male students in the college, we add the number of male students from all the courses:

\(\text{Total male students} = \text{Male students (B.Sc.)} + \text{Male students (B.A.)} + \text{Male students (M.Sc.)} + \text{Male students (M.A.)} + \text{Male students (PhD)}\)

\(\text{Total male students} = 260 + 351 + 210 + 187 + 117\)

Let's sum these numbers:

\(260 + 351 = 611\)

\(611 + 210 = 821\)

\(821 + 187 = 1008\)

\(1008 + 117 = 1125\)

So, the total number of male students in the college is 1125.

Conclusion

By calculating the number of male students in each course based on the provided percentages and total students, and then summing these values, we found the total number of male students in the college.

Revision Table: Total Male Students Calculation

Additional Information: Percentage Calculations and Data Analysis

Understanding how to calculate percentages is a fundamental skill in data analysis. A percentage represents a part out of a hundred. To find a percentage of a number, you can convert the percentage to a decimal by dividing by 100 and then multiply by the number. For example, 65% is equal to 65/100 or 0.65.

This problem is an example of data interpretation from a table. Tables are used to organize data in rows and columns, making it easier to read and analyze. When working with data tables, it's important to correctly identify what each row and column represents before performing calculations.

Data analysis skills are useful in many areas, including academics, finance, and research. Being able to extract information and perform calculations based on provided data helps in understanding trends, making comparisons, and drawing conclusions.

In this specific problem, we used the percentage information for male students. We could similarly calculate the total number of female students using the percentages in the last column and verifying that the sum of male and female students in each course equals the total number of students for that course (e.g., for B.Sc., 260 male + number of female students = 400).