Calculating Total Students in College E: A Data Interpretation Solution

This problem requires us to analyze the provided table showing the percentage distribution of undergraduate (UG) and postgraduate (PG) students across seven different colleges (A-G) in a city. We are given the total number of students and the total number of UG students across all colleges for the academic session 2020-21. Our goal is to find the total number of UG and PG level students specifically in College E.

Understanding the Given Data

We are given the following key pieces of information:

• Total number of students in all colleges = 52,000
• Total number of UG students in all colleges = 27,300
• The table shows the percentage distribution of UG and PG students for each college.

Step-by-Step Calculation for College E Students

To find the total number of UG and PG students in College E, we need to calculate the actual number of UG students in College E and the actual number of PG students in College E separately, and then add them together.

Step 1: Calculate the Total Number of PG Students Across All Colleges

The total number of students is the sum of total UG students and total PG students across all colleges.

Total Students = Total UG Students + Total PG Students

We can find the total number of PG students by subtracting the total number of UG students from the total number of students.

Total PG Students = Total Students - Total UG Students

Total PG Students = \(52,000 - 27,300 = 24,700\)

So, there are 24,700 PG students in total across all seven colleges.

Step 2: Calculate the Number of UG Students in College E

From the table, College E has 18% of the total UG students.

Number of UG Students in College E = 18% of Total UG Students

Number of UG Students in College E = \(\frac{18}{100} \times 27,300\)

Number of UG Students in College E = \(0.18 \times 27,300 = 4914\)

So, there are 4914 UG students in College E.

Step 3: Calculate the Number of PG Students in College E

From the table, College E has 14% of the total PG students.

Number of PG Students in College E = 14% of Total PG Students

Number of PG Students in College E = \(\frac{14}{100} \times 24,700\)

Number of PG Students in College E = \(0.14 \times 24,700 = 3458\)

So, there are 3458 PG students in College E.

Step 4: Calculate the Total Number of Students (UG + PG) in College E

The total number of students in College E is the sum of UG students in College E and PG students in College E.

Total Students in College E = Number of UG Students in College E + Number of PG Students in College E

Total Students in College E = \(4914 + 3458 = 8372\)

Conclusion

Based on the data and calculations, the total number of UG and PG level students in College E is 8372.

Revision Table: Key Data Points

Additional Information: Data Interpretation Tips

Data interpretation questions often involve analyzing tables, charts, or graphs to extract required information and perform calculations. Here are some tips for solving such problems:

• Read the question carefully to understand exactly what is being asked.
• Identify all the given data points and understand what they represent (e.g., total numbers, percentages, ratios).
• Look for relationships between different data points (e.g., how total students relate to UG and PG students).
• Break down the problem into smaller, manageable steps.
• Pay attention to units (percentages, absolute numbers).
• Double-check your calculations to avoid errors.
• Ensure you use the correct base for percentage calculations (e.g., percentage of total UG students, percentage of total PG students, or percentage of total overall students). In this problem, UG percentages are based on total UG students, and PG percentages are based on total PG students.

Practicing different types of data interpretation problems from various sources will help improve your speed and accuracy.