Understanding the College Student Data

The question provides data about the distribution of undergraduate (UG) and postgraduate (PG) students across seven different colleges (A to G) in a city during the academic session 2020-21. We are given the total number of students across all colleges and the total number of UG students. We need to find the combined number of PG students from colleges B and C based on the percentage distribution given in the table.

Analyzing the Provided Data

Here is the key information given:

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

Step-by-Step Calculation of PG Students

Step 1: Calculate the Total Number of PG Students

The total number of students is the sum of total UG students and total PG students. We can find the total number of PG students by subtracting the total UG students from the total number of students.

Total PG students = Total students - Total UG students

Total PG students $$= 52,000 - 27,300$$

Total PG students $$= 24,700$$

So, there are 24,700 students studying at the PG level across all colleges.

Step 2: Find the Percentage of PG Students in Colleges B and C

From the table, we can see the percentage distribution of PG students for each college:

• Percentage of PG students in College B = 15%
• Percentage of PG students in College C = 12%

Step 3: Calculate the Number of PG Students in Colleges B and C Individually

To find the actual number of PG students in each college, we apply their respective percentages to the total number of PG students (24,700).

Number of PG students in College B $$= 15\% \text{ of } 24,700$$

Number of PG students in College B $$= \frac{15}{100} \times 24,700$$

Number of PG students in College B $$= 0.15 \times 24,700 = 3,705$$

Number of PG students in College C $$= 12\% \text{ of } 24,700$$

Number of PG students in College C $$= \frac{12}{100} \times 24,700$$

Number of PG students in College C $$= 0.12 \times 24,700 = 2,964$$

Step 4: Calculate the Total Number of PG Students from Colleges B and C Combined

To find the total number of PG students from colleges B and C taken together, we add the number of PG students from College B and College C.

Total PG students (B + C) = Number of PG students in College B + Number of PG students in College C

Total PG students (B + C) $$= 3,705 + 2,964$$

Total PG students (B + C) $$= 6,669$$

Alternatively, we can first sum the percentages for colleges B and C and then apply this combined percentage to the total number of PG students.

Combined percentage of PG students in B and C $$= 15\% + 12\% = 27\%$$

Total PG students (B + C) $$= 27\% \text{ of } 24,700$$

Total PG students (B + C) $$= \frac{27}{100} \times 24,700$$

Total PG students (B + C) $$= 0.27 \times 24,700 = 6,669$$

Both methods yield the same result.

Conclusion

The total number of students studying at the PG level from colleges B and C taken together is 6,669.

Revision Table: Key Data Points and Calculations

Additional Information: Data Interpretation Concepts

Data interpretation questions often involve analyzing tables, charts, or graphs to extract information and perform calculations. Key concepts include:

• Percentages: Understanding how to calculate percentages and apply them to total values.
• Ratios: Comparing quantities using division.
• Averages: Finding the central value of a set of numbers.
• Data Extraction: Carefully reading the table or chart to get the correct data points.
• Calculations: Performing basic arithmetic operations (addition, subtraction, multiplication, division) accurately.

Practicing with different types of data representations will help improve your data interpretation skills. Always read the question carefully to understand exactly what is being asked and which data points are relevant.