Solving College Student Data Interpretation

This problem requires us to use the provided table data showing the percentage distribution of students and the number of boys in six different colleges (A-F) to find the sum of girls in College C, boys in College D, and girls in College E.

We are given the total number of students across all six colleges is 12000.

Calculating Number of Girls and Boys for Required Colleges

To find the required sum, we need to calculate the number of girls in College C, the number of boys in College D, and the number of girls in College E.

1. Calculate Girls in College C

• First, find the total number of students in College C. The table shows that College C has 26% of the total students.
• Total students in College C = Total students $\times$ Percentage in College C
• Total students in College C = $12000 \times \frac{26}{100}$
• Total students in College C = $120 \times 26 = 3120$
• The table states that the number of boys in College C is 1800.
• Number of girls in College C = Total students in College C - Number of boys in College C
• Number of girls in College C = $3120 - 1800 = 1320$

2. Identify Boys in College D

• The table directly provides the number of boys in College D.
• Number of boys in College D = 1200

3. Calculate Girls in College E

• First, find the total number of students in College E. The table shows that College E has 29% of the total students.
• Total students in College E = Total students $\times$ Percentage in College E
• Total students in College E = $12000 \times \frac{29}{100}$
• Total students in College E = $120 \times 29 = 3480$
• The table states that the number of boys in College E is 2400.
• Number of girls in College E = Total students in College E - Number of boys in College E
• Number of girls in College E = $3480 - 2400 = 1080$

Calculating the Total Sum

Now, we need to find the sum of girls in College C, boys in College D, and girls in College E.

• Sum = (Girls in College C) + (Boys in College D) + (Girls in College E)
• Sum = $1320 + 1200 + 1080$
• Sum = $2520 + 1080$
• Sum = $3600$

The total sum of the number of girls in College C, boys in College D, and girls in College E together is 3600.

Revision Table: College Student Data Summary

Additional Information: Data Interpretation Tips

Data interpretation questions test your ability to analyze information presented in tables, charts, or graphs. Here are some tips for solving such problems:

• Read Carefully: Understand the question and the data presented. Pay attention to units (e.g., percentage, absolute numbers, thousands, lakhs) and totals.
• Scan the Data: Get a general overview of the table or chart. Look at headings, columns, and rows.
• Identify Required Data: Pinpoint exactly which data points are needed to answer the specific question.
• Perform Calculations: Carry out the necessary calculations accurately. Use formulas for percentages, ratios, averages, etc., as required.
• Break Down Complex Questions: If a question involves multiple steps, break it down into smaller, manageable calculations.
• Check Your Work: After calculating, quickly review your steps to minimize errors.
• Use Rough Space Wisely: Organize your calculations neatly in your rough work area.

In this problem, we converted percentages into absolute numbers of students and then used the number of boys to find the number of girls. Always double-check which gender and which college you are asked about before adding them up.