Understanding the Sportspersons Data Analysis

This question requires us to analyze the provided data about sportspersons participating in the Asian Games from different countries. We are given the total number of sportspersons, the ratio of male to female participants, and the percentage distribution of total sportspersons and male sportspersons across six countries (A-F). We need to calculate a specific percentage for Country C after an additional number of female participants join.

Step-by-Step Calculation

1. Calculate Total Male and Female Sportspersons

The total number of sportspersons is 1100. The ratio of Male to Female sportspersons is 15 ∶ 7.

• Total ratio parts = 15 + 7 = 22
• Total Male Sportspersons = \(\frac{15}{22} \times 1100 = 15 \times 50 = 750\)
• Total Female Sportspersons = \(\frac{7}{22} \times 1100 = 7 \times 50 = 350\)

We can verify this: 750 (Male) + 350 (Female) = 1100 (Total Sportspersons).

2. Calculate Original Number of Sportspersons from Country C

The table shows that 15% of the total sportspersons are from Country C.

• Original Total Sportspersons from Country C = 15% of 1100
• Original Total Sportspersons from Country C = \(0.15 \times 1100 = 165\)

3. Calculate Original Number of Male Sportspersons from Country C

The table shows that 14% of the male sportspersons are from Country C. We use the total number of male sportspersons calculated in Step 1.

• Original Male Sportspersons from Country C = 14% of Total Male Sportspersons
• Original Male Sportspersons from Country C = 14% of 750
• Original Male Sportspersons from Country C = \(0.14 \times 750 = 105\)

4. Calculate Original Number of Female Sportspersons from Country C

The original number of female sportspersons from Country C is the difference between the original total sportspersons from Country C and the original male sportspersons from Country C.

• Original Female Sportspersons from Country C = Original Total Sportspersons from Country C - Original Male Sportspersons from Country C
• Original Female Sportspersons from Country C = \(165 - 105 = 60\)

5. Consider the Additional Female Participants

The question states that 10 additional female participants from Country C joined the games.

• New Number of Female Sportspersons from Country C = Original Female Sportspersons from Country C + Additional Female Participants
• New Number of Female Sportspersons from Country C = \(60 + 10 = 70\)

6. Calculate the New Total Participants from Country C

When 10 additional female participants from Country C join, the total number of participants from Country C also increases.

• New Total Participants from Country C = Original Total Sportspersons from Country C + Additional Female Participants
• New Total Participants from Country C = \(165 + 10 = 175\)

7. Calculate the New Percentage of Female Participants from Country C

We need to find what percentage the new number of female participants (Step 5) is of the new total participants from Country C (Step 6).

• Percentage of Female Participants from Country C = \(\left( \frac{\text{New Female Sportspersons from Country C}}{\text{New Total Participants from Country C}} \right) \times 100\)
• Percentage of Female Participants from Country C = \(\left( \frac{70}{175} \right) \times 100\)
• Percentage of Female Participants from Country C = \(\left( \frac{70 \div 35}{175 \div 35} \right) \times 100\) (Since 35 is a common factor: \(70 = 2 \times 35\) and \(175 = 5 \times 35\))
• Percentage of Female Participants from Country C = \(\left( \frac{2}{5} \right) \times 100\)
• Percentage of Female Participants from Country C = \(0.4 \times 100 = 40\%\)

Therefore, if 10 additional female participants from Country C joined the games, the total number of female participants from Country C is 40% of the new total number of participants from Country C.

Revision Table: Key Concepts

Additional Information: Data Interpretation Skills

Data interpretation questions are common in many exams. They test your ability to read, understand, and analyze data presented in various formats like tables, charts, and graphs. Success in data interpretation relies on a few key skills:

• Careful Reading: Always read the question and the data source (table, chart labels, footnotes) carefully. Understand what each column or section represents.
• Calculating Totals and Subtotals: Often, you'll need to find total values or subtotals based on percentages or ratios.
• Percentage and Ratio Calculations: Be comfortable with basic percentage and ratio calculations, including finding a percentage of a number, finding what percentage one number is of another, and dividing quantities by ratios.
• Comparing Data: Questions might ask you to compare values between different categories or over time.
• Handling Additional Information: Sometimes, extra conditions or changes are introduced (like the additional female participants here). You must incorporate this new information correctly into your calculations.
• Approximation (if allowed): For some questions, especially with large numbers or complex percentages, approximation might be helpful, but be careful and check if the options are close to each other. In this case, exact calculation was straightforward.

Practicing with different types of data representations (tables, bar graphs, pie charts, line graphs) will help you become more proficient in data interpretation.