Asian Games Sportspersons Data Analysis

This problem requires us to analyze the distribution of sportspersons from different countries participating in the Asian Games based on the provided table and ratio.

Understanding the Given Data

We are given:

• Total number of sportspersons: 1100
• Ratio of Male to Female sportspersons: 15 ∶ 7
• A table showing the percentage distribution of total sportspersons and male sportspersons across six countries (A to F).

Step-by-Step Calculation for Asian Games Participants

Step 1: Calculate the Total Number of Male and Female Sportspersons

The total number of sportspersons is 1100, and the ratio of Male to Female is 15 ∶ 7. The total ratio parts are $15 + 7 = 22$.

• Total Male Sportspersons = $\left(\frac{15}{22}\right) \times 1100 = 15 \times 50 = 750$
• Total Female Sportspersons = $\left(\frac{7}{22}\right) \times 1100 = 7 \times 50 = 350$

Check: $750 + 350 = 1100$, which matches the total sportspersons.

Step 2: Calculate the Number of Male Participants from Country A

According to the table, 20% of the total male sportspersons are from Country A.

• Male participants from Country A = 20% of Total Male Sportspersons
• Male participants from Country A = $\frac{20}{100} \times 750 = 0.20 \times 750 = 150$

Step 3: Calculate the Total Participants from Country D

According to the table, 12% of the total sportspersons are from Country D.

• Total participants from Country D = 12% of Total Sportspersons
• Total participants from Country D = $\frac{12}{100} \times 1100 = 0.12 \times 1100 = 132$

Step 4: Calculate the Number of Male Participants from Country D

According to the table, 12% of the total male sportspersons are from Country D.

• Male participants from Country D = 12% of Total Male Sportspersons
• Male participants from Country D = $\frac{12}{100} \times 750 = 0.12 \times 750 = 90$

Step 5: Calculate the Number of Female Participants from Country D

The number of female participants from Country D is the total participants from Country D minus the male participants from Country D.

• Female participants from Country D = Total participants from Country D - Male participants from Country D
• Female participants from Country D = $132 - 90 = 42$

Step 6: Calculate the Percentage of Female Participants from Country D relative to Male Participants from Country A

We need to find what percentage the number of female participants from Country D (42) is of the number of male participants from Country A (150).

• Required Percentage = $\left(\frac{\text{Female participants from Country D}}{\text{Male participants from Country A}}\right) \times 100$
• Required Percentage = $\left(\frac{42}{150}\right) \times 100$
• Required Percentage = $\frac{4200}{150} = \frac{420}{15}$
• Required Percentage = $28\%$

Conclusion on Asian Games Data

The number of female participants from Country D is 42, and the number of male participants from Country A is 150. The number of female participants from Country D is 28% of the number of male participants from Country A.

Revision Table: Asian Games Data Analysis

Additional Information: Data Interpretation Skills

Solving data interpretation problems like this requires careful reading of the question and table, breaking down the problem into smaller steps, and performing accurate percentage and ratio calculations. Key skills include:

• Understanding percentages and how to calculate a percentage of a number.
• Understanding ratios and how to distribute a total quantity based on a given ratio.
• Extracting relevant data from tables.
• Performing basic arithmetic operations precisely.
• Calculating a number as a percentage of another number.

Practicing with various types of data representation (tables, charts, graphs) helps improve these skills for exams like competitive entrance tests.