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 total numbers.

Understanding the Given Data

• Total number of sportspersons: 1100
• Ratio of Male to Female sportspersons overall: 15 ∶ 7
• Table showing the percentage distribution of total sportspersons and male sportspersons for each country (A-F).

We need to find the ratio of the number of participants from Country D to the number of female participants from Country E.

Step 1: Calculate Total Male and Female Sportspersons

The total number of sportspersons is 1100. The ratio of Male to Female is 15 ∶ 7. The total parts in the ratio are \(15 + 7 = 22\).

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

So, there are 750 male sportspersons and 350 female sportspersons in total.

Step 2: Calculate Participants from Country D

According to the table, Country D accounts for 12% of the Total Sportspersons.

• Number of participants from Country D = 12% of Total Sportspersons
• Number of participants from Country D = \(\frac{12}{100} \times 1100\)
• Number of participants from Country D = \(12 \times 11 = 132\)

So, there are 132 participants from Country D.

Step 3: Calculate Participants from Country E

According to the table, Country E accounts for 9% of the Total Sportspersons.

• Total participants from Country E = 9% of Total Sportspersons
• Total participants from Country E = \(\frac{9}{100} \times 1100\)
• Total participants from Country E = \(9 \times 11 = 99\)

So, there are 99 total participants from Country E.

Step 4: Calculate Male Participants from Country E

According to the table, Country E accounts for 10% of the Total Male Sportspersons.

• Number of male participants from Country E = 10% of Total Male Sportspersons
• Number of male participants from Country E = \(\frac{10}{100} \times 750\)
• Number of male participants from Country E = \(\frac{1}{10} \times 750 = 75\)

So, there are 75 male participants from Country E.

Step 5: Calculate Female Participants from Country E

The number of female participants from Country E is the difference between the total participants from Country E and the male participants from Country E.

• Number of female participants from Country E = (Total participants from Country E) - (Male participants from Country E)
• Number of female participants from Country E = 99 - 75 = 24

So, there are 24 female participants from Country E.

Step 6: Calculate the Required Ratio

We need to find the ratio of the number of participants from Country D to the number of female participants from Country E.

• Ratio = (Participants from Country D) : (Female participants from Country E)
• Ratio = 132 : 24

To simplify the ratio, we find the greatest common divisor (GCD) of 132 and 24. Both numbers are divisible by 12.

• \(132 \div 12 = 11\)
• \(24 \div 12 = 2\)

The simplified ratio is 11 ∶ 2.

The ratio of the number of participants from Country D to the number of female participants from Country E is 11 ∶ 2.

Revision Table: Asian Games Data Ratios

Additional Information: Data Interpretation Skills

Data interpretation questions like this one test your ability to extract information from tables and charts and perform calculations based on given conditions. Key skills include:

• Carefully reading the question and understanding what is being asked.
• Identifying the total values and how percentages/ratios relate to these totals.
• Performing accurate percentage and ratio calculations.
• Breaking down the problem into smaller, manageable steps.
• Ensuring units or categories are consistent (e.g., distinguishing between percentage of total sportspersons and percentage of male sportspersons).

Practice with different types of data representation (tables, bar graphs, pie charts) is crucial for mastering data interpretation.