Analyzing Village Population Data

This problem requires us to analyze the given table showing the total population and the percentage distribution of males, females, and transgenders in five different villages (A to E). We need to calculate the transgender population in Village A and the female population in Village B and then find the transgender population of Village A as a percentage of the female population of Village B.

First, let's look at the provided data table:

The table has some missing values, denoted by (-). We know that for each village, the sum of the percentages of males (M), females (F), and transgenders (T) must be 100%.

Calculating Missing Percentages in Village Data

Let's calculate the missing percentages for each village:

• Village A: M (46%), T (22%). F% = 100% - (46% + 22%) = 100% - 68% = 32%.
• Village B: F (33%), T (27%). M% = 100% - (33% + 27%) = 100% - 60% = 40%.
• Village C: M (32%), F (36%). T% = 100% - (32% + 36%) = 100% - 68% = 32%.
• Village D: M (36%), T (20%). F% = 100% - (36% + 20%) = 100% - 56% = 44%.
• Village E: F (30%), T (25%). M% = 100% - (30% + 25%) = 100% - 55% = 45%.

Calculating Transgender Population in Village A

We need to find the transgender population in Village A.

• Total Population of Village A = 12,000
• Percentage of Transgenders (T) in Village A = 22%
• Transgender population in Village A = \( 22\% \text{ of } 12,000 \)
• Transgender population in Village A = \( \frac{22}{100} \times 12000 \)
• Transgender population in Village A = \( 22 \times 120 \)
• Transgender population in Village A = \( 2640 \)

So, the transgender population in Village A is 2640.

Calculating Female Population in Village B

Next, we need to find the female population in Village B.

• Total Population of Village B = 16,000
• Percentage of Females (F) in Village B = 33% (from the table)
• Female population in Village B = \( 33\% \text{ of } 16,000 \)
• Female population in Village B = \( \frac{33}{100} \times 16000 \)
• Female population in Village B = \( 33 \times 160 \)
• Female population in Village B = \( 5280 \)

So, the female population in Village B is 5280.

Finding Percentage of Transgenders in Village A relative to Females in Village B

The question asks for the transgender population in Village A as a percentage of the female population in Village B.

• Required Percentage = \( \left( \frac{\text{Transgender population in Village A}}{\text{Female population in Village B}} \right) \times 100\% \)
• Required Percentage = \( \left( \frac{2640}{5280} \right) \times 100\% \)
• Required Percentage = \( \left( \frac{264}{528} \right) \times 100\% \)
• We can simplify the fraction \( \frac{264}{528} \). Notice that 528 is exactly double of 264 (264 * 2 = 528).
• So, \( \frac{264}{528} = \frac{1}{2} \)
• Required Percentage = \( \frac{1}{2} \times 100\% \)
• Required Percentage = \( 50\% \)

Therefore, the transgender population in Village A is 50% of the female population in Village B.

Conclusion

Based on the calculations, the transgender population in Village A is 50% of the female population in Village B.

Revision Table: Population Data Analysis

Additional Information on Percentage Calculations and Data Interpretation

Data interpretation questions often involve understanding how to extract information from tables, charts, or graphs and perform calculations based on percentages, ratios, or averages. Percentage is a way of expressing a quantity as a fraction of 100. To calculate a percentage of a total, you use the formula: \( \text{Part} = \frac{\text{Percentage}}{100} \times \text{Total} \). To find what percentage one number is of another, you use the formula: \( \text{Percentage} = \frac{\text{Part}}{\text{Whole}} \times 100\% \). These basic concepts are fundamental for solving problems like this one.

In this specific problem, we first used the percentage concept to find the missing values (since M% + F% + T% = 100%). Then, we used the percentage concept again to calculate the actual population numbers for transgenders in Village A and females in Village B. Finally, we used the second percentage formula to find the ratio of these two numbers expressed as a percentage.

Understanding how to handle data presented in tables, including dealing with missing values by applying simple logical rules (like the sum of percentages being 100%), is a key skill for data interpretation questions. Always read the question carefully to understand exactly which values are needed for the final calculation.