Calculating Females Above Poverty Line in State D

This question asks us to find the number of females above the poverty line in State 'D', given its total population and the distribution data provided in the table.

First, let's examine the relevant data for State 'D' from the table:

We are given that the total population of State 'D' is 8 million.

From the table, the percentage of the population below the poverty line in State 'D' is 19%.

Therefore, the percentage of the population above the poverty line in State 'D' is:

\( 100\% - \text{Percentage below poverty line} \)

\( 100\% - 19\% = 81\% \)

Now, let's calculate the actual population above the poverty line in State 'D'.

\( \text{Population above poverty line} = \text{Total population of State D} \times \text{Percentage above poverty line} \)

\( \text{Population above poverty line} = 8 \text{ million} \times 81\% \)

\( \text{Population above poverty line} = 8 \times \frac{81}{100} \text{ million} \)

\( \text{Population above poverty line} = 8 \times 0.81 \text{ million} \)

\( \text{Population above poverty line} = 6.48 \text{ million} \)

The table also provides the proportion of males and females above the poverty line in State 'D'. The ratio of Males to Females above the poverty line is 5 ∶ 3.

The total number of parts in this ratio is the sum of the male and female parts:

\( \text{Total ratio parts} = \text{Male parts} + \text{Female parts} \)

\( \text{Total ratio parts} = 5 + 3 = 8 \)

The female population above the poverty line represents 3 out of these 8 parts.

So, the number of females above the poverty line in State 'D' is calculated as follows:

\( \text{Number of females above poverty line} = \left( \frac{\text{Female ratio part}}{\text{Total ratio parts}} \right) \times \text{Population above poverty line} \)

\( \text{Number of females above poverty line} = \left( \frac{3}{8} \right) \times 6.48 \text{ million} \)

\( \text{Number of females above poverty line} = 0.375 \times 6.48 \text{ million} \)

\( \text{Number of females above poverty line} = 2.43 \text{ million} \)

Therefore, the number of females above the poverty line in State 'D' is 2.43 million.

Data Analysis Steps for State D

• Identify total population of State D: 8 million.
• Determine percentage of population below poverty line in State D: 19%.
• Calculate percentage of population above poverty line in State D: \(100\% - 19\% = 81\%\).
• Calculate total population above poverty line in State D: \(8 \text{ million} \times 81\% = 6.48 \text{ million}\).
• Note the ratio of Males to Females above poverty line in State D: 5 ∶ 3.
• Sum the ratio parts: \(5 + 3 = 8\).
• Calculate the proportion of females above poverty line: \( \frac{3}{8} \).
• Calculate the number of females above poverty line: \( \frac{3}{8} \times 6.48 \text{ million} = 2.43 \text{ million}\).

Revision Table: Key Calculations for State D

Additional Information: Understanding Population Data Tables

Population data presented in tables often involves percentages and ratios to represent different segments of the population. To interpret such tables accurately, follow these general steps:

• Understand the Categories: Identify how the population is divided (e.g., by poverty line, gender, age group).
• Note Percentages: Percentages indicate the proportion of a segment relative to a larger group (usually the total population or a subtotal). Remember that percentages often sum to 100% for a complete division.
• Interpret Ratios: Ratios show the relative sizes of different sub-segments within a category (e.g., the ratio of males to females within the 'above poverty line' group). Summing the ratio parts gives the total number of relative units in that sub-segment.
• Use Total Population: The total population figure is essential for converting percentages and ratios into absolute numbers.
• Calculate Sub-Populations: Multiply the total population by the relevant percentage (converted to a decimal) to find the size of a percentage-based sub-population.
• Distribute using Ratios: Once you have the size of a sub-population where a ratio is given, divide the sub-population size by the sum of the ratio parts, and then multiply by the individual ratio part to find the size of each component within that sub-population.
• Pay Attention to Detail: Carefully read the question to understand exactly which population segment needs to be calculated (e.g., males below poverty line, females above poverty line, total population in a specific category).

These steps are crucial for solving data interpretation problems involving population distribution.