Understanding the Population Data and the Problem

The question provides a table showing the distribution of population for five states (A-E) based on their poverty line status (Below or Above) and gender distribution (Male:Female ratio) within each category (Below Poverty Line and Above Poverty Line).

We are given specific information for State 'C':

• Percentage of population Below Poverty Line in State C = 24%
• Proportion of Males and Females Below Poverty Line in State C = 1 ∶ 2
• Proportion of Males and Females Above Poverty Line in State C = 2 ∶ 3
• Male population above poverty line for State 'C' = 1.9 million

We need to find the total population of State 'C'.

Calculating Population Above Poverty Line for State 'C'

The table shows that 24% of the population in State 'C' is below the poverty line. Therefore, the percentage of the population above the poverty line is:

$$ \text{Percentage above poverty line} = 100\% - \text{Percentage below poverty line} $$

$$ \text{Percentage above poverty line} = 100\% - 24\% = 76\% $$

For the population above the poverty line in State 'C', the ratio of Males to Females is given as 2 ∶ 3. This means that for every 2 parts of males, there are 3 parts of females among the population above the poverty line.

The total number of parts in this ratio is \(2 + 3 = 5\) parts.

We are given that the male population above the poverty line is 1.9 million. This 1.9 million corresponds to the 2 parts of males in the ratio.

To find the value of one part, we divide the male population by the number of male parts:

$$ \text{Value of 1 part} = \frac{\text{Male population above poverty line}}{\text{Male parts in ratio}} $$

$$ \text{Value of 1 part} = \frac{1.9 \text{ million}}{2} = 0.95 \text{ million} $$

Now we can find the female population above the poverty line, which corresponds to 3 parts:

$$ \text{Female population above poverty line} = \text{Female parts in ratio} \times \text{Value of 1 part} $$

$$ \text{Female population above poverty line} = 3 \times 0.95 \text{ million} = 2.85 \text{ million} $$

The total population above the poverty line for State 'C' is the sum of the male and female population above the poverty line:

$$ \text{Total population above poverty line} = \text{Male population above poverty line} + \text{Female population above poverty line} $$

$$ \text{Total population above poverty line} = 1.9 \text{ million} + 2.85 \text{ million} = 4.75 \text{ million} $$

Calculating Total Population of State 'C'

We know that the population above the poverty line (4.75 million) represents 76% of the total population of State 'C'. Let the total population of State 'C' be \(T\).

We can set up the equation:

$$ 76\% \text{ of } T = 4.75 \text{ million} $$

Convert the percentage to a decimal:

$$ 0.76 \times T = 4.75 \text{ million} $$

Now, solve for \(T\):

$$ T = \frac{4.75}{0.76} \text{ million} $$

To simplify the division, we can multiply both the numerator and denominator by 100:

$$ T = \frac{4.75 \times 100}{0.76 \times 100} \text{ million} = \frac{475}{76} \text{ million} $$

Perform the division:

$$ \frac{475}{76} = 6.25 $$

So, the total population of State 'C' is 6.25 million.

Conclusion

Based on the given male population above the poverty line and the percentage distribution, the total population of State 'C' is 6.25 million.

Revision Table: State C Population Calculation

Let's quickly review the steps to calculate the total population of State C based on the data provided in the table and the question:

• Identify the percentage of population above the poverty line for State C (100% - 24% = 76%).
• Use the given male population above the poverty line (1.9 million) and the male:female ratio (2:3) to find the total population above the poverty line.
• If 2 parts = 1.9 million, then 1 part = 0.95 million.
• Total parts above poverty line = 2 (Male) + 3 (Female) = 5 parts.
• Total population above poverty line = 5 parts * 0.95 million/part = 4.75 million.
• Relate this population above the poverty line (4.75 million) to the total population. Since this represents 76% of the total population, set up the equation: 0.76 * Total Population = 4.75 million.
• Solve for the Total Population: Total Population = 4.75 million / 0.76 = 6.25 million.

Additional Information: Interpreting Population Distribution Tables

Tables showing population distribution based on multiple criteria like poverty line status and gender are common in data analysis. Here are some key points about interpreting such tables:

• Percentages: Percentages show the proportion of a subgroup relative to the total population of that state. In this table, the "Percentage (%) of Population Below Poverty Line" indicates what portion of the state's total population falls into that category. The remaining percentage is automatically above the poverty line.
• Ratios: Ratios like M ∶ F show the relative distribution of males and females *within* a specific subgroup (either below poverty line or above poverty line). They do not directly relate to the total population percentage unless combined with other information.
• Combining Data: To find the actual number of people in any subgroup (like males above poverty line), you often need to combine the percentage distribution information with the ratio information and a known population figure (either total population or the population of a specific subgroup).
• Calculating Unknowns: If you know the number of people in one part of a ratio within a subgroup, you can calculate the total for that subgroup. If you know the total for a subgroup and its percentage of the total population, you can calculate the total population.

This question required combining information about a known count (male population above poverty line), a ratio within a subgroup, and the percentage that subgroup represents of the total population to arrive at the final answer.