The problem requires us to find the non-adult population of City F using the provided data table and the population of City A.

Understanding the Data Table

The table provides two key pieces of information for six cities (A, B, C, D, E, F):

• Percentage distribution of the total population across these six cities.
• Percentage of the adult population within each specific city.

We are also given the actual population of City A, which is 257400. This piece of information is crucial for calculating the total population across all six cities.

Calculating the Total Population

We know that the population of City A is 257400, and this represents 23.4% of the total population of all six cities. Let the total population of all six cities be \( T \). We can set up the equation:

\( 23.4\% \text{ of } T = 257400 \)

This can be written as:

\( \frac{23.4}{100} \times T = 257400 \)

\( 0.234 \times T = 257400 \)

Now, we can solve for \( T \):

\( T = \frac{257400}{0.234} \)

\( T = 1,100,000 \)

So, the total population of all six cities combined is 1,100,000.

Finding City F's Population

From the table, City F's population is 10.2% of the total population (\( T \)).

Population of City F = \( 10.2\% \text{ of } T \)

Population of City F = \( \frac{10.2}{100} \times 1,100,000 \)

Population of City F = \( 0.102 \times 1,100,000 \)

Population of City F = \( 112,200 \)

Determining Non-Adult Population Percentage in City F

The table shows that 72% of the population in City F is adult. The remaining percentage is the non-adult population.

Percentage of non-adult population in City F = \( 100\% - \% \text{Adult Population} \)

Percentage of non-adult population in City F = \( 100\% - 72\% \)

Percentage of non-adult population in City F = \( 28\% \)

Calculating Non-Adult Population of City F

Now we need to find 28% of the total population of City F.

Non-adult population of City F = \( 28\% \text{ of Population of City F} \)

Non-adult population of City F = \( \frac{28}{100} \times 112,200 \)

Non-adult population of City F = \( 0.28 \times 112,200 \)

Non-adult population of City F = \( 31,416 \)

Therefore, the non-adult population of City F is 31,416.

Revision Table

Here is a summary of the key values calculated:

Additional Information on Population Data Analysis

Data tables like this are commonly used in quantitative analysis to represent demographic information. Understanding percentages and how to use one known value to find a total or another proportional value is fundamental.

• Percentage Distribution: Shows how a total quantity is divided among different categories. The sum of percentages in a distribution should ideally be 100% (or very close due to rounding).
• Population Subgroups: Data often breaks down populations into subgroups (like adult/non-adult, male/female, age groups) to provide more detailed insights.
• Calculating Totals: If you know the value of a percentage of a total, you can find the total using the formula: \( \text{Total} = \frac{\text{Value of Part}}{\text{Percentage as Decimal}} \).
• Calculating Parts: If you know the total and a percentage, you can find the value of the part using the formula: \( \text{Value of Part} = \text{Percentage as Decimal} \times \text{Total} \).

These skills are essential for solving data interpretation questions often found in competitive exams.