Solving Data Interpretation for Village Children and School Attendance

The problem requires us to analyze data presented in a table showing the distribution of children and children attending school across five villages (V1 to V5). We need to calculate a percentage increase based on the total number of children and the number of children not attending school in villages V4 and V5.

Understanding the Given Data

We are provided with the following key figures:

• Total number of children in all five villages = 5800
• Total number of children attending school from all five villages = 3600

The table provides the percentage distribution of these totals among the villages V1, V2, V3, V4, and V5.

Calculating Number of Children in V4 and V5

First, let's find the total number of children in villages V4 and V5.

• Number of children in V4 = 18% of 5800
• Number of children in V4 = \(\frac{18}{100} \times 5800 = 0.18 \times 5800 = 1044\)
• Number of children in V5 = 31% of 5800
• Number of children in V5 = \(\frac{31}{100} \times 5800 = 0.31 \times 5800 = 1798\)

Total number of children from V4 and V5 together is:

\(1044 + 1798 = 2842\)

Calculating Children Attending School in V4 and V5

Now, let's find the number of children attending school from villages V4 and V5.

• Number of children attending school from V4 = 21% of 3600
• Number of children attending school from V4 = \(\frac{21}{100} \times 3600 = 0.21 \times 3600 = 756\)
• Number of children attending school from V5 = 22% of 3600
• Number of children attending school from V5 = \(\frac{22}{100} \times 3600 = 0.22 \times 3600 = 792\)

Total number of children attending school from V4 and V5 together is:

\(756 + 792 = 1548\)

Calculating Children Not Attending School in V4 and V5

The number of children who do not attend school from a village is the total number of children in that village minus the number of children attending school from that village.

• Number of children not attending school from V4 = (Total children in V4) - (Children attending school from V4)
• Number of children not attending school from V4 = \(1044 - 756 = 288\)
• Number of children not attending school from V5 = (Total children in V5) - (Children attending school from V5)
• Number of children not attending school from V5 = \(1798 - 792 = 1006\)

Total number of children who do not attend school from V4 and V5 together is:

\(288 + 1006 = 1294\)

Finding the Percentage More

The question asks for the percentage by which the total number of children from V4 and V5 together (\(2842\)) is more than the total number of children who do not attend school from the same two villages (\(1294\)).

The difference is: \(2842 - 1294 = 1548\)

To find the percentage this difference represents compared to the total number of children not attending school from V4 and V5 (\(1294\)), we use the formula:

\(\text{Percentage More} = \frac{\text{Difference}}{\text{Base Value}} \times 100\)

Here, the base value is the total number of children not attending school from V4 and V5.

\(\text{Percentage More} = \frac{1548}{1294} \times 100\)

Let's calculate the value:

\(\frac{1548}{1294} \approx 1.19629\)

\(\text{Percentage More} \approx 1.19629 \times 100 \approx 119.63\%\)

Approximating the Result

The question asks for the approximate percentage. The calculated value \(119.63\%\) is closest to \(120\%\).

Revision Table: Key Calculations for V4 and V5

Percentage more calculation: \(\frac{2842 - 1294}{1294} \times 100 = \frac{1548}{1294} \times 100 \approx 119.63\%\)

Additional Information on Percentage Calculations

Percentage calculations are common in data interpretation problems. Understanding how to calculate a percentage increase or decrease is crucial. The formula for percentage increase is:

\(\text{Percentage Increase} = \frac{\text{Increase Amount}}{\text{Original Value}} \times 100\)

In this problem, the "Increase Amount" is the difference between the total children (V4 & V5) and the children not attending school (V4 & V5), and the "Original Value" is the number of children not attending school (V4 & V5).

Also, remember that:

• Total Children = Children Attending School + Children Not Attending School

This relationship was used to find the number of children not attending school in each village.

When asked for an approximate percentage, choose the option that is closest to your calculated value.