Understanding the Data Table for School Attendance Analysis

The question asks us to find the average number of children who do not attend school from three specific villages: V2, V3, and V5. We are given a table that shows the percentage distribution of the total number of children and the percentage distribution of children attending school across five villages (V1 to V5).

The total number of children across all five villages is 5800. The total number of children attending school across all five villages is 3600.

Let's first look at the provided data table:

Calculating Children Not Attending School for Each Village

To find the number of children who do not attend school in a specific village, we need to do two main steps:

1. Calculate the total number of children in that village.
2. Calculate the number of children attending school from that village.
3. Subtract the number of children attending school from the total number of children in the village.

We need to perform these calculations for villages V2, V3, and V5.

Village V2 Calculations

• Total number of children in V2: The table shows 24% of the total children are in V2.

  \( \text{Total children in V2} = 24\% \text{ of } 5800 = \frac{24}{100} \times 5800 = 0.24 \times 5800 = 1392 \)

• Number of children attending school from V2: The table shows 28% of the total children attending school are from V2.

  \( \text{Children attending school from V2} = 28\% \text{ of } 3600 = \frac{28}{100} \times 3600 = 0.28 \times 3600 = 1008 \)

• Number of children not attending school from V2: Subtract children attending school from the total children in V2.

  \( \text{Children not attending school from V2} = 1392 - 1008 = 384 \)

Village V3 Calculations

• Total number of children in V3: The table shows 11% of the total children are in V3.

  \( \text{Total children in V3} = 11\% \text{ of } 5800 = \frac{11}{100} \times 5800 = 0.11 \times 5800 = 638 \)

• Number of children attending school from V3: The table shows 14% of the total children attending school are from V3.

  \( \text{Children attending school from V3} = 14\% \text{ of } 3600 = \frac{14}{100} \times 3600 = 0.14 \times 3600 = 504 \)

• Number of children not attending school from V3: Subtract children attending school from the total children in V3.

  \( \text{Children not attending school from V3} = 638 - 504 = 134 \)

Village V5 Calculations

• Total number of children in V5: The table shows 31% of the total children are in V5.

  \( \text{Total children in V5} = 31\% \text{ of } 5800 = \frac{31}{100} \times 5800 = 0.31 \times 5800 = 1798 \)

• Number of children attending school from V5: The table shows 22% of the total children attending school are from V5.

  \( \text{Children attending school from V5} = 22\% \text{ of } 3600 = \frac{22}{100} \times 3600 = 0.22 \times 3600 = 792 \)

• Number of children not attending school from V5: Subtract children attending school from the total children in V5.

  \( \text{Children not attending school from V5} = 1798 - 792 = 1006 \)

Calculating the Average Number of Children Not Attending School

Now we have the number of children who do not attend school for each of the specified villages (V2, V3, and V5).

• Children not attending school from V2: 384
• Children not attending school from V3: 134
• Children not attending school from V5: 1006

To find the average number of children not attending school from these three villages, we sum the numbers and divide by the number of villages (which is 3).

\( \text{Sum of children not attending school} = 384 + 134 + 1006 = 1524 \)

\( \text{Average number of children not attending school} = \frac{\text{Sum of children not attending school}}{\text{Number of villages}} = \frac{1524}{3} \)

\( \text{Average} = 508 \)

The average number of children who do not attend school from villages V2, V3, and V5 together is 508.

Revision Table: Key Calculations Summary

Additional Information: Data Interpretation Concepts

Data interpretation questions often require understanding how to work with percentages and calculate absolute values from percentage distributions related to different totals. Here are some key concepts:

• Percentage Distribution: A percentage distribution shows how a total quantity is divided among different categories as percentages. In this case, the total number of children and the total number of children attending school are distributed among the villages.
• Calculating Absolute Values: To find the actual number (absolute value) represented by a percentage, you multiply the total by the percentage (expressed as a decimal or fraction). For example, 24% of 5800 is \(0.24 \times 5800\).
• Finding the 'Difference': Questions asking about children 'not attending' or 'not belonging' to a category require finding the difference between a total group and a subgroup. Here, total children in a village minus children attending school from that village gives the children not attending school.
• Calculating Averages: The average (or mean) of a set of numbers is found by summing the numbers and dividing by how many numbers there are. In this question, we summed the numbers of non-attending children from three villages and divided by 3.

Practicing with different types of data tables and charts will help improve data interpretation skills, which are essential for many exams.