The following table shows the percentage (%) distribution of children in five different villages (V1 to V5) and percentage (%) distribution of children attending school from these five villages. Total number of children in all the five villages is 5800 and total number of children attending school from these five villages is 3600. Based on the data in the table, answer the questions that follow: Village - wise percentage distribution of children Village Percentage Distribution of Number of children (5800) Number of children attending school (3600) V1 16% 15% V2 24% 28% V3 11% 14% V4 18% 21% V5 31% 22%
What is the total number of children who do not attend school from the village V2 and V3 together?
518
This problem requires us to use the provided data table showing the distribution of total children and children attending school across five villages (V1 to V5) to find the number of children who do not attend school in specific villages, namely V2 and V3, combined.
We are given the following key information:
| Village | Percentage Distribution of Total Children (out of 5800) | Percentage Distribution of Children Attending School (out of 3600) |
|---|---|---|
| V1 | 16% | 15% |
| V2 | 24% | 28% |
| V3 | 11% | 14% |
| V4 | 18% | 21% |
| V5 | 31% | 22% |
First, let's find the number of children who do not attend school in village V2.
Step 1: Calculate the total number of children in village V2.
Total children in V2 = Percentage of total children in V2 $\times$ Total number of children
Total children in V2 = $24\%$ of $5800$
Total children in V2 = $\frac{24}{100} \times 5800$
Total children in V2 = $24 \times 58$
Total children in V2 = $1392$
Step 2: Calculate the number of children attending school from village V2.
Children attending school from V2 = Percentage of attending children in V2 $\times$ Total number of children attending school
Children attending school from V2 = $28\%$ of $3600$
Children attending school from V2 = $\frac{28}{100} \times 3600$
Children attending school from V2 = $28 \times 36$
Children attending school from V2 = $1008$
Step 3: Calculate the number of children who do not attend school from village V2.
Children not attending school from V2 = Total children in V2 - Children attending school from V2
Children not attending school from V2 = $1392 - 1008$
Children not attending school from V2 = $384$
Next, let's find the number of children who do not attend school in village V3.
Step 1: Calculate the total number of children in village V3.
Total children in V3 = Percentage of total children in V3 $\times$ Total number of children
Total children in V3 = $11\%$ of $5800$
Total children in V3 = $\frac{11}{100} \times 5800$
Total children in V3 = $11 \times 58$
Total children in V3 = $638$
Step 2: Calculate the number of children attending school from village V3.
Children attending school from V3 = Percentage of attending children in V3 $\times$ Total number of children attending school
Children attending school from V3 = $14\%$ of $3600$
Children attending school from V3 = $\frac{14}{100} \times 3600$
Children attending school from V3 = $14 \times 36$
Children attending school from V3 = $504$
Step 3: Calculate the number of children who do not attend school from village V3.
Children not attending school from V3 = Total children in V3 - Children attending school from V3
Children not attending school from V3 = $638 - 504$
Children not attending school from V3 = $134$
Finally, we find the total number of children who do not attend school from villages V2 and V3 together.
Total children not attending school from V2 and V3 = (Children not attending school from V2) + (Children not attending school from V3)
Total children not attending school from V2 and V3 = $384 + 134$
Total children not attending school from V2 and V3 = $518$
So, the total number of children who do not attend school from villages V2 and V3 together is 518.
| Village | Total Children | Children Attending School | Children Not Attending School |
|---|---|---|---|
| V2 | 1392 | 1008 | $1392 - 1008 = 384$ |
| V3 | 638 | 504 | $638 - 504 = 134$ |
Total children not attending school from V2 and V3 = $384 + 134 = 518$
Understanding percentage distribution is crucial for solving data interpretation problems like this one. A percentage distribution shows how a total quantity is divided among different categories. In this case, we have two different total quantities: the total number of children in all villages and the total number of children attending school. The percentages for each village relate to their respective totals.
It's important not to confuse the two percentage columns; they refer to different base totals.
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Study the table and answer the question:
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