The following table shows the percentage (%) distribution of children in five…
2023
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 | 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 average number of children who do not attend school from villages V2, V3 and V5 together?
Answer: B. 508 — ConceptFor a subgroup described as a percentage of a grand total, multiply the percentage by that grand total to obtain its count. When total and attending…
- A.
512
- B.
508
- C.
540
- D.
532
Show answer & explanation
Correct answer: B
Concept
For a subgroup described as a percentage of a grand total, multiply the percentage by that grand total to obtain its count. When total and attending distributions use different grand totals, calculate them separately; non-attending count = total count − attending count, and average = sum of values ÷ number of values.
Application
V2: total children = 24% of 5800 = 1392; attending = 28% of 3600 = 1008; not attending = 1392 − 1008 = 384.
V3: total children = 11% of 5800 = 638; attending = 14% of 3600 = 504; not attending = 638 − 504 = 134.
V5: total children = 31% of 5800 = 1798; attending = 22% of 3600 = 792; not attending = 1798 − 792 = 1006.
Combined non-attending count = 384 + 134 + 1006 = 1524. Average = 1524 ÷ 3 = 508.
Cross-check
An average of 508 across three villages implies a combined count of 508 × 3 = 1524, which equals 384 + 134 + 1006.
Result
Therefore, the average number of children who do not attend school is 508.