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The average weight of 48 students in a class was calculated as 32 kg. It was later found that the weight of two students in the class was wrongly calculated. The actual weight of one of the boys in the class was 28 kg, but it was calculated as 32 kg and the weight of another boy in the class was 36 kg, whereas it was calculated as 30kg. What is the actual average weight of the 48 students in the class? (Rounded off to two-digits after decimal)
- a)32.04kg.
- b)36.16 kg.
- c)35.84 kg.
- d)Cannot be determined
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
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The average weight of 48 students in a class was calculated as 32 kg. ...
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The average weight of 48 students in a class was calculated as 32 kg. ...
Calculating the Total Weight with the Incorrect Average
- The average weight of 48 students is given as 32 kg.
- Therefore, the total weight calculated is:
Total Weight = Average Weight × Number of Students
Total Weight = 32 kg × 48 = 1536 kg.
Identifying the Incorrect Weights
- The incorrect weights recorded were:
- One boy was recorded as 32 kg instead of 28 kg (a difference of -4 kg).
- Another boy was recorded as 30 kg instead of 36 kg (a difference of +6 kg).
Calculating the Total Adjustment
- The total adjustment needed to correct the weights is:
- Total Adjustment = Actual Weight - Recorded Weight
- For the first boy: 28 kg - 32 kg = -4 kg
- For the second boy: 36 kg - 30 kg = +6 kg
- Therefore, Total Adjustment = -4 kg + 6 kg = +2 kg.
Calculating the Actual Total Weight
- The actual total weight after adjustments is:
Actual Total Weight = Initial Total Weight + Total Adjustment
Actual Total Weight = 1536 kg + 2 kg = 1538 kg.
Calculating the Actual Average Weight
- The actual average weight is calculated as follows:
Actual Average Weight = Actual Total Weight / Number of Students
Actual Average Weight = 1538 kg / 48 = 32.04 kg.
Conclusion
- Thus, the actual average weight of the 48 students in the class is 32.04 kg, which corresponds to option 'A'.
- The average weight of 48 students is given as 32 kg.
- Therefore, the total weight calculated is:
Total Weight = Average Weight × Number of Students
Total Weight = 32 kg × 48 = 1536 kg.
Identifying the Incorrect Weights
- The incorrect weights recorded were:
- One boy was recorded as 32 kg instead of 28 kg (a difference of -4 kg).
- Another boy was recorded as 30 kg instead of 36 kg (a difference of +6 kg).
Calculating the Total Adjustment
- The total adjustment needed to correct the weights is:
- Total Adjustment = Actual Weight - Recorded Weight
- For the first boy: 28 kg - 32 kg = -4 kg
- For the second boy: 36 kg - 30 kg = +6 kg
- Therefore, Total Adjustment = -4 kg + 6 kg = +2 kg.
Calculating the Actual Total Weight
- The actual total weight after adjustments is:
Actual Total Weight = Initial Total Weight + Total Adjustment
Actual Total Weight = 1536 kg + 2 kg = 1538 kg.
Calculating the Actual Average Weight
- The actual average weight is calculated as follows:
Actual Average Weight = Actual Total Weight / Number of Students
Actual Average Weight = 1538 kg / 48 = 32.04 kg.
Conclusion
- Thus, the actual average weight of the 48 students in the class is 32.04 kg, which corresponds to option 'A'.
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The average weight of 48 students in a class was calculated as 32 kg. It was later found that the weight of two students in the class was wrongly calculated. The actual weight of one of the boys in the class was 28 kg, but it was calculated as 32 kg and the weight of another boy in the class was 36 kg, whereas it was calculated as 30kg. What is the actual average weight of the 48 students in the class? (Rounded off to two-digits after decimal)a)32.04kg.b)36.16 kg.c)35.84 kg.d)Cannot be determinede)None of theseCorrect answer is option 'A'. Can you explain this answer?
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The average weight of 48 students in a class was calculated as 32 kg. It was later found that the weight of two students in the class was wrongly calculated. The actual weight of one of the boys in the class was 28 kg, but it was calculated as 32 kg and the weight of another boy in the class was 36 kg, whereas it was calculated as 30kg. What is the actual average weight of the 48 students in the class? (Rounded off to two-digits after decimal)a)32.04kg.b)36.16 kg.c)35.84 kg.d)Cannot be determinede)None of theseCorrect answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The average weight of 48 students in a class was calculated as 32 kg. It was later found that the weight of two students in the class was wrongly calculated. The actual weight of one of the boys in the class was 28 kg, but it was calculated as 32 kg and the weight of another boy in the class was 36 kg, whereas it was calculated as 30kg. What is the actual average weight of the 48 students in the class? (Rounded off to two-digits after decimal)a)32.04kg.b)36.16 kg.c)35.84 kg.d)Cannot be determinede)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average weight of 48 students in a class was calculated as 32 kg. It was later found that the weight of two students in the class was wrongly calculated. The actual weight of one of the boys in the class was 28 kg, but it was calculated as 32 kg and the weight of another boy in the class was 36 kg, whereas it was calculated as 30kg. What is the actual average weight of the 48 students in the class? (Rounded off to two-digits after decimal)a)32.04kg.b)36.16 kg.c)35.84 kg.d)Cannot be determinede)None of theseCorrect answer is option 'A'. Can you explain this answer?.
The average weight of 48 students in a class was calculated as 32 kg. It was later found that the weight of two students in the class was wrongly calculated. The actual weight of one of the boys in the class was 28 kg, but it was calculated as 32 kg and the weight of another boy in the class was 36 kg, whereas it was calculated as 30kg. What is the actual average weight of the 48 students in the class? (Rounded off to two-digits after decimal)a)32.04kg.b)36.16 kg.c)35.84 kg.d)Cannot be determinede)None of theseCorrect answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The average weight of 48 students in a class was calculated as 32 kg. It was later found that the weight of two students in the class was wrongly calculated. The actual weight of one of the boys in the class was 28 kg, but it was calculated as 32 kg and the weight of another boy in the class was 36 kg, whereas it was calculated as 30kg. What is the actual average weight of the 48 students in the class? (Rounded off to two-digits after decimal)a)32.04kg.b)36.16 kg.c)35.84 kg.d)Cannot be determinede)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average weight of 48 students in a class was calculated as 32 kg. It was later found that the weight of two students in the class was wrongly calculated. The actual weight of one of the boys in the class was 28 kg, but it was calculated as 32 kg and the weight of another boy in the class was 36 kg, whereas it was calculated as 30kg. What is the actual average weight of the 48 students in the class? (Rounded off to two-digits after decimal)a)32.04kg.b)36.16 kg.c)35.84 kg.d)Cannot be determinede)None of theseCorrect answer is option 'A'. Can you explain this answer?.
Solutions for The average weight of 48 students in a class was calculated as 32 kg. It was later found that the weight of two students in the class was wrongly calculated. The actual weight of one of the boys in the class was 28 kg, but it was calculated as 32 kg and the weight of another boy in the class was 36 kg, whereas it was calculated as 30kg. What is the actual average weight of the 48 students in the class? (Rounded off to two-digits after decimal)a)32.04kg.b)36.16 kg.c)35.84 kg.d)Cannot be determinede)None of theseCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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