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The average weight of 45 students in a class was calculated as 36 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 32 kg, but it was calculated as 34 kg and the weight of another boy in the class was 45 kg, whereas it was calculated as 40 kg. What is the actual average weight of the 45 students in the class? (Rounded off to two digits after decimal)
- a)36.07kg
- b)36.16kg
- c)35.84kg
- d)Cannot be determined
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
The average weight of 45 students in a class was calculated as 36 kg....
Given data:
- 45 students in a class
- Average weight of 45 students = 36 kg
- One student's actual weight = 32 kg but was calculated as 34 kg
- Another student's actual weight = 45 kg but was calculated as 40 kg
To find: Actual average weight of the 45 students in the class
Solution:
Let's first find out the total weight of all 45 students using the given average weight:
Total weight of 45 students = 45 x 36 = 1620 kg
Now, we need to adjust the wrong calculations made for two students:
- For the first student, actual weight = 32 kg but was calculated as 34 kg. So, we need to subtract 2 kg from the total weight.
- For the second student, actual weight = 45 kg but was calculated as 40 kg. So, we need to add 5 kg to the total weight.
Adjusted total weight = 1620 - 2 + 5 = 1623 kg
Finally, we can find the actual average weight of the 45 students by dividing the adjusted total weight by 45:
Actual average weight of 45 students = 1623/45 ≈ 36.07 kg
Therefore, the correct option is (a) 36.07 kg.
- 45 students in a class
- Average weight of 45 students = 36 kg
- One student's actual weight = 32 kg but was calculated as 34 kg
- Another student's actual weight = 45 kg but was calculated as 40 kg
To find: Actual average weight of the 45 students in the class
Solution:
Let's first find out the total weight of all 45 students using the given average weight:
Total weight of 45 students = 45 x 36 = 1620 kg
Now, we need to adjust the wrong calculations made for two students:
- For the first student, actual weight = 32 kg but was calculated as 34 kg. So, we need to subtract 2 kg from the total weight.
- For the second student, actual weight = 45 kg but was calculated as 40 kg. So, we need to add 5 kg to the total weight.
Adjusted total weight = 1620 - 2 + 5 = 1623 kg
Finally, we can find the actual average weight of the 45 students by dividing the adjusted total weight by 45:
Actual average weight of 45 students = 1623/45 ≈ 36.07 kg
Therefore, the correct option is (a) 36.07 kg.
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Community Answer
The average weight of 45 students in a class was calculated as 36 kg....
Total weight of the students with error = 45 x 36 = 1620 kg
Total weight of the students without error = 1620 + 32 - 34 + 45 - 40 = 1623
Average weight = 1623/45 = 36.0667 kg
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The average weight of 45 students in a class was calculated as 36 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 32 kg, but it was calculated as 34 kg and the weight of another boy in the class was 45 kg, whereas it was calculated as 40 kg. What is the actual average weight of the 45 students in the class? (Rounded off to two digits after decimal)a)36.07kgb)36.16kgc)35.84kgd)Cannot be determinede)None of theseCorrect answer is option 'A'. Can you explain this answer?
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The average weight of 45 students in a class was calculated as 36 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 32 kg, but it was calculated as 34 kg and the weight of another boy in the class was 45 kg, whereas it was calculated as 40 kg. What is the actual average weight of the 45 students in the class? (Rounded off to two digits after decimal)a)36.07kgb)36.16kgc)35.84kgd)Cannot be determinede)None of theseCorrect answer is option 'A'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The average weight of 45 students in a class was calculated as 36 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 32 kg, but it was calculated as 34 kg and the weight of another boy in the class was 45 kg, whereas it was calculated as 40 kg. What is the actual average weight of the 45 students in the class? (Rounded off to two digits after decimal)a)36.07kgb)36.16kgc)35.84kgd)Cannot be determinede)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average weight of 45 students in a class was calculated as 36 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 32 kg, but it was calculated as 34 kg and the weight of another boy in the class was 45 kg, whereas it was calculated as 40 kg. What is the actual average weight of the 45 students in the class? (Rounded off to two digits after decimal)a)36.07kgb)36.16kgc)35.84kgd)Cannot be determinede)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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