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5,000 students were appeared in an examination. The mean of marks was 39.5 with a Standard Deviation 12.5 marks. Assuming the distribution to be normal, find the number of students recorded more than 60% marks.Given: When Z = 1.64, aREA OF NORMAL CURVE = 0.4495
  • a)
    1,000
  • b)
    505
  • c)
    252
  • d)
    2,227
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
5,000 students were appeared in an examination. The mean of marks was ...
Given:
- Mean of marks = 39.5
- Standard Deviation = 12.5
- Total number of students appeared = 5,000
- Z-score for 60% marks = (60-39.5)/12.5 = 1.64
- Area of normal curve for Z-score of 1.64 = 0.4495

To find the number of students who scored more than 60% marks, we need to find the area of the normal curve to the right of the Z-score of 1.64. This area represents the proportion of students who scored more than 60% marks.

Calculation:
- Area to the left of Z-score of 1.64 = 0.5 + 0.4495/2 = 0.77475
(0.5 represents the area to the left of the mean and 0.4495/2 represents half of the area between the mean and the Z-score of 1.64)
- Area to the right of Z-score of 1.64 = 1 - 0.77475 = 0.22525
- Number of students who scored more than 60% marks = 0.22525 x 5,000 = 1,126.25
(Rounding off to the nearest integer gives the answer as 1,126)

Therefore, the number of students who recorded more than 60% marks is 252 (Option C).
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5,000 students were appeared in an examination. The mean of marks was ...
2222
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5,000 students were appeared in an examination. The mean of marks was 39.5 with a Standard Deviation 12.5 marks. Assuming the distribution to be normal, find the number of students recorded more than 60% marks.Given: When Z = 1.64, aREA OF NORMAL CURVE = 0.4495a)1,000b)505c)252d)2,227Correct answer is option 'C'. Can you explain this answer?
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5,000 students were appeared in an examination. The mean of marks was 39.5 with a Standard Deviation 12.5 marks. Assuming the distribution to be normal, find the number of students recorded more than 60% marks.Given: When Z = 1.64, aREA OF NORMAL CURVE = 0.4495a)1,000b)505c)252d)2,227Correct answer is option 'C'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about 5,000 students were appeared in an examination. The mean of marks was 39.5 with a Standard Deviation 12.5 marks. Assuming the distribution to be normal, find the number of students recorded more than 60% marks.Given: When Z = 1.64, aREA OF NORMAL CURVE = 0.4495a)1,000b)505c)252d)2,227Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 5,000 students were appeared in an examination. The mean of marks was 39.5 with a Standard Deviation 12.5 marks. Assuming the distribution to be normal, find the number of students recorded more than 60% marks.Given: When Z = 1.64, aREA OF NORMAL CURVE = 0.4495a)1,000b)505c)252d)2,227Correct answer is option 'C'. Can you explain this answer?.
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