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There are 75 students in a class and their average marks is 50 and S.D of marks is 5. Number of studentswho have secured more than 60 marks (Given that area under the normal curve for z = 2 is 0.4772) is Mark for review later 2 3 4?
Most Upvoted Answer
There are 75 students in a class and their average marks is 50 and S.D...
Calculating the number of students who scored more than 60 marks:
- Given, average marks = 50 and S.D of marks = 5
- Let X be the random variable denoting the marks obtained by a student
- We can use the formula Z = (X - μ) / σ to convert X to Z-score
- Z-score for 60 marks is Z = (60 - 50) / 5 = 2
- Area under the normal curve for Z = 2 is 0.4772 (given in the question)
- Let P be the proportion of students who scored more than 60 marks
- Using the standard normal distribution table or calculator, we can find the area to the right of Z = 2, which is 0.4772
- Therefore, P = 0.4772 (proportion of students who scored more than 60 marks)
- Total number of students in the class = 75
- Number of students who scored more than 60 marks = P * Total number of students = 0.4772 * 75 = 35.79
- Rounding off to the nearest integer, we get the number of students who scored more than 60 marks as 36.
Community Answer
There are 75 students in a class and their average marks is 50 and S.D...
In a class of 50 students, 10 have failed and their average marks is 2.5. The total marks
secured by the entire class were 281. The average marks who have passed is :
secured by the entire class were 281. The average marks who have passed is :
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There are 75 students in a class and their average marks is 50 and S.D of marks is 5. Number of studentswho have secured more than 60 marks (Given that area under the normal curve for z = 2 is 0.4772) is Mark for review later 2 3 4?
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There are 75 students in a class and their average marks is 50 and S.D of marks is 5. Number of studentswho have secured more than 60 marks (Given that area under the normal curve for z = 2 is 0.4772) is Mark for review later 2 3 4? 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 There are 75 students in a class and their average marks is 50 and S.D of marks is 5. Number of studentswho have secured more than 60 marks (Given that area under the normal curve for z = 2 is 0.4772) is Mark for review later 2 3 4? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are 75 students in a class and their average marks is 50 and S.D of marks is 5. Number of studentswho have secured more than 60 marks (Given that area under the normal curve for z = 2 is 0.4772) is Mark for review later 2 3 4?.
There are 75 students in a class and their average marks is 50 and S.D of marks is 5. Number of studentswho have secured more than 60 marks (Given that area under the normal curve for z = 2 is 0.4772) is Mark for review later 2 3 4? 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 There are 75 students in a class and their average marks is 50 and S.D of marks is 5. Number of studentswho have secured more than 60 marks (Given that area under the normal curve for z = 2 is 0.4772) is Mark for review later 2 3 4? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are 75 students in a class and their average marks is 50 and S.D of marks is 5. Number of studentswho have secured more than 60 marks (Given that area under the normal curve for z = 2 is 0.4772) is Mark for review later 2 3 4?.
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