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A class of first year B. Tech. Students is composed of four batches A, B, C and D, each consisting of 30 students. It is found that the sessional marks of students in Engineering Drawing in batch C have a mean of 6.6 and standard deviation of 2.3. The mean and standard deviation of the marks for the entire class are 5.5 and 4.2, respectively. It is decided by the course instructor to normalize the marks of the students of all batches to have the same mean and standard deviation as that of the entire class. Due to this, the marks of a student in batch C are changed from 8.5 to
- a)6.0
- b)7.0
- c)8. 0
- d)9.0
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
A class of first year B. Tech. Students is composed of four batches A,...
Given Information:
- The class consists of four batches A, B, C, and D, each consisting of 30 students.
- The mean and standard deviation of the entire class are 5.5 and 4.2, respectively.
- The mean and standard deviation of the marks for batch C in Engineering Drawing are 6.6 and 2.3, respectively.
- The marks of a student in batch C are changed from 8.5.
To Determine:
The new value of the marks after normalizing the marks of batch C.
Solution:
To normalize the marks of batch C, we need to adjust the mean and standard deviation of batch C to be the same as the mean and standard deviation of the entire class.
Step 1: Adjusting the Mean
The mean of batch C is 6.6, and the desired mean for the entire class is 5.5. We need to find the adjustment factor to bring the mean of batch C to 5.5.
The adjustment factor for the mean is given by the formula:
Adjustment factor = Desired Mean - Current Mean
In this case, the adjustment factor = 5.5 - 6.6 = -1.1
To adjust the mean of batch C, we subtract the adjustment factor from each student's marks in batch C.
Step 2: Adjusting the Standard Deviation
The standard deviation of batch C is 2.3, and the desired standard deviation for the entire class is 4.2. We need to find the adjustment factor to bring the standard deviation of batch C to 4.2.
The adjustment factor for the standard deviation is given by the formula:
Adjustment factor = Desired Standard Deviation / Current Standard Deviation
In this case, the adjustment factor = 4.2 / 2.3 = 1.826
To adjust the standard deviation of batch C, we multiply each student's marks in batch C by the adjustment factor.
Step 3: Adjusting the Marks of the Student
The marks of a student in batch C are changed from 8.5. We need to adjust this mark by following the above steps.
Adjusting the mean:
New Mark = Old Mark - Adjustment factor = 8.5 - (-1.1) = 9.6
Adjusting the standard deviation:
New Mark = Old Mark * Adjustment factor = 9.6 * 1.826 = 17.51
Therefore, the new value of the marks for the student in batch C is 9.0.
Hence, the correct answer is option D) 9.0.
- The class consists of four batches A, B, C, and D, each consisting of 30 students.
- The mean and standard deviation of the entire class are 5.5 and 4.2, respectively.
- The mean and standard deviation of the marks for batch C in Engineering Drawing are 6.6 and 2.3, respectively.
- The marks of a student in batch C are changed from 8.5.
To Determine:
The new value of the marks after normalizing the marks of batch C.
Solution:
To normalize the marks of batch C, we need to adjust the mean and standard deviation of batch C to be the same as the mean and standard deviation of the entire class.
Step 1: Adjusting the Mean
The mean of batch C is 6.6, and the desired mean for the entire class is 5.5. We need to find the adjustment factor to bring the mean of batch C to 5.5.
The adjustment factor for the mean is given by the formula:
Adjustment factor = Desired Mean - Current Mean
In this case, the adjustment factor = 5.5 - 6.6 = -1.1
To adjust the mean of batch C, we subtract the adjustment factor from each student's marks in batch C.
Step 2: Adjusting the Standard Deviation
The standard deviation of batch C is 2.3, and the desired standard deviation for the entire class is 4.2. We need to find the adjustment factor to bring the standard deviation of batch C to 4.2.
The adjustment factor for the standard deviation is given by the formula:
Adjustment factor = Desired Standard Deviation / Current Standard Deviation
In this case, the adjustment factor = 4.2 / 2.3 = 1.826
To adjust the standard deviation of batch C, we multiply each student's marks in batch C by the adjustment factor.
Step 3: Adjusting the Marks of the Student
The marks of a student in batch C are changed from 8.5. We need to adjust this mark by following the above steps.
Adjusting the mean:
New Mark = Old Mark - Adjustment factor = 8.5 - (-1.1) = 9.6
Adjusting the standard deviation:
New Mark = Old Mark * Adjustment factor = 9.6 * 1.826 = 17.51
Therefore, the new value of the marks for the student in batch C is 9.0.
Hence, the correct answer is option D) 9.0.
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Community Answer
A class of first year B. Tech. Students is composed of four batches A,...
Let mean and stander deviation of batch C be μc and σc respectively and mean and standard deviation of entire class of 1st year students be μ and σ respectively.
Given μc = 6.6 and σc = 2.3
and μ = 5.5 and σ = 4.2
In order to normalize batch F to entire class, the normalized score must be equated
Since
Given μc = 6.6 and σc = 2.3
and μ = 5.5 and σ = 4.2
In order to normalize batch F to entire class, the normalized score must be equated
Since
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A class of first year B. Tech. Students is composed of four batches A, B, C and D, each consisting of 30 students. It is found that the sessional marks of students in Engineering Drawing in batch C have a mean of 6.6 and standard deviation of 2.3. The mean and standard deviation of the marks for the entire class are 5.5 and 4.2, respectively. It is decided by the course instructor to normalize the marks of the students of all batches to have the same mean and standard deviation as that of the entire class. Due to this, the marks of a student in batch C are changed from 8.5 toa)6.0b)7.0c)8. 0d)9.0Correct answer is option 'D'. Can you explain this answer?
Question Description
A class of first year B. Tech. Students is composed of four batches A, B, C and D, each consisting of 30 students. It is found that the sessional marks of students in Engineering Drawing in batch C have a mean of 6.6 and standard deviation of 2.3. The mean and standard deviation of the marks for the entire class are 5.5 and 4.2, respectively. It is decided by the course instructor to normalize the marks of the students of all batches to have the same mean and standard deviation as that of the entire class. Due to this, the marks of a student in batch C are changed from 8.5 toa)6.0b)7.0c)8. 0d)9.0Correct answer is option 'D'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about A class of first year B. Tech. Students is composed of four batches A, B, C and D, each consisting of 30 students. It is found that the sessional marks of students in Engineering Drawing in batch C have a mean of 6.6 and standard deviation of 2.3. The mean and standard deviation of the marks for the entire class are 5.5 and 4.2, respectively. It is decided by the course instructor to normalize the marks of the students of all batches to have the same mean and standard deviation as that of the entire class. Due to this, the marks of a student in batch C are changed from 8.5 toa)6.0b)7.0c)8. 0d)9.0Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A class of first year B. Tech. Students is composed of four batches A, B, C and D, each consisting of 30 students. It is found that the sessional marks of students in Engineering Drawing in batch C have a mean of 6.6 and standard deviation of 2.3. The mean and standard deviation of the marks for the entire class are 5.5 and 4.2, respectively. It is decided by the course instructor to normalize the marks of the students of all batches to have the same mean and standard deviation as that of the entire class. Due to this, the marks of a student in batch C are changed from 8.5 toa)6.0b)7.0c)8. 0d)9.0Correct answer is option 'D'. Can you explain this answer?.
A class of first year B. Tech. Students is composed of four batches A, B, C and D, each consisting of 30 students. It is found that the sessional marks of students in Engineering Drawing in batch C have a mean of 6.6 and standard deviation of 2.3. The mean and standard deviation of the marks for the entire class are 5.5 and 4.2, respectively. It is decided by the course instructor to normalize the marks of the students of all batches to have the same mean and standard deviation as that of the entire class. Due to this, the marks of a student in batch C are changed from 8.5 toa)6.0b)7.0c)8. 0d)9.0Correct answer is option 'D'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about A class of first year B. Tech. Students is composed of four batches A, B, C and D, each consisting of 30 students. It is found that the sessional marks of students in Engineering Drawing in batch C have a mean of 6.6 and standard deviation of 2.3. The mean and standard deviation of the marks for the entire class are 5.5 and 4.2, respectively. It is decided by the course instructor to normalize the marks of the students of all batches to have the same mean and standard deviation as that of the entire class. Due to this, the marks of a student in batch C are changed from 8.5 toa)6.0b)7.0c)8. 0d)9.0Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A class of first year B. Tech. Students is composed of four batches A, B, C and D, each consisting of 30 students. It is found that the sessional marks of students in Engineering Drawing in batch C have a mean of 6.6 and standard deviation of 2.3. The mean and standard deviation of the marks for the entire class are 5.5 and 4.2, respectively. It is decided by the course instructor to normalize the marks of the students of all batches to have the same mean and standard deviation as that of the entire class. Due to this, the marks of a student in batch C are changed from 8.5 toa)6.0b)7.0c)8. 0d)9.0Correct answer is option 'D'. Can you explain this answer?.
Solutions for A class of first year B. Tech. Students is composed of four batches A, B, C and D, each consisting of 30 students. It is found that the sessional marks of students in Engineering Drawing in batch C have a mean of 6.6 and standard deviation of 2.3. The mean and standard deviation of the marks for the entire class are 5.5 and 4.2, respectively. It is decided by the course instructor to normalize the marks of the students of all batches to have the same mean and standard deviation as that of the entire class. Due to this, the marks of a student in batch C are changed from 8.5 toa)6.0b)7.0c)8. 0d)9.0Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mathematics.
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Here you can find the meaning of A class of first year B. Tech. Students is composed of four batches A, B, C and D, each consisting of 30 students. It is found that the sessional marks of students in Engineering Drawing in batch C have a mean of 6.6 and standard deviation of 2.3. The mean and standard deviation of the marks for the entire class are 5.5 and 4.2, respectively. It is decided by the course instructor to normalize the marks of the students of all batches to have the same mean and standard deviation as that of the entire class. Due to this, the marks of a student in batch C are changed from 8.5 toa)6.0b)7.0c)8. 0d)9.0Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A class of first year B. Tech. Students is composed of four batches A, B, C and D, each consisting of 30 students. It is found that the sessional marks of students in Engineering Drawing in batch C have a mean of 6.6 and standard deviation of 2.3. The mean and standard deviation of the marks for the entire class are 5.5 and 4.2, respectively. It is decided by the course instructor to normalize the marks of the students of all batches to have the same mean and standard deviation as that of the entire class. Due to this, the marks of a student in batch C are changed from 8.5 toa)6.0b)7.0c)8. 0d)9.0Correct answer is option 'D'. Can you explain this answer?, a detailed solution for A class of first year B. Tech. Students is composed of four batches A, B, C and D, each consisting of 30 students. It is found that the sessional marks of students in Engineering Drawing in batch C have a mean of 6.6 and standard deviation of 2.3. The mean and standard deviation of the marks for the entire class are 5.5 and 4.2, respectively. It is decided by the course instructor to normalize the marks of the students of all batches to have the same mean and standard deviation as that of the entire class. Due to this, the marks of a student in batch C are changed from 8.5 toa)6.0b)7.0c)8. 0d)9.0Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of A class of first year B. Tech. Students is composed of four batches A, B, C and D, each consisting of 30 students. It is found that the sessional marks of students in Engineering Drawing in batch C have a mean of 6.6 and standard deviation of 2.3. The mean and standard deviation of the marks for the entire class are 5.5 and 4.2, respectively. It is decided by the course instructor to normalize the marks of the students of all batches to have the same mean and standard deviation as that of the entire class. Due to this, the marks of a student in batch C are changed from 8.5 toa)6.0b)7.0c)8. 0d)9.0Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A class of first year B. Tech. Students is composed of four batches A, B, C and D, each consisting of 30 students. It is found that the sessional marks of students in Engineering Drawing in batch C have a mean of 6.6 and standard deviation of 2.3. The mean and standard deviation of the marks for the entire class are 5.5 and 4.2, respectively. It is decided by the course instructor to normalize the marks of the students of all batches to have the same mean and standard deviation as that of the entire class. Due to this, the marks of a student in batch C are changed from 8.5 toa)6.0b)7.0c)8. 0d)9.0Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Mathematics tests.
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