Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > Which of the following assertions are CORRECT...
Start Learning for Free
Which of the following assertions are CORRECT?
P: Adding 7 to each entry in a list adds 7 to the mean of the list
Q: Adding 7 to each entry in a list adds 7 to the standard deviation of the list
R: Doubling each entry in a list doubles the mean of the list
S: Doubling each entry in a list leaves the standard deviation of the list unchanged
P: Adding 7 to each entry in a list adds 7 to the mean of the list
Q: Adding 7 to each entry in a list adds 7 to the standard deviation of the list
R: Doubling each entry in a list doubles the mean of the list
S: Doubling each entry in a list leaves the standard deviation of the list unchanged
- a)P, Q
- b)Q, R
- c)P, R
- d)R, S
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Which of the following assertions are CORRECT?P: Adding 7 to each entr...
P and R always hold true
Else consider a sample set {1, 2, 3, 4} and check accordingly
Else consider a sample set {1, 2, 3, 4} and check accordingly
Most Upvoted Answer
Which of the following assertions are CORRECT?P: Adding 7 to each entr...
Correct Assertions Regarding Effects of Adding and Doubling Entries in a List
The following assertions are correct:
- Adding 7 to each entry in a list adds 7 to the mean of the list (P)
- Adding 7 to each entry in a list does not add 7 to the standard deviation of the list (not Q)
- Doubling each entry in a list doubles the mean of the list (R)
- Doubling each entry in a list does not leave the standard deviation of the list unchanged (not S)
Explanation:
Adding a constant value to each entry in a list affects the measures of central tendency (mean, median, mode) but not the measures of dispersion (standard deviation, range, quartiles), as they are based on the differences between the values and the mean.
- Adding 7 to each entry in a list adds 7 to the sum of the list, and thus increases the mean of the list by 7. For example, if a list has entries [1, 3, 5], the mean is (1+3+5)/3 = 3, and adding 7 to each entry results in [8, 10, 12], with a new mean of (8+10+12)/3 = 10.
- Adding a constant value to each entry does not affect the differences between the entries, and thus does not affect the standard deviation of the list. For example, if a list has entries [1, 3, 5], the standard deviation is 1.63, and adding 7 to each entry results in [8, 10, 12], with the same standard deviation of 1.63.
- Doubling each entry in a list doubles the sum of the list, and thus doubles the mean of the list. For example, if a list has entries [1, 3, 5], the mean is 3, and doubling each entry results in [2, 6, 10], with a new mean of 6.
- Doubling each entry in a list affects the differences between the entries, and thus affects the standard deviation of the list. Doubling each entry multiplies the standard deviation by 2, as it amplifies the relative distances from the mean. For example, if a list has entries [1, 3, 5], the standard deviation is 1.63, and doubling each entry results in [2, 6, 10], with a new standard deviation of 3.27.
Therefore, the correct assertions are P and R, and the incorrect assertions are Q and S.
The following assertions are correct:
- Adding 7 to each entry in a list adds 7 to the mean of the list (P)
- Adding 7 to each entry in a list does not add 7 to the standard deviation of the list (not Q)
- Doubling each entry in a list doubles the mean of the list (R)
- Doubling each entry in a list does not leave the standard deviation of the list unchanged (not S)
Explanation:
Adding a constant value to each entry in a list affects the measures of central tendency (mean, median, mode) but not the measures of dispersion (standard deviation, range, quartiles), as they are based on the differences between the values and the mean.
- Adding 7 to each entry in a list adds 7 to the sum of the list, and thus increases the mean of the list by 7. For example, if a list has entries [1, 3, 5], the mean is (1+3+5)/3 = 3, and adding 7 to each entry results in [8, 10, 12], with a new mean of (8+10+12)/3 = 10.
- Adding a constant value to each entry does not affect the differences between the entries, and thus does not affect the standard deviation of the list. For example, if a list has entries [1, 3, 5], the standard deviation is 1.63, and adding 7 to each entry results in [8, 10, 12], with the same standard deviation of 1.63.
- Doubling each entry in a list doubles the sum of the list, and thus doubles the mean of the list. For example, if a list has entries [1, 3, 5], the mean is 3, and doubling each entry results in [2, 6, 10], with a new mean of 6.
- Doubling each entry in a list affects the differences between the entries, and thus affects the standard deviation of the list. Doubling each entry multiplies the standard deviation by 2, as it amplifies the relative distances from the mean. For example, if a list has entries [1, 3, 5], the standard deviation is 1.63, and doubling each entry results in [2, 6, 10], with a new standard deviation of 3.27.
Therefore, the correct assertions are P and R, and the incorrect assertions are Q and S.
Attention Computer Science Engineering (CSE) Students!
To make sure you are not studying endlessly, EduRev has designed Computer Science Engineering (CSE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Computer Science Engineering (CSE).
|
Explore Courses for Computer Science Engineering (CSE) exam
|
|
Similar Computer Science Engineering (CSE) Doubts
Top Courses for Computer Science Engineering (CSE)View all
Which of the following assertions are CORRECT?P: Adding 7 to each entry in a list adds 7 to the mean of the listQ: Adding 7 to each entry in a list adds 7 to the standard deviation of the listR: Doubling each entry in a list doubles the mean of the listS: Doubling each entry in a list leaves the standard deviation of the list unchangeda)P, Qb)Q, Rc)P, Rd)R, SCorrect answer is option 'C'. Can you explain this answer?
Question Description
Which of the following assertions are CORRECT?P: Adding 7 to each entry in a list adds 7 to the mean of the listQ: Adding 7 to each entry in a list adds 7 to the standard deviation of the listR: Doubling each entry in a list doubles the mean of the listS: Doubling each entry in a list leaves the standard deviation of the list unchangeda)P, Qb)Q, Rc)P, Rd)R, SCorrect answer is option 'C'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Which of the following assertions are CORRECT?P: Adding 7 to each entry in a list adds 7 to the mean of the listQ: Adding 7 to each entry in a list adds 7 to the standard deviation of the listR: Doubling each entry in a list doubles the mean of the listS: Doubling each entry in a list leaves the standard deviation of the list unchangeda)P, Qb)Q, Rc)P, Rd)R, SCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following assertions are CORRECT?P: Adding 7 to each entry in a list adds 7 to the mean of the listQ: Adding 7 to each entry in a list adds 7 to the standard deviation of the listR: Doubling each entry in a list doubles the mean of the listS: Doubling each entry in a list leaves the standard deviation of the list unchangeda)P, Qb)Q, Rc)P, Rd)R, SCorrect answer is option 'C'. Can you explain this answer?.
Which of the following assertions are CORRECT?P: Adding 7 to each entry in a list adds 7 to the mean of the listQ: Adding 7 to each entry in a list adds 7 to the standard deviation of the listR: Doubling each entry in a list doubles the mean of the listS: Doubling each entry in a list leaves the standard deviation of the list unchangeda)P, Qb)Q, Rc)P, Rd)R, SCorrect answer is option 'C'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Which of the following assertions are CORRECT?P: Adding 7 to each entry in a list adds 7 to the mean of the listQ: Adding 7 to each entry in a list adds 7 to the standard deviation of the listR: Doubling each entry in a list doubles the mean of the listS: Doubling each entry in a list leaves the standard deviation of the list unchangeda)P, Qb)Q, Rc)P, Rd)R, SCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following assertions are CORRECT?P: Adding 7 to each entry in a list adds 7 to the mean of the listQ: Adding 7 to each entry in a list adds 7 to the standard deviation of the listR: Doubling each entry in a list doubles the mean of the listS: Doubling each entry in a list leaves the standard deviation of the list unchangeda)P, Qb)Q, Rc)P, Rd)R, SCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Which of the following assertions are CORRECT?P: Adding 7 to each entry in a list adds 7 to the mean of the listQ: Adding 7 to each entry in a list adds 7 to the standard deviation of the listR: Doubling each entry in a list doubles the mean of the listS: Doubling each entry in a list leaves the standard deviation of the list unchangeda)P, Qb)Q, Rc)P, Rd)R, SCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Computer Science Engineering (CSE).
Download more important topics, notes, lectures and mock test series for Computer Science Engineering (CSE) Exam by signing up for free.
Here you can find the meaning of Which of the following assertions are CORRECT?P: Adding 7 to each entry in a list adds 7 to the mean of the listQ: Adding 7 to each entry in a list adds 7 to the standard deviation of the listR: Doubling each entry in a list doubles the mean of the listS: Doubling each entry in a list leaves the standard deviation of the list unchangeda)P, Qb)Q, Rc)P, Rd)R, SCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Which of the following assertions are CORRECT?P: Adding 7 to each entry in a list adds 7 to the mean of the listQ: Adding 7 to each entry in a list adds 7 to the standard deviation of the listR: Doubling each entry in a list doubles the mean of the listS: Doubling each entry in a list leaves the standard deviation of the list unchangeda)P, Qb)Q, Rc)P, Rd)R, SCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Which of the following assertions are CORRECT?P: Adding 7 to each entry in a list adds 7 to the mean of the listQ: Adding 7 to each entry in a list adds 7 to the standard deviation of the listR: Doubling each entry in a list doubles the mean of the listS: Doubling each entry in a list leaves the standard deviation of the list unchangeda)P, Qb)Q, Rc)P, Rd)R, SCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Which of the following assertions are CORRECT?P: Adding 7 to each entry in a list adds 7 to the mean of the listQ: Adding 7 to each entry in a list adds 7 to the standard deviation of the listR: Doubling each entry in a list doubles the mean of the listS: Doubling each entry in a list leaves the standard deviation of the list unchangeda)P, Qb)Q, Rc)P, Rd)R, SCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Which of the following assertions are CORRECT?P: Adding 7 to each entry in a list adds 7 to the mean of the listQ: Adding 7 to each entry in a list adds 7 to the standard deviation of the listR: Doubling each entry in a list doubles the mean of the listS: Doubling each entry in a list leaves the standard deviation of the list unchangeda)P, Qb)Q, Rc)P, Rd)R, SCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Computer Science Engineering (CSE) tests.
|
|
Explore Courses for Computer Science Engineering (CSE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup