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Set A: {7, 4, 1, 0, 5, 8, 10, 10, 13, 21} In Set A above,
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Updated on: 06 Dec 2022, 06:06
Updated on: 06 Dec 2022, 06:06
Expert Reply
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A
B
C
D
E
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G
Question Stats:
25% (01:36) correct
74% (02:14) wrong based on 31 sessions
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Set A: {−7, −4, −1, 0, 5, 8, 10, 10, 13, 21}
In Set A above, if positive integer x is subtracted from the 3 largest numbers in the list and x is added to the 3 smallest even numbers in the list, which of the following will be true ?
Indicate all that apply
A. The average of the set will increase by x.
B. The average of the set will decrease by x.
C. The average of the set will stay the same.
D. There will be no mode in the new set.
E. The standard deviation of the set will stay the same.
F. The median of the set will stay the same.
G. The median of the set will increase by x.
In Set A above, if positive integer x is subtracted from the 3 largest numbers in the list and x is added to the 3 smallest even numbers in the list, which of the following will be true ?
Indicate all that apply
A. The average of the set will increase by x.
B. The average of the set will decrease by x.
C. The average of the set will stay the same.
D. There will be no mode in the new set.
E. The standard deviation of the set will stay the same.
F. The median of the set will stay the same.
G. The median of the set will increase by x.
Drill 3
Question: 7
Page: 529
Question: 7
Page: 529
Re: Set A: {7, 4, 1, 0, 5, 8, 10, 10, 13, 21} In Set A above,
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29 Dec 2017, 15:18
29 Dec 2017, 15:18
Expert Reply
Explanation
There are variables in the answer choices, so Plug In.
Try x = 3. Now write out your new set of numbers. Since you are subtracting 3 and adding 3 the same number of times, the sum and average stay the same, so eliminate choices (A) and (B). The median decreases by 0.5, so eliminate choices (F) and (G). There are now two modes in the set, so eliminate choice (D).
The distance of the numbers from the mean changes in the new set, so the standard deviation is not the same. Eliminate choice (E). The correct answer is choice C.
There are variables in the answer choices, so Plug In.
Try x = 3. Now write out your new set of numbers. Since you are subtracting 3 and adding 3 the same number of times, the sum and average stay the same, so eliminate choices (A) and (B). The median decreases by 0.5, so eliminate choices (F) and (G). There are now two modes in the set, so eliminate choice (D).
The distance of the numbers from the mean changes in the new set, so the standard deviation is not the same. Eliminate choice (E). The correct answer is choice C.
Re: Set A: {7, 4, 1, 0, 5, 8, 10, 10, 13, 21} In Set A above,
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24 Sep 2019, 04:35
24 Sep 2019, 04:35
1
How does the median decrease by 0.5?
