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29 Nov 2019, 06:25
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E
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Difficulty:
5%
(low)
Question Stats:
88% (00:46) correct
12%
(00:33)
wrong
based on 67
sessions
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Not Attempted Yet
The standard deviation of which of the following is the same as the standard deviation of 1, 2, 3, 4, and 5?
I. -1, -2, -3, -4, -5
II. -1, 0, 3, 5, 7
III. 101, 102, 103, 104, 105
(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I and III only
I. -1, -2, -3, -4, -5
II. -1, 0, 3, 5, 7
III. 101, 102, 103, 104, 105
(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I and III only
udaypratapsingh99
Joined: 12 Jan 2019
Last visit: 11 Nov 2025
Posts: 395
Own Kudos:
Given Kudos: 372
Location: India
Concentration: Strategy, Leadership
Schools: Fuqua '24 Harvard '24 LBS '24 NTU NUS Said '23 Ross '24 Sloan '24 Stanford '24 Tepper '24 Tuck '24 Wharton '24 Yale '24
GMAT 1: 660 Q47 V34
Products:
Schools: Fuqua '24 Harvard '24 LBS '24 NTU NUS Said '23 Ross '24 Sloan '24 Stanford '24 Tepper '24 Tuck '24 Wharton '24 Yale '24
GMAT 1: 660 Q47 V34
Posts: 395
Kudos:
241
29 Nov 2019, 07:24
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rohan2345
Standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean (also called the expected value) of the set, while a high standard deviation indicates that the values are spread out over a wider range.
By looking at options we can clearly say 1 and 3 deviate equally from mean while 2 deviates more. Hence E is the correct answer.
29 Nov 2019, 07:31
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Standard Deviation shows how members of a group differ from the mean value for the group.
Hence, it depends only on the difference between the various terms, the absolute values of term doesn't matter.
Rule:
1) if same number is added or subtracted from a set, the Standard deviation remains the same
Hence, 101, 102, 103, 104, 105 has the same SD of 1, 2, 3, 4, and 5.
2) if k is multiplied to all terms of a set, the new SD of set = |k|* original SD
I. -1, -2, -3, -4, -5 : SD will be |-1|SD of 1, 2, 3, 4, and 5
hence, both sets have same SD
Whereas, II has many irregularities, hence difference SD
Answer is E
Hence, it depends only on the difference between the various terms, the absolute values of term doesn't matter.
Rule:
1) if same number is added or subtracted from a set, the Standard deviation remains the same
Hence, 101, 102, 103, 104, 105 has the same SD of 1, 2, 3, 4, and 5.
2) if k is multiplied to all terms of a set, the new SD of set = |k|* original SD
I. -1, -2, -3, -4, -5 : SD will be |-1|SD of 1, 2, 3, 4, and 5
hence, both sets have same SD
Whereas, II has many irregularities, hence difference SD
Answer is E
rohan2345
