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03 Jun 2019, 00:42
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
68% (01:22) correct
32%
(01:27)
wrong
based on 176
sessions
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Set S is a set of distinct positive integers. The standard deviation of Set S must increase if which of the following were to occur?
I. The smallest number is increased to become equal to the median.
II. The smallest number is increased to become larger than the current largest number.
III. The largest number is doubled.
A. I only
B. II only
C. III only
D. I and III only
E. I, II and III
I. The smallest number is increased to become equal to the median.
II. The smallest number is increased to become larger than the current largest number.
III. The largest number is doubled.
A. I only
B. II only
C. III only
D. I and III only
E. I, II and III
Updated on: 17 May 2021, 08:27
Originally posted by BrentGMATPrepNow on 03 Jun 2019, 05:25.
Last edited by BrentGMATPrepNow on 17 May 2021, 08:27, edited 2 times in total.
Last edited by BrentGMATPrepNow on 17 May 2021, 08:27, edited 2 times in total.
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Bunuel
Nice question, Bunuel!!
The question asks "The standard deviation of Set S must increase if which of the following were to occur?"
So, if we can find a case in which the standard deviation does NOT increase, we can ELIMINATE it.
Let's check each statement....
I. The smallest number is increased to become equal to the median.
If we take the set {1, 18, 19} and increase the smallest number to equal the median, we get: {18, 18, 19}
This causes the standard deviation to DECREASE
So, statement I need not be true.
Scan the answer choices....ELIMINATE A, D and E
II. The smallest number is increased to become larger than the current largest number.
If we take the set {1, 900} and increase the smallest number to become larger than the current largest number., we get: {901, 900}
This causes the standard deviation to DECREASE
So, statement II need not be true.
Scan the answer choices....ELIMINATE B
By the process of elimination, the correct answer is C
Cheers,
Brent
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mehro023
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GMAT 5: 730 Q50 V40
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02 May 2020, 19:05
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BrentGMATPrepNow
The questions says Set S is a set of distinct positive integers, your solution contains S having negative integers too.
Although the solution is correct, thought i would point that out
Thanks,
K
The questions says Set S is a set of distinct positive integers, your solution contains S having negative integers too.
Although the solution is correct, thought i would point that out
Thanks,
K
