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Standard deviation of set A
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11 Jun 2026, 14:05
11 Jun 2026, 14:05
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Question Stats:
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28% (01:32) wrong based on 14 sessions
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Set A: \(\{0.2,0.4,0.6,0.8\}\)
Set B: \(\{2,4,6,8\} \)
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given
Set B: \(\{2,4,6,8\} \)
Quantity A |
Quantity B |
Standard deviation of set A |
Standard deviation of set B |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given
- Part of the project: GRE Daily Quant Challenge - Topic-Wise 2025!!!
- Also replying to the unanswered questions
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Re: Standard deviation of set A
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22 Jun 2026, 05:55
22 Jun 2026, 05:55
1
Expert Reply
Explanation
Notice that every element in Set B is exactly 10 times the corresponding element in Set A:
{0.2,0.4,0.6,0.8}×10
{2,4,6,8}
A property of standard deviation is that if every value in a data set is multiplied by a constant k, the standard deviation is also multiplied by ∣k∣.
So:
SD(B)=10×SD(A)
Therefore,
SD(B)>SD(A).
Answer: B
Notice that every element in Set B is exactly 10 times the corresponding element in Set A:
{0.2,0.4,0.6,0.8}×10
{2,4,6,8}
A property of standard deviation is that if every value in a data set is multiplied by a constant k, the standard deviation is also multiplied by ∣k∣.
So:
SD(B)=10×SD(A)
Therefore,
SD(B)>SD(A).
Answer: B
gmatclubot
Re: Standard deviation of set A [#permalink]
22 Jun 2026, 05:55
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