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26 May 2021, 03:30
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A
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Difficulty:
45%
(medium)
Question Stats:
51% (00:50) correct
49%
(01:04)
wrong
based on 114
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Is the standard deviation of set Q equal to 0?
(1) The average (arithmetic mean) of set Q is equal to the greatest number in Q.
(2) The median of set Q is equal to the greatest number in Q.
(1) The average (arithmetic mean) of set Q is equal to the greatest number in Q.
(2) The median of set Q is equal to the greatest number in Q.
29 May 2021, 06:15
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Bunuel
Is the standard deviation of set Q equal to 0?
(1) The average (arithmetic mean) of set Q is equal to the greatest number in Q. Since mean = greatest, then Q consists of all identical elements. This implies that the standard deviation is 0 (the standard deviation of a set is zero if and only the set consists of identical numbers). Sufficient.
(2) The median of set Q is equal to the greatest number in Q. Clearly insufficient: If Q = {1}, then SD = 0, but if Q = {1, 2, 2}, then SD > 0. Not sufficient.
Answer: A.
Check other Standard Deviation Questions in our Special Questions Directory.
Hope this helps.
28 Sep 2025, 09:17
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My set wouldn’t it mean distinct number group ?
