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15 Aug 2017, 01:30
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D
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Difficulty:
25%
(medium)
Question Stats:
69% (00:50) correct
31%
(00:53)
wrong
based on 179
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If the average (arithmetic mean) of 7 numbers is 21, what is the standard deviation of the numbers?
1) The smallest number of them is 21
2) The greatest number of them is 21
1) The smallest number of them is 21
2) The greatest number of them is 21
15 Aug 2017, 02:20
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(1) If the smallest number is 21, then any other number in the set should be at least 21.
Average number would be equal to 21 only if all the numbers in the set would be equal to 21. Thus it means that SD is zero.
SUFF.
(2) If the highest number is 21, then applying same the same logic as statement 1, any other number in the set should be equal to 21 to make the average equal to 21. If any number would be less, then average will be less than 21. Thus again SD is zero and statement 2 is SUFF.
Answer D.
Average number would be equal to 21 only if all the numbers in the set would be equal to 21. Thus it means that SD is zero.
SUFF.
(2) If the highest number is 21, then applying same the same logic as statement 1, any other number in the set should be equal to 21 to make the average equal to 21. If any number would be less, then average will be less than 21. Thus again SD is zero and statement 2 is SUFF.
Answer D.
17 Aug 2017, 00:51
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=>Condition 1)
Since the minimum number and the average are same, all numbers should be 21.
Condition 2)
Since the maximum number and the average are same, all numbers should be 21.
Ans: D
Since the minimum number and the average are same, all numbers should be 21.
Condition 2)
Since the maximum number and the average are same, all numbers should be 21.
Ans: D
