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27 Dec 2015, 08:39
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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:
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Question Stats:
70% (01:38) correct
30%
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wrong
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List L consists of 12, 8, 10, 14, and 6. If two numbers are removed from list L, what is the standard deviation of the new list?
(1) The range of the new list is 8.
(2) The median of the new list is 8.
(1) The range of the new list is 8.
(2) The median of the new list is 8.
27 Dec 2015, 11:34
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Bunuel
SOLUTION:
First rearrange the set. 6,8,10,12,14. consecutive even integers. so evenly distributed.--> Mean = Median = 10. and Range=14-6=8
We don't have to calculate Standard deviation of any set in this problem, but we have to know distribution of the numbers with respect to Mean.
So only thing we have to know is which two numbers are removed.
Statement 1) The range of the new list is 8.
6 and 14 are not removed. but we don't know which two numbers are removed from 8,10 and 12.
For example, if 8 and 12 are removed then our mean will be 10.
Variance of the set is \((16+16)/3=32/3=10.66\)
if 10 and 12 are removed then our mean will be 9.33.
Variance of the set is \((10.89+1.76+21.8)/3=11.48\)
Hence Insufficient
Statement 2) The median of the new list is 8.
we know 6 and 8 are not removed, but we don't know which two number are removed from 10,12,14.
Hence Insufficient.
Statement 1 and Statement 2 Together.
From Statement 1. we know 6 and 14 are not removed.
From Statement 2. we know 6 and 8 are not removed.
thus new set is 6,8 and 14. Now we can find definite Standard deviation Value.
Hence Sufficient
Ans C
20 Jul 2023, 01:17
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