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25 Jun 2021, 01:30
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
55% (01:29) correct
45%
(01:07)
wrong
based on 139
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What is the standard deviation of a set of numbers whose mean is 20?
(1) The absolute value of the difference of each number in the set from the mean is equal
(2) The sum of the squares of the differences from the mean is greater than 100
(1) The absolute value of the difference of each number in the set from the mean is equal
(2) The sum of the squares of the differences from the mean is greater than 100
25 Jun 2021, 03:11
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Bunuel
I think Statement 1 means to say that each element in the set is the same distance from the average (Statement 1 doesn't make sense as written -- for one thing, if it means to say several numbers are equal to each other, the verb needs to be plural).
Even using both Statements, we don't have nearly enough information to compute the standard deviation. If every value in a list is the same distance from the mean, then that distance is the standard deviation. So, for example, in this list:
14, 14, 14, 26, 26, 26
where each value is 6 from the mean, the standard deviation is 6. So Statement 1 tells us something potentially useful, but Statement 2 is not nearly enough help. Here, the standard deviation can really be anything greater than zero; the inequality in Statement 2 can't possibly let us compute an exact value of it.
25 Jun 2021, 03:24
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We do not get any idea about SD with Statements 1 and 2 together
(E) is the answer IMO
How many numbers in total and what is the actual distribution of them wrt Mean will help us in knowing SD
(E) is the answer IMO
How many numbers in total and what is the actual distribution of them wrt Mean will help us in knowing SD
Bunuel
