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Is the median of set S even?
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07 Feb 2012, 12:59
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65% (01:17) correct 35% (01:21) wrong based on 251 sessions
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Is the median of set S even? (1) Set S is composed of consecutive odd integers (2) The mean of set S is even
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Re: club 13  q1
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07 Feb 2012, 13:04



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Re: Is the median of set S even?
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07 Feb 2012, 13:44
can you please give me an example of a set in which mean is even and median is odd for statement 2?



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Re: Is the median of set S even?
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07 Feb 2012, 13:46



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Re: Is the median of set S even?
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11 Feb 2014, 04:47
why isn't the correct answer A?
from statement 1 we know that S is a set containing consecutive odd integers, hence, it is an evenly spaced set. For all evenly spaced sets > Mean = Median . Also, for all evenly spaced sets, Mean = Sum of first and last Number/ 2. Since we know that all numbers in the set are odd, we know that the first and the last number are odd, too, therefore odd + odd = even. Even/2=even > the mean, and therefore the median of the set are even. Statement 1 is sufficient. If i did make a mistake, can someone please explain?
Cheers,



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Re: Is the median of set S even?
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11 Feb 2014, 05:00
damamikus wrote: why isn't the correct answer A?
from statement 1 we know that S is a set containing consecutive odd integers, hence, it is an evenly spaced set. For all evenly spaced sets > Mean = Median . Also, for all evenly spaced sets, Mean = Sum of first and last Number/ 2. Since we know that all numbers in the set are odd, we know that the first and the last number are odd, too, therefore odd + odd = even. Even/2=even > the mean, and therefore the median of the set are even. Statement 1 is sufficient. If i did make a mistake, can someone please explain?
Cheers, Why wouldn't you check your theories with simple examples? {1, 3} > median = 2 = even. {1, 3, 5} > median = 3 = odd. Mistake in your reasoning is that even/2 = integer, not necessarily even. For, example, 4/2 = 2 = even, but 6/2 = 3 = odd. Does this make sense?
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Re: Is the median of set S even?
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11 Feb 2014, 05:08
thanks Bunuel!! you're right, i assumed even/2=even when in fact, as you pointed out, even/2=integer. thanks for the advice, i'll try to doublecheck my answers next time with some simple examples



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Re: Is the median of set S even?
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22 Feb 2018, 06:36
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Re: Is the median of set S even? &nbs
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