If the mean of set is 20, what is the median of set ? 1.In : DS Archive
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# If the mean of set is 20, what is the median of set ? 1.In

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01 Oct 2009, 07:18
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If the mean of set is 20, what is the median of set ?
1.In set there are as many numbers larger than 20 as there are numbers smaller than 20.
2.All numbers in set are even integers

To date i thought when a set of numbers is equally spaced then MEAN = MEDIAN.So knowing one you can find the other. when i saw statement two i picked it.

It gave an example it does not have to be .14,18,24,24 . The median is 21; 18,18,22,22. The median is 20.

My question : Is their a generalised condition we can add such that number of elements is odd and set of numbers is equally spaced then MEAN = MEDIAN. Please advise.
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01 Oct 2009, 23:04
1)insuff.
There are 2 poss.

a)20 is a unit of this set. Then 20 becomes automatically the median (the number of units in the set is odd )
b)20 is not a unit of this set. Then we can not know the median. Because it means there are even number of element in the set and the median is the mean of the two element in the center. They may be 19 and 21 or 18 and 35.

2)insuff. No other info.

Together.
insuff.
We only know that 20 is not an element of this set. So the number of elements in this set is even. Thus it is same like the possibility b) in 1.
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04 Oct 2009, 02:14
Thanks i get my mistake.

Mean = Median when all the numbers in the set are evenly distibuted. Sorry got confused

Stmt 2: says they are even numbers. No where they say they are evenly distributed.
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