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# Median/Mean relation

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Intern
Joined: 27 Aug 2006
Posts: 32
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Median/Mean relation [#permalink]  27 Sep 2006, 16:02
Hi ,

I tryin to figure out how to crack DS/PS questions where Median or mean is mentioned for a given set of #s and one is suppose to find the one or the other .

For xample ,i ran into this DS Q

M is odd integer , what is the arthmetic mean of a set with m integers ??
1. integers in set are consecutive # ,multiple of 3
2. Median of set of integers is 33 -

I suppose median here indicates middle # , ie the set will hv exactly the same # of elements after this point .

But how can one reach to sure conclusion the set indeed has Odd # of elements (as in this case apparently) ??

R there any rules around concluding the # of elements in the set based on type of elements(even/odd) and median given ??
help is appreciated

thanks
Manager
Joined: 28 Aug 2006
Posts: 245
Location: Albuquerque, NM
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If there are odd number of integers in the set, median has to be middle number

if even then median is average of two middle numbers

I don't understand the confusion

The answer is C for the above question

median = mean if the numbers form an arithmetic progression which they do if they are consecutive multiples of 3
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