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Mean = median (Posted on 2014-02-20) Difficulty: 2 of 5
Add a fifth number to the set {3,7,9,10} so that the mean is equal to the median of the set.

Show whether or not it is possible to create a set of numbers where the same problem yields more solutions than the above.

No Solution Yet Submitted by Jer    
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re: solution Comment 4 of 4 |
(In reply to solution by Charlie)

Nice extension.  You seem to have restricted to positive integers. 

Note the high and low "possible add-ons" are guaranteed to be integers.

Ady pretty much shows how to guarantee the middle number will be an integer:  The original numbers sum to  multiple of 4.  Also you'd need two above and two below the mean.

  Posted by Jer on 2014-02-21 01:03:35

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