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Same Mean and Median (Posted on 2010-08-05) Difficulty: 3 of 5
Find the number of non-decreasing sequences of 75 integers from 1 to 75 which have same mean as the median.

No Solution Yet Submitted by Praneeth    
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Question ? | Comment 1 of 6

If I understand the problem correctly, there are many such sequences, for example:
{1,1,1,1,1,.................,1,1,1,1}, MEAN=1, MEDIAN=1;
{2,2,2,2,2,.................,2,2,2,2}, MEAN=2, MEDIAN=2;
....
{75,75,75,.................,75,75,75}, MEAN=75, MEDIAN=75;
and
{1 (37x),37,37,39,75,75,.....,75}, MEAN=37, MEDIAN=37;
{1 (37x),37,38,38,75,75,.....,75}, MEAN=37, MEDIAN=37;
{1 (37x),37,38,39,74,75,.....,75}, MEAN=37, MEDIAN=37;
etc.,

Did I interpret the problem incorrectly?


  Posted by Dej Mar on 2010-08-06 09:14:03
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