From: tr.17687@z991.linuxsc.com   
      
   ram@zedat.fu-berlin.de (Stefan Ram) writes:   
      
   [edited for brevity]   
      
   > ram@zedat.fu-berlin.de (Stefan Ram) writes:   
   >   
   >> I waited a few days before answering to allow   
   >> sufficient time to think about the problem.   
   >   
   > I sometimes look at records of events like when someone got up   
   > or went to bed on different days and wonder about the "average   
   > time" he gets up or goes to bed.  Some years ago, I asked in   
   > another newsgroup how to average times, and from answers there   
   > I [found a long and somewhat forbidding formula]   
      
   > At that time, I did not understand what was going on!  In   
   > hindsight, today, I see that this seems to calculate the   
   > average via the average of the position of the two points on a   
   > 24-hour clock in two dimensions.   
   >   
   > [..other references to the same general idea..]   
      
   Several people, including myself, thought of this idea, suitably   
   generalized to N points rather than two.  Two problems:   
      
   One, there is no way of knowing this idea is what you were   
   looking for.  Basically your puzzle was "Can you guess what I'm   
   thinking?", without giving any useful clues to solve the puzzle.   
   At the very least, it is misleading to call it a "puzzle".   
      
   Two, this approach gives unexpected (or counter-intuitive)   
   results for many ordinary cases where the times have at least   
   some clustering (for example, all times within a 4-hour range, or   
   potentially even a 15-hour range).  In cases like that, which are   
   likely to be common for most real-world data, using geometric   
   averaging gives an inferior result.   
      
   Besides those drawbacks, it looks like you didn't even bother to   
   read the responses.  As far as the outside world can tell, your   
   purpose in posting was just an exercise in self-congratulations.   
      
   I know you can do better.  And I hope that in the future you will   
   make an effort to do so.   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)