Ice Skating ScoringDate: 01/27/2001 at 00:54:25 From: Johnny Subject: Ice Skating and median Why do the U.S. Figure Skating Championships use only five scores out of the seven given by judges? The lowest and the highest of the seven scores are dropped, and skaters are ranked based on the median of the remaining five scores. Why use the median score and not the mean to calculate the winner? Date: 01/27/2001 at 07:08:20 From: Doctor Mitteldorf Subject: Re: Ice Skating and median Johnny - The median reflects the judges' "middle ground" more faithfully than the mean. No one judge can influence the median excessively, since one judge's score counts only to the extent that it is either higher or lower than that middle. It doesn't matter how much higher or lower. In fact, it doesn't matter that the highest and lowest scores are dropped before the median is computed - they would have exactly balanced each other out, since the median is simply the middle score, the score with an equal number of votes on either side of it. - Doctor Mitteldorf, The Math Forum http://mathforum.org/dr.math/ |
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