Figure Skating Judging Problem

This is a good open-ended problem that creates quality mathematical discussion. The median and the mean of the scores for Jenna and Kim are the same, which can require students to think of other possible solutions. A benefit of this task is that there is no one specific "correct" solution. There is also no prescribed method for solving the problem. Incorporating these types of problems leads to increased engagement and discussion in class. 

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There were five judges for a figure skating competition: The top two competitors were Jenna and Kim. They received the scores below.
 
Jenna     8           6         10        9          7
Kim          9          9          7          8         7
 
Who should win?