Monday, October 11, 2010

Which "Average" is Used?

Found this comic called "The Dunning-Kruger Effect" (Spiked Math) which I shared on Google Reader. I think it can be a piece for discussion in Stats class. I like that I also learned about The Dunning-Kruger Effect (via Wikipedia).

Questions for a Stats class:
  • Which "average" is the comic most likely to be referring to (mean/median)?
  • Is the other one also possible?
  • Is it possible that half of the professors are above the median?
  • Is it possible that more than half of the professors are above the median?
  • Is it possible that less than half of the professors are above the median?
  • Is it possible that half of the professors are above the mean?
  • Is it possible that more than half of the professors are above the mean?
  • Is it possible that less than half of the professors are above the mean?
This reminded of a quote by George Carlin:
Think about this; think about how stupid the average person is, and then realize that half of 'em are stupider than that.


Questions for a Stats class:
  • Which "average" is George Carlin most likely referring to (mean/median)?
  • Is the other one also possible?
  • Is it possible that half of the people are stupider than the "average person" (median)?
  • Is it possible that more than half of the people are stupider than the "average person" (median)?
  • Is it possible that less than half of the people are stupider than the "average person" (median)?
  • Is it possible that half of the people are stupider than the "average person" (mean)?
  • Is it possible that more than half of the people are stupider than the "average person" (mean)?
  • Is it possible that less than half of the people are stupider than the "average person" (mean)?
Video is probably not appropriate in a high school setting, but the quote above can still be used.

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