Course discussion blog for "How to Lie with Statistics: Uses and Misuses of Numbers in Argument", a 300-level Honors course at the University of New Mexico. Anyone can read this blog, but only class members can post.
Wednesday, February 6, 2013
High School Success
While trying to come up with an example of something that could not be accurately described using a Gaussian distribution, I was struck by how often normal curves are used to describe the academic performance of high school students. Especially in my high school, I feel that academic performance could have been better described using a bi-modal rather than normal distribution. While a Gaussian distribution assumes that the majority of scores will fall near the mean with less and less percentages of scores falling one or two standard deviations from the mean, I believe that it is far more common for high school test scores to fall on either the high or the low end of the spectrum. Because certain high schools require their students to have a certain amount of self initiative in order to be academically successful, I would expect the test scores to reflect this by producing a set of high test scores for the students who take the necessary self-initiative and a set of low scores reflecting students who do not take the initiative necessary to achieve academic success.
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Colleen,
ReplyDeleteI had a really similar idea about the Gaussian distribution not being applicable to a high school grade distribution. I personally dont think that grades deeply reflect academic aptitude nor self-initiative as you mention. Yet, I dont think it would fit a bi modal distribution. I wouldn't say that there is a gap in the middle of the distribution due to the two extremes you mention, but i would say that there is a skewdness that makes the distribution different from a normal distribution.