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Answer :
In the context of the GRE where the mean is 580 and the standard deviation is 133, roughly 0.3% of test takers score above 979 according to the 68-95-99.7 rule.
The subject of this student's question involves the concepts of mean, standard deviation, and the 68-95-99.7 rule (also known as the empirical rule), which are all important in statistics and probability theory.
This rule says that for a normal distribution, 68% of data falls within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations.
In this scenario, a score of 979 is three standard deviations above the mean (580 + 3*133 = 979).
So, according to the 68-95-99.7 rule, 99.7% of test takers score below this (within three standard deviations of the mean), which means roughly 0.3% of the test takers score above 979.
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