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standard deviation


The top 5% are two standard deviations above the mean.
  A measure in statistics of how far a set of data is from its average

(calculated as the square root of the variance — the variance being the average of the squares of deviations about the mean of a set of data)
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standard deviation standard deviations
Notes:
In a normal curve, 68% of the numbers are within 1 standard deviation and 95% are within 2 standard deviations.

A normal curve (also called a bell curve) occurs frequently. For example, people’s height, weight, and IQs all plot to a normal curve.  Many random events such as flipping a coin or measurement errors also plot to a normal curve.

Beyond normal curves, in any curve, at least 75% of data are within 2 standard deviations.
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Images: Bell Curve Std Deviation (Bell Curve Standard Deviation)
Samples:
  • The top 5% are two standard deviations above the mean.
  • The standard deviation of each section of the SAT test is very roughly 95.
  • There is not a single standard deviation for all IQ tests, but 15 may be most common.
  • But the very next day, his first Monday up here as a visitor, brought another standard deviation from the routine—and that was one of the lectures Dr. Krokowski gave in the dining hall every two weeks before the entire German-speaking, nonmoribund, adult population of the Berg-hot.
    Thomas Mann  --  The Magic Mountain
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Associated words [difficulty]:   standard deviation , bell curve [9] , normal distribution [9]
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Most commonly used in these subjects:   Business, Science, Engineering, Human Behavior
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