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normal distribution
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   Also found in: Medical, Financial, Acronyms, Encyclopedia, Wikipedia 0.01 sec.

normal distribution

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A curve used in statistics to represent the distribution of data which is symmetrical about its mean value.

In statistics, a distribution widely used to model variation in a set of data which is symmetrical about its mean value. It can be expressed in the form:

where f(x) is the relative frequency of data value x, ςis the standard deviation, μ is the mean, exp is the exponential function, and π is a mathematical constant. The curve resulting when f(x) is plotted against x is called the normal distribution curve.

An example of normal distribution can be found in the intelligence quotients (IQs) found in human populations, distributed around a mean value of 100. The distribution is also known as the Gaussian distribution after German mathematician Karl Gauss.



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Here [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is the sum of [absolute value of [zeta]] statistically independent random variables that can be approximated by the Gaussian random variable based on the CLT, mean, m0 and variance, [[sigma].
i]) is capturing some statistic of the elite samples: for example, if we have a Gaussian random variable, h() would be defining the mean and variance of the distribution.
 
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