normal distribution


normal distribution

noun

Definition of NORMAL DISTRIBUTION

:  a probability density function that approximates the distribution of many random variables (as the proportion of outcomes of a particular kind in a large number of independent repetitions of an experiment in which the probabilities remain constant from trial to trial) and that equals the transcendental number e raised to an exponent and multiplied by a coefficient where the coefficient is a fraction whose numerator is 1 and whose denominator is the standard deviation mulitplied by the square root of twice the transcendental number π and the exponent is minus one half of the square of a fraction whose numerator is the difference between x and the mean and whose denominator is the standard deviation

First Known Use of NORMAL DISTRIBUTION

1897

normal distribution

noun    (Concise Encyclopedia)

In statistics, a frequency distribution in the shape of the classic bell curve. It accurately represents most variations in such attributes as height and weight. Any random variable with a normal distribution has a mean (see mean, median, and mode) and a standard deviation that indicates how much the data as a whole deviate from the mean. The standard deviation is smaller for data clustered closely around the mean value and larger for more dispersed data sets.

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