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
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