Suppose you could call it the Gaussian Distribution or the Laplace-Gauss (not to be confused with the Laplace distribution which takes an absolute difference from the mean rather than a squared error)... however the Brits had no one to name this distribution after (not the German and French names) and because it is the ubiquitous distribution they just called it... well the NORMAL!!
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A normal data set is a set of observations from a Gaussian distribution, which is also called the Normal distribution.
The standard normal distribution is a normal distribution with mean 0 and variance 1.
le standard normal distribution is a normal distribution who has mean 0 and variance 1
The normal distribution would be a standard normal distribution if it had a mean of 0 and standard deviation of 1.
When its probability distribution the standard normal distribution.