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The Gaussian distribution is the single most important distribution.
Theoretically, it is the distribution of a statistic based on all possible samples of a given size. In practice, it may be the distribution under repeated samples.
Almost all statistical distribution have a mean. It is the expected value of the random variable which is distributed according to that function.
A standard distribution regards 95% of all data being within 2-standard deviations of either side. Similarly, within one standard deviation either way is 68% of all data. This creates a bell curve distribution. An abnormal distribution would be erratic and not follow such a statistical structure of representation.
It is the average of all the numbers in the distribution. If you chose a random data point of the distribution, there would be a 50% chance that it is above the mean, and a 50% chance that it is below the mean.