DEFINITION of 'Normal Distribution'
A probability distribution that plots all of its values in a symmetrical fashion and most of the results are situated around the probability's mean. Values are equally likely to plot either above or below the mean. Grouping takes place at values that are close to the mean and then tails off symmetrically away from the mean.
Also known as a "Gaussian distribution" or "bell curve".
INVESTOPEDIA EXPLAINS 'Normal Distribution'
The normal distribution is the most common type of distribution, and is often found in stock market analysis. Given enough observations within a sample size, it is reasonable to make the assumption that returns follow a normally distributed pattern, but this assumption can be disproved.
As with any distribution, the distributions mean, skewness and kurtosis coefficients should be calculated in order to determine the type of distribution you may be dealing with.

Leptokurtic
A statistical distribution where the points along the Xaxis ... 
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Standard Deviation
1. A measure of the dispersion of a set of data from its mean. ... 
Skewness
Describe asymmetry from the normal distribution in a set of statistical ... 
Mean
The simple mathematical average of a set of two or more numbers. ... 
Kurtosis
A statistical measure used to describe the distribution of observed ...

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