![]() The same is the case with standard normal distribution. We know that all normal distributions are unimodal and they are distributed symmetrically in the form of a bell-shaped curve. Difference between Standard Normal and Normal Distributions A z-score of the value tells us the number of standard deviations the value lies away from the mean. We can standardize any normal distribution by transforming its values into z-scores. However, in the standard normal distribution, we use Z. ![]() We generally use X to represent our variable of interest, for instance, height = X, and age = X, etc. The standard normal distribution is also referred to as z-distribution. 99.9% fall with 3 standard deviations of the mean.95% of the observations fall within 2 standard deviations of the mean.68% of the observations fall within 1 standard deviation of the mean.It is centered at zero and it gives the extent to which the given measurement deviates from the mean. Let's go What is a Standard Normal Distribution?Ī normal distribution with a mean of zero and a standard deviation of one is known as a standard normal distribution.
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