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The range is approximately equal to how many times the standard deviation is 6 times.
The standard normal distribution is a normal distribution with mean μ = 0 and standard deviation σ = 1. The letter Z is often used to denote random variables that follow this standard normal distribution.
The standard normal distribution is a special case of the normal distribution. The standard normal distribution has a mean of zero (μ=0) and a standard deviation of one (σ=1). A random variable following a standard normal distribution is denoted by z.
Standardizing a normal distribution results in a mean of 0 and a standard deviation of 1. This makes it easy to calculate the probability that a given value appears in a distribution, or to compare data sets with different means and standard deviations.
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