The z-distribution, sometimes known as the standard normal distribution, is a particular normal distribution with a mean of 0 and a standard deviation of 1. By transforming the values of any normal distribution into z-scores, any normal distribution can be standardised. The Z-score indicates how many standard deviations each number deviates from the mean.
A normal distribution with a mean of 0 and a standard deviation of 1 is known as the standard normal distribution (z distribution). The formula z = (x-mean) / standard deviation can be used to transform any point (x) from a normal distribution to the standard normal distribution (z).
The mean and variance are the two parameters that define a normal distribution. A standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1.
The mean, median, and mode are all equal in normal distributions, which are symmetric, unimodal, and asymptotic. Around its centre, a normal distribution is exactly symmetrical.
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