The **standard normal distribution** is a normal distribution of **standardized**** values called** **z-scores**. **A z-score is measured in units of the standard deviation**. For example, if the mean of a normal distribution is 5 and the standard
deviation is 2, the value 11 is 3 standard deviations above (or to the right of) the mean. The calculation is:

The z-score is 3.

The mean for the standard normal distribution is 0 and the standard deviation is 1. The transformation produces the distribution Z∼ N (0, 1) . The value *x* comes from a normal distribution with mean µ and standard deviation σ.

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