Where \(Z\) is the value on the standard normal distribution, \(X\) is the value on the original distribution, \(\mu\) is the mean of the original distribution, and \(\sigma\) is the standard deviation of the original distribution. \): An example from the appletĪ value from any normal distribution can be transformed into its corresponding value on a standard normal distribution using the following formula: Anytime that a normal distribution is being used, a table such as this one can be consulted to perform important calculations.