Z Tables use at least three different conventions: Since probability tables cannot be printed for every normal distribution, as there are an infinite variety of normal distributions, it is common practice to convert a normal to a standard normal and then use the standard normal table to find probabilities.
It is used to find the probability that a statistic is observed below, above, or between values on the standard normal distribution, and by extension, any normal distribution. A Z table, is a mathematical table for the values of Φ, which are the values of the cumulative distribution function of the normal distribution.