The explanation below is just to feed the curiosity and for research purposes. While knowing the derivations below is certainly helpful, they are not required to be learned or known by you. As long as you know how to read a simple Z-Table, you’re good to go.
Nor is one required to derive a Z-Table from scratch every time before one uses it. One is not required to know how to derive a Z-Table to perform any elementary probability or statistics or even beyond it. If you are an inquisitive mind and have been repeatedly dealing with normal distribution and z score statistics, it is but natural that at some point of time you must have asked yourself how the values in a Z Score Table are derived and what the math behind them is.ĭisclaimer: Before we dive in, please keep in mind that deriving a Z-Table from scratch is very math heavy and intensive. We always use pre-made Z Tables but have you ever wondered where the values in a Z Table come from and how a Z Score Table is created from scratch?
