In this tutorial, you will learn what a z-score is.
Furthermore, with a given mean and standard deviation, you will be able to calculate the z-score of any data value, and you will also be able to find the data value that will have the given z-score
Given any data set, the z-score for any given data point within the data set is the number of standard deviations that data point is above the mean.
If we have the mean and standard deviation of a data set, we can calculate the z-score of any given data point with the following formula
We might also want to go in the opposite direction, we might want to know what data value would produce a given z-score. To do this, we merely have to solve the above equation for x
and plug in and