If conversely what you have is a z-score, you can use our This can also be achieved by using Excel. ![]() ![]() How do we find such \(z^*\)? The idea is to a percentile to z score conversion table, which is essentially using a standard normal distribution table. Relationship between percentiles and z-scoresįor a given percentile \(p\), which is a number between 0-1, finding the corresponding z-score is done by finding the value of \(z^*\) that solves the following: ![]() Then the comparison is made by comparing the corresponding z-scores This comparison is done by normalizing the scores that come from different normal distributions and normalizing them. Z-scores have numerous applications, the most practical of them being that of being able to compare scores that come from different normal distributions. How Do You Compute a z-score from a Percentile?Īre normalized scores that serve the purpose of taking scores of a generic normal distribution into equivalent scores in the standard normal distribution (equivalent in the sense of their location relative to their population).
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