![]() Then, given that probability \(p\), we say that the z-score \(z\) is associated to the \(100\cdot p \%\) percentile. Mathematically, for a given z-score \(z\), we compute ![]() And that's exactly how we define the percentile associated to a z-score: it is the area (in percentage terms) that is to the left of that z-score. But by converting the tests scores into z-scores (by normalizing them), we can put them in the same scale, if you will.Īlso, a z-score represents a specific location in the distribution, so that there is a certain area that is to the left of that z-score. The standard normal distribution is a probability distribution. This is, if you have two different students who tool different tests, in principle those scores have different scales and cannot be compared. Using Z-tables to Calculate Probabilities and Percentiles. Is a normalized score that will allow you to compare values relative to their population. How Do You Compute a Percentile from a Z-Score? ![]()
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