![]() ![]() Simply find the z score you want and look for the corresponding value in the table.įor example in the table below for the z score of 1.65, the corresponding percentile is 0.95 or 95%. Percentile conversion from Z-Score is done by table look-up in the standard Normal. The way it is usually done is by referring to the comprehensive left-hand z-score table as in the below image. The following formulas show how to do so: The mean turns out to be 14. Now that we have understood what the terms mean let us try to see how we can calculate the percentile given the z score. Hence given the z score of zero, the percentile is 50% because half of the area under the curve lies behind zero. The standard normal distribution is symmetric about zero and the total area under the curve is 1. In the standard normal distribution, the value taken by the variable is called the z score and the area under the graph of the distribution before that value is called the percentile.įor example, for the z score of 1.65, the percentile is 95% because the area under the curve behind that z value is 0.95 as shown in the image below. Before we understand how to convert the z score to percentile we should understand what the terms z score and percentile mean. ![]()
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