![]() How to Read a Z-Score TableFor the sake of example, suppose Z is a normally distributed random variable and you want to compute P(0.46 < Z < 2.09). ![]() Once you have a set of scaled or standardized data, you can use a Z-Score table or normal distribution probability calculator to compute the probability that the random variable Z is between two values. Here X is the unscaled data value, μ is the population mean, σ is the population standard deviation, and Z is the corresponding scaled value. ![]() If you have a set of normally distributed data with a different mean and standard distribution, you can transform it into standard form with the scaling equation (X-μ)/σ = Z. Z-score tables are based on a normal distribution that has a mean of 0 and a standard deviation of 1. Many variable traits in nature are distributed normally, for instance, human height, shoe size, and scores on certain kinds of intelligence tests. In statistics, the Gaussian or Normal Distribution is one of the most frequently encountered probability density functions. How to Read a Z-Score Table to Compute Probability
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