As it can determine the likelihood of some event happening.Īny normal distribution with any value of mean (µ) and sigma can be transformed into the standard normal distribution, where the mean of zero and a standard deviation of 1. Hence, use Z Scores to transform a given standard distribution into something that is easy to calculate probabilities on. Each number on the horizontal line corresponds to z-score. The standard normal distribution is a type of special normal distribution with a mean (µ) of 0 and a standard deviation of 1.Ī standard normal distribution always mean zero and has intervals that increase by 1. What is a Standard Normal Distribution?Ī Normal Standard Distribution curve is a symmetric distribution where the area under the normal curve is 1 or 100%. Similarly, if Z value is negative, it means the value (x) is below the mean. If the Z value is positive, it indicates that the value or score (x) is above the mean. Technically, Z-score tells a value (x) is how many standard deviations below or above the population mean (µ). In other words, Z-score measures the dispersion of data. Z scores (Z value) is the number of standard deviations a score or a value (x) away from the mean.
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