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If you have a variable whose distribution is approximately Gaussian (Normal), then the z-score gives the probability of observing a value that is equal to or more extreme. This is usually in the context of testing some hypothesis about the mean of the variable.

A very low probability would suggest that your hypothesis is wrong or that your assumptions about the data are wrong or that you have just had the misfortune of an unlikely event actually happening!

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Q: When do you use a z score table?
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