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There is little in common between the two.

Any set of numbers can have a mean. A z-score the standardised version of the Gaussian (or Normal) distribution. If X is a random variable that is normally distributed with mean µ and variance σ2 then

Z = (X - µ)/σ is distributed with mean 0 and variance 1.

Z is said to have the Standard Normal distribution. The value of Z is the z score for the random variable X..

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Q: What is the difference between the mean and z-score?
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