Question

What is the difference between a descriptive z-score and an inferential z-score?

Answer 1

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As descriptive statistics, z-scores describe exactly where each individual is located.

This means each individual point has its own Z-score

As inferential statistics, z-scores determine whether a specific sample is representative of its population, or is extreme and unrepresentative.

This means Z score are used to infer whether a sample belongs to a certain population or not