How does Z-Score help in detecting outliers?

Updated May 5, 2026

Short answer

It measures how many standard deviations a point is from the mean[cite: 1].

Deep explanation

Points with a Z-score greater than 3 (or less than -3) are typically considered outliers in a normal distribution[cite: 1].

Real-world example

Finding students with exceptionally high or low test scores[cite: 1].

Common mistakes

  • Applying Z-score to non-Gaussian (skewed) data[cite: 1].

Follow-up questions

  • What is Modified Z-score?

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