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Statistics · EDA

Standardized Scores (z-scores) — Position Within a Distribution

z = (x − μ) / σ. A z-score measures how many standard deviations x is above (+) or below (−) the mean.

StatisticsCommon Core SP-1.EEDAVerified correct ✓

Worked examples

A data set has mean μ = 76 and standard deviation σ = 12. Find the z-score for an observation of x = 112.
Answer: 3
A data set has mean μ = 51 and standard deviation σ = 8. Find the z-score for an observation of x = 55.0.
Answer: 0.5

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