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A z‑score tells you how many standard deviations an observation is from the mean.
What it does
- Centers the data at 0
- Scales it so the standard deviation is 1
- Keeps the shape of the distribution
- Makes different datasets comparable
Example
Population mean , standard deviation
.
What is the z‑score of ?
Interpretation:
The value is 1.5 standard deviations above the mean.
🎨 Intuition
Z‑scores are like saying, “How unusual is this photo compared to the rest?”