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03 — Variance & Standard Deviation

Spread measured as average squared distance from the mean. Standard deviation is the square root — same units as the data. Toggle the squares on to see why it's "squared".

Mean (μ)
Variance (σ²)
Std Dev (σ)
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Why squared? Plain deviations sum to zero (positives cancel negatives). Squaring makes everything positive — and it penalizes big errors more than small ones. The √ at the end just brings us back to the original units.