LexBrew
Usage Entry 1462 / 1605 60-second read

Variance vs. Standard deviation

Average squared deviation from the mean versus the square root of variance.

The comparisoni

✗ Wrong

Standard deviation is the square of variance.

✓ Correct

Standard deviation is the SQUARE ROOT of variance. VARIANCE is the average squared deviation; SD is its square root, which is back in original units.

The ruleii

SD = √variance.

VARIANCE = average of (data - mean)². STANDARD DEVIATION = √variance — bringing the measure back into the original units. SD is more interpretable than variance for most purposes.

Memory aidiii

Remember it like this

SD is interpretable; variance is the math.

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