Linked from
The 28 pages that link to Standard deviation, each with the reason it gives.
Square rootRelated: Taking the square root returns variance to the original measurement units.
StandardizationRelated: Dividing by standard deviation sets the transformed variable’s scale.
Gaussian functionRelated: In the standard Gaussian form, it sets the curve's horizontal width.
Six SigmaRelated: Six Sigma quantifies process spread relative to specification limits.
68–95–99.7 ruleRelated: It sets the interval widths used to state the rule’s three percentages.