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The 28 pages that link to Standard deviation, each with the reason it gives.

• VarianceRelated: Taking its square root converts variance into a directly comparable measure of spread.

• Normal distributionRelated: It sets the normal curve's scale and defines distances used in standardization.

• Square rootRelated: Taking the square root returns variance to the original measurement units.

• Francis GaltonRelated: Galton used the normal distribution and measures of spread to study variation.

• Limit of detectionRelated: Blank-response spread often sets the statistical scale for the detection threshold.

• Standard errorRelated: A standard error is a standard deviation applied to a statistic’s sampling distribution.

• StandardizationRelated: Dividing by standard deviation sets the transformed variable’s scale.

• Heisenberg uncertainty principleRelated: Uncertainty relations quantify spread using standard deviations.

• Descriptive statisticsRelated: It quantifies how widely observations vary around their arithmetic center.

• Root mean squareCompared with: Both involve squared deviations or values, but standard deviation centers data while RMS measures magnitude from zero.

• Karl PearsonRelated: Pearson’s correlation standardizes covariance by the variables’ standard deviations.

• Accuracy and precisionRelated: A smaller standard deviation indicates less spread among repeated measurements.

• Gaussian functionRelated: In the standard Gaussian form, it sets the curve's horizontal width.

• Pearson correlation coefficientRelated: Dividing covariance by both standard deviations makes correlation unitless.

• Gaussian distributionRelated: It gives the Gaussian distribution’s spread in the units of its variable.

• Margin of errorCompared with: It describes variability among observations, whereas a margin concerns uncertainty in an estimate.

• Box plotCompared with: It measures spread differently and is more sensitive to extreme values than the interquartile range.

• Interquartile rangeCompared with: It measures spread around the mean, whereas the IQR spans the middle half.

• Mean–variance analysisRelated: It presents return dispersion in units that are easier to interpret than squared returns.

• Six SigmaRelated: Six Sigma quantifies process spread relative to specification limits.

• QuartileCompared with: It summarizes spread around the mean and is more sensitive to extreme values than quartile spread.

• Statistics (numerical data)Broader topic: It expresses spread in the same units as the measurements.

• Regression toward the meanRelated: It expresses how unusual an extreme measurement is relative to the distribution.

• Correlation coefficientRelated: Pearson’s coefficient divides covariance by both variables’ standard deviations.

• KurtosisRelated: Its fourth power standardizes the fourth central moment and makes kurtosis dimensionless.

• Popoviciu's inequalityRelated: Taking square roots gives the equivalent bound of half the interval length.

• Precision (metrology)Related: It is a common numerical expression of precision for repeated measurements.

• 68–95–99.7 ruleRelated: It sets the interval widths used to state the rule’s three percentages.