query: Does the arithmetic mean minimize the sum of absolute values of deviations?
positive_passages.docid: 7740
positive_passages.text: The median minimizes the sum of absolute deviations (the $ {\ell}_{1} $ norm)
negative_passages.docid: 137815
negative_passages.text: Additive but not $\sigma$-additive function
negative_passages.docid: 9192
negative_passages.text: Intuitive explanation for dividing by $n-1$ when calculating standard deviation?
negative_passages.docid: 39958
negative_passages.text: Does the variance of a sum equal the sum of the variances?
negative_passages.docid: 85351
negative_passages.text: Standard Deviation. Why do we take the square root of the entire equation?
negative_passages.docid: 86866
negative_passages.text: Is there a number whose absolute value is negative?
negative_passages.docid: 4018
negative_passages.text: How to solve least absolute deviation by simplex method?
negative_passages.docid: 131168
negative_passages.text: Minimizing $\cot^2 A +\cot^2 B + \cot^2 C$ for $A+B+C=\pi$
negative_passages.docid: 89910
negative_passages.text: Is it possible to find the combined standard deviation?
negative_passages.docid: 51671
negative_passages.text: lower bounding logarithm of sums
negative_passages.docid: 18064
negative_passages.text: Sum of reciprocals of numbers with certain terms omitted
negative_passages.docid: 17290
negative_passages.text: Solutions for dependency problem in interval arithmetic (remedy for nonexistence of additive inverses)
negative_passages.docid: 64720
negative_passages.text: Expected value of sums
negative_passages.docid: 100335
negative_passages.text: Moving average process notation: negative or positive $\theta$s?
negative_passages.docid: 85463
negative_passages.text: Minimum value selection
negative_passages.docid: 80638
negative_passages.text: find the minimum value given constraints
negative_passages.docid: 113125
negative_passages.text: Arithmetic-geometric Mean