statistics, the geometric standard deviation (GSD) describes how spread out are a set of numbers whose preferred average is the geometric mean. For such...

statistics, the standard deviation is a measure of the amount of variation of the values of a variable about its mean. A low standard deviation indicates that...

1875. Mathematics portal Arithmetic-geometric mean Generalized mean Geometric mean theorem Geometric standard deviation Harmonic mean Heronian mean Heteroscedasticity...

of MAD to the standard deviation is unchanged for normally distributed data. Analogously to how the median generalizes to the geometric median (GM) in...

influencing the deposition of inhaled particles, the other being the geometric standard deviation of the particle size distribution. The MAD is the value of aerodynamic...

also known as normalized root-mean-square deviation (NRMSD), percent RMS, and relative standard deviation (RSD), is a standardized measure of dispersion...

Glycogen storage disease GSD microscopy GSD chemical file format Geometric standard deviation Graphical system design Ground sample distance Gender and sexual...

unbiased estimation of a standard deviation is the calculation from a statistical sample of an estimated value of the standard deviation (a measure of statistical...

sampling distribution or an estimate of that standard deviation. In other words, it is the standard deviation of statistic values (each value is per sample...

referred to as the "geometric CV" (GCV), due to its use of the geometric variance. Contrary to the arithmetic standard deviation, the arithmetic coefficient...

In statistics, the standard score or z-score is the number of standard deviations by which the value of a raw score (i.e., an observed value or data point)...

variable Expected value Jensen's inequality Variance Standard deviation Geometric standard deviation Multivariate random variable Joint probability distribution...

small standard deviations for convenience, and the log-normal distribution with large standard deviations. In a log-normal distribution, the geometric standard...

considered to be the average particle diameter by mass. σg: Geometric standard deviation. This value is determined mathematically by the equation: σg...

segmentation Geometric Brownian motion Geometric data analysis Geometric distribution Geometric median Geometric standard deviation Geometric stable distribution...

distributions. Thus standard deviation about the mean is lower than standard deviation about any other point, and the maximum deviation about the midrange...

given as geometric mean diameter (GMD), expressed in mm or microns (μm) and the range of variation is described by geometric standard deviation (GSD), with...

\chi _{\nu }^{2}} equals the sample variance, the squared sample standard deviation. As a general rule, when the variance of the measurement error is...

specify both the measure of deviation and the measure of central tendency. The statistical literature has not yet adopted a standard notation, as both the mean...

tails of measured values may extend well beyond plus and minus three standard deviations from the process average. Appreciable portions of one (or both) tails...

dimensions and it is a standard problem in facility location, i.e., locating a facility to minimize the cost of transportation. The geometric median is an important...

Generalized mean Inequality of arithmetic and geometric means Sample mean and covariance Standard deviation Standard error of the mean Summary statistics If...

Central tendency Mean Standard deviation Summary statistics Weight function Weighted average cost of capital Weighted geometric mean Weighted harmonic...

invariants which measure the deviation of a local product structure from a global product structure. They are one of the unifying geometric concepts in algebraic...

standard deviations of the mean, and the root mean square deviation about the mode is between the standard deviation and twice the standard deviation...

Geometrical Product Specification and Verification (GPS&V) is a set of ISO standards developed by ISO Technical Committee 213. The aim of those standards...

is the standard deviation (the square root of the variance). The rule is often called Chebyshev's theorem, about the range of standard deviations around...

+1}}}} The mean absolute deviation around the mean is a more robust estimator of statistical dispersion than the standard deviation for beta distributions...

median of some common distributions are shown below The IQR, mean, and standard deviation of a population P can be used in a simple test of whether or not P...

measure over subsets of a dataset Median absolute deviation – Statistical measure of variability The geometric median is unique unless the sample is collinear...