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...

preferred to the more usual standard deviation. Note that unlike the usual arithmetic standard deviation, the geometric standard deviation is a multiplicative...

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

Look up standard deviation in Wiktionary, the free dictionary. Standard deviation is a widely used measure of variability or diversity used in statistics...

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)...

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...

a set of deviations, such as the standard deviation and the mean absolute deviation, measures of dispersion, and the mean signed deviation, a measure...

while the parameter σ 2 {\textstyle \sigma ^{2}} is the variance. The standard deviation of the distribution is ⁠ σ {\displaystyle \sigma } ⁠ (sigma). A random...

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...

random variable. Its expected value and standard deviation are related to the expected values and standard deviations of the observations, as follows. For...

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...

26% = 0.53. As you can see, standard deviation is many times the magnitude of the expected loss. The standard deviation for pai gow poker is the lowest...

known as a pooled standard deviation (also known as combined standard deviation, composite standard deviation, or overall standard deviation). In statistics...

{\frac {i\sigma ^{2}}{2\pi }}\right)} where μ and σ are the mean and standard deviation of the unwrapped distribution, respectively and ϑ ( θ , τ ) {\displaystyle...

a data set than the standard deviation. In the standard deviation, the distances from the mean are squared, so large deviations are weighted more heavily...

population standard deviation are known. They both need to be estimated from a sample, whose size can be designated n. The population standard deviation is estimated...

used in its specification, specifically: distance variance, distance standard deviation, and distance covariance. These quantities take the same roles as...

distribution with mean μ and standard deviation σ, its Z-score may be calculated from X by subtracting μ and dividing by the standard deviation: Z = X − μ σ {\displaystyle...

performance one standard deviation above the mean, while a score of 85 means performance one standard deviation below the mean, and so on. This "deviation IQ" method...

{1}{2}}+10\right)}{\Gamma \left({\frac {1}{2}}\right)}}} = 654,729,075 The standard deviation of any arithmetic progression is σ = | d | ( n − 1 ) ( n + 1 ) 12...

with conventional or non-robust measures of scale, such as sample standard deviation, which are greatly influenced by outliers. The most common such robust...

The root mean square deviation (RMSD) or root mean square error (RMSE) is either one of two closely related and frequently used measures of the differences...

divided by the standard deviation. To summarize: choice of reference period determines vertical placement of a trace on a graph, and deviation determines...

reference to the fraction of a normal curve that lies within six standard deviations of the mean, used to represent a defect rate. Motorola pioneered...

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...

occupancy capacity of 15,000. The club owns and operates the record label Standard Deviation and has been a queer safe space. No photos of the club are allowed...

mean) and standard deviation of the variable's natural logarithm, ln ⁡ X {\displaystyle \ln X} , not the expectation and standard deviation of X {\displaystyle...

variable, μ (mu) is the mean of the distribution, and σ (sigma) is its standard deviation: Pr ( μ − 1 σ ≤ X ≤ μ + 1 σ ) ≈ 68.27 % Pr ( μ − 2 σ ≤ X ≤ μ + 2 σ...

{m\ln(2)}{k-1}}} and the following approximations for the mean and standard deviation: N ≈ μ ± σ = 89 ± 50 , μ = ( m − 1 ) k − 1 k − 2 , σ = ( k − 1 ) (...

statistics, the standard deviation line (or SD line) marks points on a scatter plot that are an equal number of standard deviations away from the average...