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

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

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

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

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...

The standard error (SE) of a statistic (usually an estimate of a parameter) is the standard deviation of its sampling distribution or an estimate of that...

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

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...

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

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

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...

median and mode), while the parameter σ {\displaystyle \sigma } is its standard deviation. The variance of the distribution is σ 2 {\displaystyle \sigma ^{2}}...

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...

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

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...

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...

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...

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...

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...

dimension. Deviation (statistics), the difference between the value of an observation and the mean of the population in mathematics and statistics Standard deviation...

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

68%, 95%, and 99.7% of the values lie within one, two, and three standard deviations of the mean, respectively. In mathematical notation, these facts...

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...

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...

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

dividends—has been approximately 9.8% (6% after inflation), with the standard deviation of the return over the same time period being 20.81%. While the index...

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

approximation of standard deviation, the [clarification needed] does not make the assumption of homogeneity of process over time that the standard deviation makes...

In statistics, explained variation measures the proportion to which a mathematical model accounts for the variation (dispersion) of a given data set. Often...

means under stringent conditions regarding normality and a known standard deviation. A t-test is appropriate for comparing means under relaxed conditions...