# standard deviation

## Definitions

• WordNet 3.6
• n standard deviation the square root of the variance
• ***

## Usage

### In literature:

There is no more deviation in the moral standard than in the standard of height or bulk.
"Essays, First Series" by Ralph Waldo Emerson
No two faces are alike; and yet very few faces deviate very widely from the common standard.
"The Diary and Letters of Madame D'Arblay, Vol. 1 (of 3)" by Fanny Burney
It has long been recognised that whenever woman does show a deviation from standards she is apt to deviate far and erratically.
"A Librarian's Open Shelf" by Arthur E. Bostwick
Irregular; deviating from the ordinary standard.
"The Ancient Life History of the Earth" by Henry Alleyne Nicholson
There is no more deviation in the moral standard than in the standard of height or bulk.
"Essays" by Ralph Waldo Emerson
This is the general standard, but there are deviations from it.
"The Book of Business Etiquette" by Nella Henney
We have shown that there are constantly individual deviations, quite consistent with health, from any given standard.
"The Physical Life of Woman:" by Dr. George H Napheys
But to construe this as a deviation from the standards of discipline is to mistake the shadow for the substance.
"The Armed Forces Officer" by U. S. Department of Defense
No two faces are alike; and yet very few faces deviate very widely from the common standard.
"Critical and Historical Essays, Volume III (of 3)" by Thomas Babington Macaulay
Arbitration that merely gives what a strike will yield will here deviate greatly from the natural standard of wages.
"Essentials of Economic Theory" by John Bates Clark
Standard deviation, 2.39 inches.
"The Social Direction of Evolution" by William E. Kellicott
For each sample the mean, standard deviation, and range are shown.
"Field Study of Kansas Ant-Eating Frog" by Henry S. Fitch
Unless indicated otherwise, data are expressed as mean +- standard deviation (s.d.).
"Metabolic Adaptation to Climate and Distribution of the Raccoon Procyon Lotor and Other Procyonidae" by John N. Mugaas
***

### In news:

Taking the Human Mind Two Standard Deviations Above the Norm.
A typical Gaussian distribution is generally plotted with the number of sigma, or standard deviations, shown on the horizontal (X) axis (see figure, left).
"It's been published that if you standardize the care that you are giving and don't deviate from standardized approach, then the outcomes will be better," says Harrington.
This paper discusses how Chirascan™-plus ACD can rapidly prepare many replicates and perform multiple measurements for clear determination of standard deviations.
After engineers measure the range of process parameters, they analyze the required operational changes necessary to narrow the range and standard deviation of specific values.
In cerebral angiography shows glucose uptake listed in Table 1 may be herein may be standard deviation collected from the metabolic disorders.
Mixes in 30 to 60 seconds to standard deviation of 0.5%, CV of 5.
Control limits, also called "natural process limits," are horizontal lines drawn on a statistical process control chart, usually at a distance of ±3 standard deviations of the plotted statistic from the statistic's mean.
On IQ tests, it's about what people call one standard deviation, about 15 points on an IQ test.
***

### In science:

After the line removal, the standard deviation is reduced to 1.05 Volts.
Removing Line Interference from Gravitational Wave Interferometer Data
This is mainly due to the change of the standard deviation.
Removing Line Interference from Gravitational Wave Interferometer Data
The dependence of the Lyapunov exponent on the standard deviation σ of the random layers’ thickness for different k.
Comment on Statistics of the Lyapunov Exponent in 1D random periodic-on-Average Systems" [Phys. Rev. Lett. {\bf 81}, 5390, 1998]
The error bars are given by the standard deviations.
Characteristic length of random knotting for cylindrical self-avoiding polygons
Its standard deviation, however, decreases with N as 1/√N .
Monte Carlo: Basics
The standard deviation of the exponential density is σ = 1/α.
Monte Carlo: Basics
Since the standard deviation for the Cauchy distribution is inﬁnity, the width of the distribution is usually characterized by the Full Width at Half Maximum(FWHM) and it is 2D .
Monte Carlo: Basics
Localization length and standard deviation of Gaussian distribution: Here we set L(system size)= 50.
Random-Mass Dirac Fermions in an Imaginary Vector Potential (I): Delocalization Transition and Localization Length
More precisely we take hi = ǫih, where the ǫi are chosen from a Gaussian distribution with standard deviation unity , and are the same for all values of h.
Specific-Heat Exponent of Random-Field Systems via Ground-State Calculations
The error bar is, as usual, the standard deviation divided by pNsamp − 1.
Specific-Heat Exponent of Random-Field Systems via Ground-State Calculations
In ﬁgure 1, we present the estimates of the free energy density for ﬁve independent runs and the inset shows its standard deviation.
Quenched bond dilution in two-dimensional Potts models
The standard deviation was ≈ 380 e− in each case.
Performance of prototype BTeV silicon pixel detectors in a high energy pion beam
The other property of the distribution that we are interested in is the standard deviation.
Implementing the quantum random walk
Clearly, the standard deviation is signiﬁcantly different for the quantum and classical random walks on a line.
Implementing the quantum random walk
This will show that the probability in question is of order 1 over the standard deviation of Xn .
Random partitions with non negative rth differences
***