# standard deviation

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Related to standard deviation: variance

## deviation

[de″ve-a´shun]
1. a turning away from the regular standard or course.
2. in ophthalmology, strabismus.
3. in statistics, the difference between a sample value and the mean.
axis deviation an axis shift in the frontal plane, as seen on an electrocardiogram. There are three types: Left, from −30° to −90°; Right, from +90° to +180°; and Undetermined, which may be either extreme left or extreme right, from −90° to +180°.
conjugate deviation dysfunction of the ocular muscles causing the two eyes to diverge to the same side when at rest.
sexual deviation sexual behavior or fantasy outside that which is morally, biologically, or legally sanctioned, often specifically one of the paraphilias.
standard deviation (SD) the dispersion of a random variable; a measure of the amount by which each value deviates from the mean. It is equal to the square root of the variance. For data that have a normal distribution, about 68 per cent of the data points fall within (plus or minus) one standard deviation from the mean and about 95 per cent fall within (plus or minus) two standard deviations. Symbol σ.
ulnar deviation a hand deformity, seen in chronic rheumatoid arthritis and lupus erythematosus, in which swelling of the metacarpophalangeal joints causes the fingers to become displaced to the ulnar side. Called also ulnar drift. See illustration.
Ulnar deviation (ulnar drift) of the metacarpophalangeal joint, a characteristic sign of rheumatoid arthritis. From Pedretti and Early, 2001.

## stan·dard de·vi·a·tion (SD, σ),

1. statistical index of the degree of deviation from central tendency, namely, of the variability within a distribution; the square root of the average of the squared deviations from the mean.
2. a measure of dispersion or variation used to describe a characteristic of a frequency distribution.

## standard deviation (SD)

(in statistics) a mathematic statement of the dispersion of a set of values or scores from the mean.

## standard deviation

A statistical term that indicates the relative variability of a value around its mean; the square root of variance.

## standard deviation

Square root of the variance Statistics The most widely used measure of the dispersion of a set of values about a mean, which is equal to the positive square root of the variance, where a graphic representation of the data points is described by a curve with Gaussian distribution–GD–ie, bell-shaped. See Gaussian curve.

## stan·dard de·vi·a·tion

(σ, SD) (stan'dărd dē'vē-ā'shŭn)
1. Statistical index of the degree of deviation from central tendency, namely, of the variability within a distribution; the square root of the average of the squared deviations from the mean.
2. A measure of dispersion or variation used to describe a characteristic of a frequency distribution.

## standard deviation

A measure of dispersion widely used in statistics. Standard deviation is the square root of the arithmetic average of the squares of the deviations of the members of a sample from the mean.

## standard deviation (S)

a measure of the variation in a sample, calculated as the square root of the VARIANCE. Mean values are often followed by the standard deviation.see STANDARD ERROR.

## Standard deviation

A measure of the distribution of scores around the average (mean). In a normal distribution, two standard deviations above and below the mean includes about 95% of all samples.

## standard deviation

; sd analyisis of normally distributed data about the mean, where mean ± 1 sd reflects 67% of sample data; mean ± 2 sd reflects 95% of sample data; mean ± 3 sd reflects 99% of sample data

## stan·dard de·vi·a·tion

(SD) (stan'dărd dē'vē-ā'shŭn)
1. Statistical index of degree of deviation from central tendency, namely, of variability within a distribution; square root of average of squared deviations from mean.
2. Measure of dispersion or variation used to describe a characteristic of a frequency distribution.

## deviation

variation from the regular standard or course.
1. In ophthalmology, a tendency for the visual axes of the eye to fall out of alignment owing to muscular imbalance.
2. in statistics the difference between the predicted value of a variable and the actual value.

standard deviation
a measure of statistical dispersion. See standard deviation.

## standard

something established as a measure or model to which other similar things should conform.

bacteriological standard of meat
the standard bacterial count of meat beyond which local legislation forbids the sale or use of meat. The international standard is for <107 of="" meat="" and="" that="">Salmonella spp. should not be present in more than one of five 25 g samples, all held at 95°F (35°C) or 68°F (20°C) for chilled meat.
standard bicarbonate
in blood gas analysis this is the plasma level of bicarbonate, under specified conditions, which eliminates the influence of respiration on the values obtained.
standard deviation
a measure of the dispersal of a random variable; the square root of the average squared deviation from the mean. For data that have a normal distribution about 68% of the data points fall within one standard deviation from the mean and 95% fall within two standard deviations. Symbol is σ.
standard error
the standard deviation of an estimate.
standard error of mean
the sampling variability of the mean.
standard international (SI) units
see Table 3.
standard population
a population not yet divided into classes; the population against which each of its constituent classes can be compared.
standard Salmonella pullorum strains
strains that contain only small amounts of 122 antigen.
References in periodicals archive ?
The st_dev is the approximate standard deviation calculated in the second step.
If black students in the sample continue to lose ground through 9th grade at the rate experienced in the first two years of school, they will lag behind white students on average by a full standard deviation in raw math and reading scores and by more than two-thirds of a standard deviation in math even after controlling for observable characteristics (the gap would be substantially smaller in reading).
Clearly, as the bulk of the measurements are clustered more closely around the target, the standard deviation becomes smaller and the bell curve will become narrower.
Confidence intervals for the precision profile, limits of quantification, and limit of detection are based on the 95% confidence interval limits for pooled standard deviation.
The standard deviation of quarterly growth in real GDP, not only for the United States but also for each foreign G-7 economy except Japan, generally fell over the period (chart 7).
The following discussion will concern only the total standard deviation and reproducibility of a sawing process, because the accuracy of a saw depends only on the correct position of the saw-blades in a set-up.
On the other hand, the standard deviation values graphed on page 65 (and also reported in numerical form on the chart) do, with one exception, become smaller and smaller over time (the exception is 1970).
On average, South Asians in the study had waist-to-hip ratios 1 standard deviation higher than those of the whites.
Then one presses IBM PC function key F5, and the standard deviation, the mean, and the mean 2 SD are automatically calculated in the spreadsheet.
GOP economic consulting firm, Hamilton Place Strategies, conducted the poll and found that Obama's standard deviation for his first term was 6.
As a metric for the evaluation of the measurement precision of a spectrophotometer a pooled standard deviation is used.
The interval between the upper and lower bands and the middle band is determined by volatility, typically the standard deviation of the same data that were used for the average.

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