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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
Standard_deviation_line
Measure of variation in statistics
the standard deviation is a measure of the amount of variation of the values of a variable about its (arithmetic) average. A low standard deviation indicates
Standard_deviation
Procedure to estimate standard deviation from a sample
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
Unbiased estimation of standard deviation
Unbiased_estimation_of_standard_deviation
Relative measure of dispersion expressed as the ratio of standard deviation to the mean
variation (CV), also known as normalized root-mean-square deviation (NRMSD), and relative standard deviation (RSD), is a standardized measure of dispersion of
Coefficient_of_variation
Statistical modeling method
regression Response modeling methodology Segmented linear regression Standard deviation line Stepwise regression Structural break Support vector machine Truncated
Linear_regression
How many standard deviations apart from the mean an observed datum is
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)
Standard_score
Statistical property
The standard error (SE) of a statistic is the standard deviation of its sampling distribution. It is the square root of the variance of an estimator of
Standard_error
Statistical measure of variability
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
Median_absolute_deviation
Summary statistic of variability
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
Average_absolute_deviation
Topics referred to by the same term
computation such as long division Standard deviation, a statistical measure of variation Standard score, a statistics term Standard part function, used to define
Standard
Shorthand used in statistics
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
68–95–99.7_rule
Investment portfolio which occupies the "efficient" parts of the risk-return spectrum
portfolio exists with a higher expected return but with the same standard deviation of return (i.e., the risk). The efficient frontier was first formulated
Efficient_frontier
Measure of statistical dispersion
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
Interquartile_range
Statistical error measure
analysis, sometimes used in confusion with the more standard definition of mean absolute deviation. The same confusion exists more generally in technical
Mean_absolute_error
Lowest quantity observable with sufficient confidence above the background
The detection limit is estimated from the mean of the blank, the standard deviation of the blank, the slope (analytical sensitivity) of the calibration
Detection_limit
Tool to assess control of a manufacturing process
can be used instead. A centre line is drawn at the value of the mean or median of the statistic The standard deviation (e.g., sqrt(variance) of the mean)
Control_chart
Subdiscipline of 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
Directional_statistics
Railway line in New Zealand
and the deviation opened on 7 December 1947. On the old route, AB class steam locomotives were capable of hauling 175 tons; on the new deviation they could
Marton–New_Plymouth_line
Statistical optimality criterion
deviations line. Since it is known that at least one least absolute deviations line traverses at least two data points, this method will find a line by
Least_absolute_deviations
Statistics concept
residuals are two closely related and easily confused measures of the deviation of an observed value of an element of a statistical sample from its "true
Errors_and_residuals
Categorisation of people's intelligence based on IQ
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
IQ_classification
Decision rules for interpreting control-chart data
observations relative to the control chart control limits (typically at ±3 standard deviations) and centerline indicate whether the process in question should be
Western_Electric_rules
Value that appears most often in a set of data
standard deviations of the mean, and the root mean square deviation about the mode is between the standard deviation and twice the standard deviation
Mode_(statistics)
Linear regression model with a single explanatory variable
x corrected by the ratio of standard deviations of these variables. The intercept of the fitted line is such that the line passes through the center of
Simple_linear_regression
increases continually with the increase of risk as measured by the standard deviation.[better source needed] If investors can purchase a risk free asset
Capital_allocation_line
Suburban railway line in Brisbane, Australia
Brisbane flood, the Fairfield Deviation realigned the route above the flood level onto the current alignment. The line from Dutton Park to Yeerongpilly
Beenleigh_line
Railway station in New Zealand
Fay-Raven commission in 1924–25. Construction of the Milson deviation to shift the line and station northwest and away from the centre of Palmerston
Palmerston North railway station
Palmerston_North_railway_station
Large-cap American stock market index
dividends—has been approximately 9.8% (6% after inflation), with the standard deviation of the return, calculated on a monthly basis, over the same time period
S&P_500
beyond (outside for external, or inside for internal) the standard pitch circle or pitch line; also, the radial distance between the pitch diameter and
List_of_gear_nomenclature
Probability distribution of the possible sample outcomes
asymptotic distribution theory. The standard deviation of the sampling distribution of a statistic is referred to as the standard error of the statistic. For
Sampling_distribution
System that allows ships on sea to express their local time
longitudinal coordinate, with no political deviation. Nautical timekeeping dates back to the early 20th century as a standard way to keep time at sea, although
Nautical_time
Statistical test
{\displaystyle T} under the null hypothesis and obtain an estimate s of the standard deviation of T {\displaystyle T} . Determine the properties of T {\displaystyle
Z-test
Sequential analysis technique
a standard deviation of 0.5. From the Z {\displaystyle Z} column, it can be seen that X {\displaystyle X} never deviates by 3 standard deviations ( 3
CUSUM
Former railway tunnel in Swan View, Western Australia
original railway line, and the tunnel in particular, was a significant technical feat for the time; Engineers Australia awarded the deviation an Engineering
Swan_View_Tunnel
Railway track gauge (1435 mm)
using it. All high-speed rail lines use standard gauge except those in Russia, Finland, Uzbekistan, and some line sections in Spain. The distance between
Standard-gauge_railway
Eighteenth letter of the Greek alphabet
article on the arithmetic hierarchy. In statistics, σ represents the standard deviation of population or probability distribution (where mu or μ is used for
Sigma
Measure of linear correlation
between the covariance of two variables and the product of their standard deviations; thus, it is essentially a normalized measurement of the covariance
Pearson correlation coefficient
Pearson_correlation_coefficient
Conic conformal map projection
two standard parallels. In this way, deviation from unit scale can be minimized within a region of interest that lies largely between the two standard parallels
Lambert conformal conic projection
Lambert_conformal_conic_projection
Type of statistics
are the standard deviation, variance, range, interquartile range, absolute deviation, mean absolute difference and the distance standard deviation. Measures
Summary_statistics
Statistical hypothesis test
to t if s was the actual standard deviation of x, while it is the sample standard deviation as the actual standard deviation is not generally known. Therefore
Student's_t-test
Statistical property quantifying how much a collection of data is spread out
examples of measures of statistical dispersion are the variance, standard deviation, and interquartile range. For instance, when the variance of data
Statistical_dispersion
India–Bangladesh border protests
single-row border fence along the zero line in areas where settlements could otherwise be affected by the standard fencing alignment. India–Bangladesh border
2026 Meghalaya border fencing protests
2026_Meghalaya_border_fencing_protests
Kind of ratio
ratio resulting from the division of a residual by an estimate of its standard deviation, both expressed in the same units. It is a form of a Student's t-statistic
Studentized_residual
Mathematical framework for investment risk
risk and return. The variance of return (or its transformation, the standard deviation) is used as a measure of risk, because it is tractable when assets
Modern_portfolio_theory
Problem in statistical estimation
{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 ) (
German_tank_problem
Fourth standardized moment in statistics
where μ4 is the fourth central moment and σ is the standard deviation. Several letters are used in the literature to denote the kurtosis
Kurtosis
Angular deviation of received frames in faxes
scanning line, or recording line, and the perpendicular to the paper path. Skew is expressed numerically as the tangent[broken anchor] of the deviation angle
Skew_(fax)
Class of statistical tests
include the ratio of the mean absolute deviation to the standard deviation and of the range to the standard deviation. More recent tests of normality include
Normality_test
Number useful in statistics for analyzing a normal curve
of the area under a normal curve lies within approximately 1.96 standard deviations of the mean. Because of the central limit theorem, this number is
97.5th_percentile_point
Statistical measure
For instance, in order to use the median absolute deviation (MAD) to estimate the standard deviation of the normal distribution, one must multiply it by
Scale_parameter
Statistical phenomenon
coefficient between x and y, sx is the standard deviation of x, and sy is correspondingly the standard deviation of y. Horizontal bar over a variable means
Regression_toward_the_mean
Statistical measure of how far values spread from their average
defined as the expected value of the squared deviation from the mean of a random variable. The standard deviation is the square root of the variance. Technically
Variance
Middle quantile of a data set or probability distribution
{X}}} and the mean X ¯ {\displaystyle {\bar {X}}} is bounded by one standard deviation. This bound was proved by Book and Sher in 1979 for discrete samples
Median
Portfolio optimization model in finance
due to the fact that it is based on expected returns (mean) and the standard deviation (variance) of the various portfolios. It is foundational to Modern
Markowitz_model
Details of data storage in a spreadsheet application
the deviations of the operands in calculations, and worst, "catastrophic cancellation" at subtraction of values with similar magnitude. Standard floating-point
Numeric precision in Microsoft Excel
Numeric_precision_in_Microsoft_Excel
(such as sample mean) by a sample-based estimate of a population standard deviation. Unlike "normalization", where only the numerator is uncertain, Studentization
Studentization
Method in analytical chemistry
precision of the determined unknown concentration by calculating for the standard deviation, s x {\displaystyle s_{x}} . Lower s x {\displaystyle s_{x}} indicates
Standard_addition
Probability distribution
while the parameter σ 2 {\textstyle \sigma ^{2}} is the variance. The standard deviation of the distribution is the positive value σ {\displaystyle \sigma
Normal_distribution
Family of probability distributions
generalized functions do not have standard deviation s since standard t distributions do not have a standard deviation of 1. Meyer, Jack (1987). "Two-Moment
Location–scale_family
Type of statistics
work well for mixtures of two normal distributions with different standard deviations; under this model, non-robust methods like a t-test work poorly.
Robust_statistics
Measure of the joint variability
geometric mean of the total variances (i.e., the product of the standard deviations) for the two random variables. A distinction is made between (1)
Covariance
Graphical technique in statistics
sample has mean 0, standard deviation 1 then a line through 0 with slope 1 could be used. With more points, random deviations from a line will be less pronounced
Normal_probability_plot
Heritage listed railway tunnels in New South Wales, Australia
The Ten Tunnels Deviation is a heritage-listed 9.2-kilometre (5.7 mi) section of the Main Western Line between Newnes Junction and Zig Zag stations in
Ten_Tunnels_Deviation
Diagnostic plot of binary classifier ability
the standard deviations of the target and lure strength distributions. If the standard deviations are equal, the slope will be 1.0. If the standard deviation
Receiver operating characteristic
Receiver_operating_characteristic
Abrupt thermal expansion of aircraft engine parts
noting that the primary cause, the pilots' "unprofessional ... deviation from standard operating procedures," causing both engines to shut down, was exacerbated
Core_lock
Business process improvement technique
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
Six_Sigma
Type of statistics
mean, median and mode, while measures of variability include the standard deviation (or variance), the minimum and maximum values of the variables, kurtosis
Descriptive_statistics
Character encoding standard
sometimes done in this order rather than "standard" alphabetical order (collating sequence). The main deviations in ASCII order are: All uppercase come before
ASCII
Railway station in Queensland, Australia
the standard gauge New South Wales North Coast line opened to the west of the station. In 1995, as part of the construction of the Gold Coast line, the
Fairfield railway station, Brisbane
Fairfield_railway_station,_Brisbane
Comparison of two distributions
distribution (the location and scale are estimated by the mean and standard deviation, respectively), it can be useful for many other distributions. However
Q–Q_plot
Sampling from a population which can be partitioned into subpopulations
If measurements within strata have a lower standard deviation (as compared to the overall standard deviation in the population), stratification gives a
Stratified_sampling
Medical diagnostic method
an objective measurement and the gold standard in measuring strabismus, i.e. ocular misalignment, or a deviation of the eye. It is used by ophthalmologists
Prism_cover_test
Measure of covariance of components of a random vector
were held constant. The standard deviation matrix S {\displaystyle \mathbf {S} } is the extension of the standard deviation to multiple dimensions. It
Covariance_matrix
Railway line in New Zealand
The Mangaweka Deviation is a 7 km single track deviation of the North Island Main Trunk (NIMT) railway line in the central North Island of New Zealand
Mangaweka_deviation
Probability distribution
{n}}{s}},} which differs from Z in that the exact standard deviation σ is replaced by the sample standard error s, has a Student's t-distribution as defined
Student's_t-distribution
Proposed time standard
Mecca Time was a proposed time standard that uses the line of longitude that goes through Mecca, Saudi Arabia (39°49′34″ E of the Greenwich Meridian)
Mecca_Time
Risk reduction technique
standard deviation of the total return actually increases with time horizon. Thus, if we use the traditional measure of uncertainty as the standard deviation
Diversification_(finance)
Statistical indicators in signal processing
mobility parameter represents the mean frequency or the proportion of standard deviation of the power spectrum. This is defined as the square root of variance
Hjorth_parameters
Statistical test comparing two probability distributions
not, then a ML estimate based on H0 (data is normal, so using the standard deviation for scale) would give much larger KS distance, than a fit with minimum
Kolmogorov–Smirnov_test
Study of collection and analysis of data
which summarize data from a sample using indexes such as the mean or standard deviation, and inferential statistics, which draw conclusions from data that
Statistics
Unbiased statistical estimator minimizing variance
However, the sample standard deviation is not unbiased for the population standard deviation – see unbiased estimation of standard deviation. Further, for other
Minimum-variance unbiased estimator
Minimum-variance_unbiased_estimator
Statistical measure of the magnitude of a phenomenon
scores. In that case, s is the standard deviation of this distribution of difference scores (of note, the standard deviation of difference scores is dependent
Effect_size
Network utility used to test the reachability of a host
the minimum, maximum, the mean round-trip times, and standard deviation of the mean. Command-line options and terminal output vary by implementation. Options
Ping_(networking_utility)
Variance outlier test
estimate of a variance (or a standard deviation) is significantly larger than a group of variances (or standard deviations) with which the single estimate
Cochran's_C_test
Heritage railway in Wales
main Cambrian Coast (standard gauge) line at grade between Pont Croesor and Porthmadog. This is the only mixed narrow/standard-gauge level crossing in
Ffestiniog_Railway
Estimate of an interval in which future observations will fall
intervals may be used to estimate the population mean μ and population standard deviation σ of the underlying population, while prediction intervals may be
Prediction_interval
Measure of the asymmetry of random variables
{\displaystyle \nu } is the median, and σ {\displaystyle \sigma } is the standard deviation, the skewness is defined in terms of this relationship: positive/right
Skewness
Statistical considerations on how many observations to make
with a 95% confidence interval that is six units wide, and the known standard deviation of blood pressure in the population is 15, the required sample size
Sample_size_determination
Type of numerical analysis
{\displaystyle L_{2}} . An L 1 {\displaystyle L_{1}} fit has a least absolute deviation and may thus be more robust to large outliers than an L 2 {\displaystyle
Isotonic_regression
Approximation method in statistics
dependent variable as a function of the independent variable and the deviations from the fitted curve. When the observations come from an exponential
Least_squares
Statistical distance measure
the absolute value of the standard score z = ( x − μ ) / σ {\displaystyle z=(x-\mu )/\sigma } : how many standard deviations away P {\displaystyle P} is
Mahalanobis_distance
Distinction between nominal, ordinal, interval and ratio variables
appropriate measure of dispersion is percentile or quartile (the standard deviation is not allowed). Those restrictions would imply that correlations
Level_of_measurement
Type of average of a collection of numbers
of arithmetic and geometric means Sample mean and covariance Standard deviation Standard error of the mean Summary statistics If NM = a and PM = b. AM
Arithmetic_mean
Railway line in New South Wales, Australia
Ten-Tunnels Deviation which is still in heavy use as the Main West line to the central-west of NSW and ultimately the trans-Australia line between Sydney
Lithgow_Zig_Zag
dividing the covariance of the two variables by the product of their standard deviations. Independent variables, by definition, have a correlation of 0. A
Glossary of probability and statistics
Glossary_of_probability_and_statistics
Model for generating observable data in probability and statistics
Mode Dispersion Average absolute deviation Coefficient of variation Interquartile range Percentile Range Standard deviation Variance Shape Central limit theorem
Generative_model
Concept in inferential statistics
statistical significance is often expressed in multiples of the standard deviation or sigma (σ) of a normal distribution, with significance thresholds
Statistical_significance
Statistical quantity
S={\frac {\mu -\nu }{\sigma }}} where the mean (μ), median (ν) and standard deviation (σ) of the population have their usual meanings. The nonparametric
Nonparametric_skew
Railway line in central England
Street line was authorised by the North Staffordshire Railway (Willington Deviation) Act 1848 (11 & 12 Vict. c. lxvi), replacing an earlier scheme in the
Crewe–Derby_line
Interpretation of probability
new, relevant data (evidence). The Bayesian interpretation provides a standard set of procedures and formulae to perform this calculation. The term Bayesian
Bayesian_probability
travel, tourism, insurance
STANDARD DEVIATION-LINE
STANDARD DEVIATION-LINE
Boy/Male
English
Keeper of horses.
Surname or Lastname
English
English : variant of Stoddard.
Surname or Lastname
English
English : habitational name from Standard Hill in Ninfield, Sussex.
Girl/Female
Biblical
Standard, flight, temptation.
Boy/Male
Indian, Sanskrit
Giver of Dedication; Devotion
Surname or Lastname
English (mainly Yorkshire)
English (mainly Yorkshire) : from a Norman personal name, Tancard, composed of the Germanic words þank ‘thought’ + hard ‘hardy’, ‘brave’, ‘strong’.English (mainly Yorkshire) : metonymic occupational name for a maker of barrels and drinking vessels, or a nickname for a hardened drinker, from Middle English tankard ‘tub’, ‘cup’ (apparently a borrowing from Middle Dutch).
Boy/Male
Hindu, Indian, Telugu, Thai
Horse; Standard
Surname or Lastname
English (Northumbria)
English (Northumbria) : occupational name for a breeder or keeper of horses, from Old English stÅd ‘stud’ or stott ‘inferior kind of horse’ + hierde ‘herdsman’, ‘keeper’. There is a difficulty in deriving this name from Old English stÅd in that stud is not recorded in the sense ‘collection of horses bred by one person’ until the 17th century; before that it denoted a place where horses were kept for breeding, but that sense does not combine naturally with ‘herdsman’.The Stoddard family of Boston, MA, was introduced by Anthony Stoddard (1600–1686), who settled there in 1639. Solomon Stoddard (1643–1728/9) was a prominent Congregational clergyman in MA, the grandfather of Jonathan Edwards, and progenitor of many noted descendants.
Boy/Male
Muslim/Islamic
A high standard
Girl/Female
Indian, Sanskrit
Giver of Dedication; Devotion
Surname or Lastname
English (East Anglia)
English (East Anglia) : from the Middle English personal name Stanhard (Old English StÄnheard), composed of the elements stÄn ‘stone’ + heard ‘hardy’, ‘brave’, ‘strong’.
Surname or Lastname
English
English : habitational name from any of various places named Stanford, for example in Bedfordshire, Kent, and Norfolk, or Stanford Dingley in Berkshire, Stanford in the Vale in Oxfordshire, or Stanford le Hope in Essex, etc., all named from Old English stÄn ‘stone’ + ford ‘ford’.An early bearer, Thomas Stanford of England, settled in Charlestown, MA, in the mid 17th century and started a family line that includes Leland Stanford (1824–93), the railroad developer who was governor of CA, a U.S. senator, and the founding benefactor of Stanford University.
Surname or Lastname
English
English : byname for a valiant or resolute person, from a reduced pronunciation of Middle English stalward, stalworth ‘stalwart’ (an Old English compound of stǣl ‘place’ + wierðe ‘worthy’).
Biblical
standard; flight; temptation
Surname or Lastname
English
English : variant spelling of Stannard.
Girl/Female
Biblical
Standard, miracle.
Surname or Lastname
English
English : variant of Standish.
Boy/Male
Indian, Tamil
Stable; Standard
Biblical
standard; miracle
Male
Hindi/Indian
Hindi name SHANDAR means "amazing, enhanced, brilliant, shining."Â
STANDARD DEVIATION-LINE
STANDARD DEVIATION-LINE
STANDARD DEVIATION-LINE
STANDARD DEVIATION-LINE
STANDARD DEVIATION-LINE
STANDARD DEVIATION-LINE
STANDARD DEVIATION-LINE
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