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Summary statistic of variability
related to the given data set. AAD includes the mean absolute deviation and the median absolute deviation (both abbreviated as MAD). Several measures of
Average_absolute_deviation
Topics referred to by the same term
Mean deviation may refer to: Mean signed deviation, a measure of central tendency Mean absolute deviation, a measure of statistical dispersion Mean squared
Mean_deviation
Measure of variation in statistics
variance being the average of the squared deviations from the mean). A useful property of the standard deviation is that, unlike the variance, it is expressed
Standard_deviation
Statistical measure
The root mean square deviation (RMSD) or root mean square error (RMSE) is a frequently used measure of the distances between actual observed values and
Root_mean_square_deviation
Difference between a variable's observed value and a reference value
deviation serves as a measure to quantify the disparity between an observed value of a variable and another designated value, frequently the mean of
Deviation_(statistics)
Measure of the error of an estimator
In statistics, the mean squared error (MSE) or mean squared deviation (MSD) of an estimator (of a procedure for estimating an unobserved quantity) measures
Mean_squared_error
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
Coefficient_of_variation
In statistics, the mean signed difference (MSD), also known as mean signed deviation, mean signed error, or mean bias error is a sample statistic that
Mean_signed_deviation
Calculations in probability theory
Squared deviations from the mean (SDM) result from squaring deviations. In probability theory and statistics, the definition of variance is either the
Squared deviations from the mean
Squared_deviations_from_the_mean
Statistical property
(usually an estimator of a parameter, like the average or mean) is the standard deviation of its sampling distribution. The standard error is often used
Standard_error
Probability distribution
mean) by the range (c − a), linearly for the mean deviation and nonlinearly for the variance: (mean deviation around mean) ( Y ) = ( (mean deviation around
Beta_distribution
Statistical error measure
related to the mean squared error, the equivalent for mean absolute error is least absolute deviations. MAE is not identical to root-mean square error (RMSE)
Mean_absolute_error
Square root of the mean square
integral of the square of the function. In estimation theory, the root-mean-square deviation of an estimator measures how far the estimator strays from the data
Root_mean_square
Bound on probability of a random variable being far from its mean
deviation of a random variable (with finite variance) from its mean. More specifically, the probability that a random variable deviates from its mean
Chebyshev's_inequality
Statistical amount
Typically when a mean is calculated it is important to know the variance and standard deviation about that mean. When a weighted mean μ ∗ {\displaystyle
Weighted_arithmetic_mean
1993 studio album by Cynic
from the Focus bass transcription book, Jeff Wagner, the author of Mean Deviation: Four Decades of Progressive Heavy Metal and co-host of the podcast
Focus_(Cynic_album)
Statistical measure of variability
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
Swedish progressive metal band
.." www.facebook.com. Retrieved 5 August 2025. Jeff Wagner (2010). Mean Deviation: Four Decades of Progressive Heavy Metal. Bazillion Points Books. p
Opeth
Book publishing company
MacKaye, Peter Davis (ISBN 978-09796163-8-9) Released June 30, 2010. Mean Deviation: Four Decades of Progressive Heavy Metal, by Jeff Wagner. Foreword by
Bazillion_Points
Measure of distance between atoms of superimposed proteins
In bioinformatics, the root mean square deviation of atomic positions, or simply root mean square deviation (RMSD), is the measure of the average distance
Root mean square deviation of atomic positions
Root_mean_square_deviation_of_atomic_positions
Measure of income inequality
In statistics and econometrics, the mean log deviation (MLD) is a measure of income inequality. The MLD is zero when everyone has the same income, and
Mean_log_deviation
Test statistic
extensively in goodness of fit testing. It is also known as mean squared weighted deviation (MSWD) in isotopic dating and variance of unit weight in the
Reduced_chi-squared_statistic
Statistical measure
the geometric standard deviation (GSD) describes how spread out are a set of numbers whose preferred average is the geometric mean. For such data, it may
Geometric_standard_deviation
Measure of statistical dispersion
and the standard deviation (the first L-moment and first conventional moment are both the mean). Both the standard deviation and the mean absolute difference
Mean_absolute_difference
Probability distribution
1 {\displaystyle \lambda ^{1/\nu }-1} . The mean deviation of X ν {\displaystyle X^{\nu }} about its mean λ {\displaystyle \lambda } is given by E |
Conway–Maxwell–Poisson distribution
Conway–Maxwell–Poisson_distribution
Measure of prediction accuracy of a forecast
The mean absolute percentage error (MAPE), also known as mean absolute percentage deviation (MAPD), is a measure of prediction accuracy of a forecasting
Mean absolute percentage error
Mean_absolute_percentage_error
Subgenre of heavy metal music
presentation of the genre are eclectic as well. According to Jeff Wagner in Mean Deviation, electronic percussion and drum machines see widespread use by avant-garde
Avant-garde_metal
1985 studio album by Fates Warning
singing and harmonized guitar riffs. In the 2010 music history book Mean Deviation: Four Decades of Progressive Heavy Metal, journalist Jeff Wagner stated
The_Spectre_Within
Music genre
ISSN 0300-7766. S2CID 194078761. Retrieved 11 July 2023. Jeff Wagner (2010). Mean Deviation: Four Decades of Progressive Heavy Metal. Bazillion Points Books. p
Zeuhl
Average of squared values of a sample
the arithmetic mean of the squares of the deviations between a set of numbers and a reference value (e.g., may be a mean or an assumed mean of the data)
Mean_square
Russian general-purpose machine gun and its variants
bipod, as a light machine gun has the following accuracy of fire: a mean deviation of 7–10 cm (2.8–3.9 in) at a range of 100 m (109 yd), 37–51 cm (15–20 in)
PK_machine_gun
1985 studio album by Megadeth
"chaotic", accompanied by "lightning-fast" solo sections. In his book Mean Deviation: Four Decades of Progressive Heavy Metal, editor Jeff Wagner wrote the
Killing Is My Business... and Business Is Good!
Killing_Is_My_Business..._and_Business_Is_Good!
2000 studio album by Mayhem
focusing heavily on experimental and progressive elements. In his book Mean Deviation: Four Decades of Progressive Heavy Metal, Jeff Wagner wrote that Grand
Grand_Declaration_of_War
1983 demo album by Hellhammer
of Hellhammer was constantly changing around this time. In the book Mean Deviation: Four Decades of Progressive Heavy Metal, the demo was described as
Satanic_Rites
Topics referred to by the same term
and an intended final dimension. Deviation (statistics), the difference between the value of an observation and the mean of the population in mathematics
Deviation
How many standard deviations apart from the mean an observed datum is
number of standard deviations by which the value of a raw score (i.e., an observed value or data point) is above or below the mean value of what is being
Standard_score
Mathematical framework for investment risk
axiom. Alternatively, mean-deviation analysis is a rational choice theory resulting from replacing variance by an appropriate deviation risk measure. In the
Modern_portfolio_theory
Statistics concept
observation is the deviation of the observed value from the true value of a quantity of interest (for example, a population mean). The residual is the
Errors_and_residuals
Music genre that blends heavy metal with classical music
To Mega Therion) and Nightwish. According to Jeff Wagner in his book Mean Deviation, the song was a creative watershed in metal, and except for Mekong Delta
Symphonic_metal
Number taken as representative of a list of numbers
distributions. Thus standard deviation about the mean is lower than standard deviation about any other point, and the maximum deviation about the midrange is
Average
Type of average of a collection of numbers
number for which the residuals (deviations from the estimate) sum to zero. This can also be interpreted as saying that the mean is translationally invariant
Arithmetic_mean
Correction for sample variance bias
population mean is unknown, the uncorrected sample variance is the mean of the squares of deviations of sample values from the sample mean (i.e., using
Bessel's_correction
American death metal band
Schuldiner". npr.org. Retrieved November 2, 2023. Wagner, Jeff (2010). Mean Deviation: Four Decades of Progressive Heavy Metal. Bazillion Points Books.
Death_(metal_band)
Crucial skill in all different fields of work and life
displays the measures of central tendency and measures of spread, such as mean, deviation, proportion, frequency etc. Inferential analysis analyses a sample
Analytical_skill
1978 studio album by Rush
Home and Away. ECW Press. ISBN 978-1-55022-678-2. Wagner, Jeff (2010). Mean Deviation: Four Decades of Progressive Heavy Metal. Brooklyn, New York: Bazillion
Hemispheres_(Rush_album)
American rock band
Implicit (2016) The Absence of Presence (2020) Wagner, Jeff (2010). Mean Deviation: Four Decades of Progressive Heavy Metal. Bazillion Points Books. p
Kansas_(band)
English musician (born 1967)
magazine Electronic Musician. Wilson wrote the foreword for 2010 book Mean Deviation. Wilson produced and contributed backing vocals, guitar and keyboards
Steven_Wilson
1970 studio album by Black Sabbath
Confusion. Castle Communications. ISBN 1-86074-149-5. Wagner, Jeff (2010). Mean Deviation: Four Decades of Progressive Heavy Metal. Bazillion Points Books. ISBN 978-0979616334
Black_Sabbath_(album)
Statistical phenomenon
where it's below its mean, when t < 0), is rt standard deviations above the mean of Y. Since |r| ≤ 1, Y is no farther from the mean than X is, as measured
Regression_toward_the_mean
1976 studio album by Rush
July 2014. Retrieved 1 April 2020. Wagner, Jeff (2010). Jeff Wagner, Mean Deviation: Four Decades of Progressive Heavy Metal, Bazillion Points, 2010, p
2112_(album)
2001 single by Tool
Guitar One magazine, transcribed by Adam Perlmutter Wagner, Jeff (2010). Mean Deviation. Bazillion Points. pp. 312–313. ISBN 978-0-9796163-3-4. Staff, Loudwire
Schism_(song)
American bassist (born 1967)
"Forgotten". Emptywords.org. Retrieved April 9, 2015. Wagner, Jeff (2010). Mean Deviation: Four Decades of Progressive Heavy Metal – Jeff Wagner. Bazillion Points
Steve_Di_Giorgio
1975 studio album by Rush
207–208. Popoff 2020, pp. 208–209. Wagner, Jeff; Wilson, Steven (2010). Mean Deviation: Four Decades of Progressive Heavy Metal. Brooklyn, New York: Bazillion
Caress_of_Steel
1983 studio album by Metallica
History. Voyageur Press. ISBN 978-0-7603-4482-8. Wagner, Jeff (2010). Mean Deviation: Four Decades of Progressive Heavy Metal. Bazillion Points Books.
Kill_'Em_All
1985 studio album by Possessed
ISBN 0-7607-4218-9. Wilson, Steven; Wagner, Jeff (December 1, 2010). Mean Deviation: Four Decades of Progressive Heavy Metal. Bazillion Points. p. 161.
Seven_Churches_(album)
Canadian heavy metal band
Credits". AllMusic. Retrieved November 9, 2019. Wagner, Jeff (2010). Mean Deviation: Four Decades of Progressive Heavy Metal. Bazillion Points Books. p
Voivod_(band)
Graph of wealth or income distribution
relative mean absolute deviation: F ( μ ) − L ( F ( μ ) ) = mean absolute deviation 2 μ {\displaystyle F(\mu )-L(F(\mu ))={\frac {\text{mean absolute
Lorenz_curve
1978 studio album by Black Sabbath
original on 20 October 2013. Retrieved 18 May 2014. Wagner, Jeff (2010). Mean Deviation: Four Decades of Progressive Heavy Metal. Bazillion Points Books. pp
Never_Say_Die!
Swiss metal band
original on 22 February 2008. Retrieved 26 March 2008. Wagner, Jeff. Mean Deviation. Bazillion Points Books, 2010. pp.116-124 Fischer p.80 September 9,
Celtic_Frost
Music genre melding heavy metal and progressive rock
Absolute Guide To Progressive Metal by Rocking.gr. Wagner, Jeff (2010). Mean Deviation: Four Decades of Progressive Heavy Metal. Bazillion Points. ISBN 978-0-9796163-3-4
Progressive_metal
Measure of forecasting quality
such as root-mean-square-deviation, and is therefore recommended for determining comparative accuracy of forecasts. The mean absolute scaled error has
Mean_absolute_scaled_error
Procedure to estimate standard deviation from a sample
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
1991 studio album by Death
album, according to Jeff Wagner in his 2010 text on progressive metal, Mean Deviation.[citation needed] It is Death's best-selling album, having sold 94,000
Human_(Death_album)
Heart condition
In electrocardiography, left axis deviation (LAD) is a condition wherein the mean electrical axis of ventricular contraction of the heart lies in a frontal
Left_axis_deviation
Moment of a random variable minus its mean
random variable's mean; that is, it is the expected value of a specified integer power of the deviation of the random variable from the mean. The various moments
Central_moment
1976 studio album by Judas Priest
Albums". Rolling Stone. Retrieved 5 December 2018. Wagner, Jeff (2010). Mean Deviation: Four Decades of Progressive Heavy Metal. Bazillion Points Books.
Sad_Wings_of_Destiny
American death metal band
Atheist | Album | AllMusic, retrieved July 14, 2025 Wagner, Jeff (2010). Mean Deviation: Four Decades of Progressive Heavy Metal. Bazillion Points Books. p
Atheist_(band)
Method for estimating variance of several different populations
and standard deviation. In a sense, this suggests finding a mean variance or standard deviation among the five results above. This mean variance is calculated
Pooled_variance
Magazine, archived from the original on 31 March 2002 Wagner, Jeff (2010). Mean Deviation: Four Decades of Progressive Heavy Metal. Bazillion Points. ISBN 978-0-9796163-3-4
List of progressive rock artists
List_of_progressive_rock_artists
Music genre combining jazz methods with rock music, funk, and rhythm and blues
musicians Jazz fusion ensembles Progressive soul Wagner, Jeff (2010). Mean Deviation: Four Decades of Progressive Heavy Metal. Bazillion Points Books. p
Jazz_fusion
Christian Rock & Roll. ECW Press. ISBN 1-55022-421-2. Wagner, Jeff (2010). Mean Deviation: Four Decades of Progressive Heavy Metal. Bazillion Points. ISBN 978-0-9796163-3-4
List of glam metal bands and artists
List_of_glam_metal_bands_and_artists
Record label
Misanthropy Records were within various heavy metal subgenres. Jeff Wagner in Mean Deviation writes that Misanthropy, along with The End Records, helped usher in
Misanthropy_Records
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
Canadian singer (born 1963)
Heroes. Dundurn. pp. 140–. ISBN 978-1-4597-0710-8. Jeff Wagner (2010). Mean Deviation: Four Decades of Progressive Heavy Metal. Bazillion Points Books. pp
James_LaBrie
Subgenre of black metal music
Metal Hammer. Future plc. Retrieved 5 June 2025. Wagner, Jeff (2010). Mean Deviation: Four Decades of Progressive Heavy Metal. Brooklyn: Bazillion Points
Symphonic_black_metal
1990 studio album by Megadeth
Musical Identity. Routledge. ISBN 0-415-97373-2. Wagner, Jeff (2010). Mean Deviation: Four Decades of Progressive Heavy Metal. Bazillion Points Books.
Rust_in_Peace
American progressive metal band
2015, at the Wayback Machine. GuitarGeek.Com Wagner, Jeff (2010). Mean Deviation: Four Decades of Progressive Heavy Metal. Bazillion Points. ISBN 978-0-9796163-3-4
Fates_Warning
English progressive rock band
another one who I would consider an influence. Wagner, Jeff (2010). Mean Deviation: Four Decades of Progressive Heavy Metal. Bazillion Points. p. 1.
King_Crimson
English rock band (1967–2022)
com. 20 September 2023. Retrieved 30 July 2026. Jeff Wagner (2010). Mean Deviation: Four Decades of Progressive Heavy Metal. Bazillion Points Books. p
Genesis_(band)
Compass error induced by local fields
source of compass error from magnetic deviation. The term magnetic deviation is sometimes used loosely to mean magnetic declination, but in navigation
Magnetic_deviation
Brazilian power metal band
Blabbermouth.net. 2026-05-01. Retrieved 2026-05-25. Wagner, Jeff (2010). Mean Deviation: Four Decades of Progressive Heavy Metal. Bazillion Points Books. p
Angra_(band)
English heavy metal band
original on 15 March 2015. Retrieved 8 February 2013. Wagner, Jeff (2010). Mean Deviation: Four Decades of Progressive Heavy Metal. Bazillion Points Books. p
Black_Sabbath
Two-part song series by Canadian progressive rock band Rush
All Time". PopMatters. Retrieved 8 January 2019. Wagner, Jeff (2010). Mean Deviation: Four Decades of Progressive Heavy Metal. Bazillion Points Books. p
Cygnus_X-1_(song_series)
Algorithm for the line of best fit for a two-dimensional dataset
"Model Fitting for Multiple Variables by Minimising the Geometric Mean Deviation". In Van Huffel, Sabine; Lemmerling, P. (eds.). Total Least Squares
Deming_regression
21 October 2015. Retrieved 19 November 2025. Wagner, Jeff (2010). Mean Deviation: Four Decades of Progressive Heavy Metal. Bazillion Points Books. p
List_of_crust_punk_bands
1990 studio album by Believer
before one can change the world. According to Jeff Wagner in his book Mean Deviation, the song "Dies Irae (Day of Wrath)" was a creative watershed in metal
Sanity_Obscure
American progressive metal band
Magazine. October 1, 2009. Retrieved April 24, 2020. Wagner, Jeff (2010). Mean Deviation: Four Decades of Progressive Heavy Metal. Bazillion Points. ISBN 978-0-9796163-3-4
Cynic_(band)
French progressive rock band
"Christian Vander". Last.fm. Retrieved 16 October 2009. Jeff Wagner (2010). Mean Deviation: Four Decades of Progressive Heavy Metal. Bazillion Points Books. p
Magma_(band)
Norwegian heavy metal band
Louder. Retrieved 2026-02-16. Wagner, Jeff; Wilson, Steven (2010). Mean deviation: four decades of progressive heavy metal. Brooklyn, NY: Bazillon Points
Green_Carnation
1986 studio album by Queensrÿche
was one of the boldest metal albums of its time Wagner, Jeff (2010). Mean Deviation: Four Decades of Progressive Heavy Metal. Bazillion Points Books. p
Rage_for_Order
Tool used by eye care professionals
glaucoma progression. They include: Mean deviation (MD): Derived from the total deviation and represents the overall mean departure from the age-corrected
Humphrey visual field analyser
Humphrey_visual_field_analyser
Broad genre of popular music
University Press, 1997), ISBN 0-19-509887-0, p. 129. Jeff Wagner (2010). Mean Deviation: Four Decades of Progressive Heavy Metal. Bazillion Points Books. p
Rock_music
1994 studio album by Tiamat
Bazillion Points Books. ISBN 978-0979616310. Wagner, Jeff (2010). Mean Deviation: Four Decades of Progressive Heavy Metal. Bazillion Points Books. ISBN 978-0979616334
Wildhoney_(album)
Swiss thrash metal band
Sonic Perspectives. Retrieved 11 April 2026. Wagner, Jeff (2010). Mean Deviation: Four Decades of Progressive Heavy Metal. Bazillion Points. pp. 129–133
Coroner_(band)
American heavy metal band
Rough Guide. Rough Guides. ISBN 1-85828-421-X. Wagner, Jeff (2010). Mean Deviation: Four Decades of Progressive Heavy Metal. Bazillion Points Books.
Megadeth
Expression of wave height
average downward deviations from mean sea level, namely a) the sum of the absolute value of a sine wave's average (mean) deviation during its upward
Hawaiian_scale
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. An example
Mode_(statistics)
1988 studio album by Crimson Glory
Townsquare Media. Retrieved September 27, 2021. Wagner, Jeff (2010). Mean Deviation: Four Decades of Progressive Heavy Metal. Bazillion Points Books. p
Transcendence (Crimson Glory album)
Transcendence_(Crimson_Glory_album)
Annual American music festival
2007). "Onstage ProgPower VII". Metal Maniacs. Wagner, Jeff (2010). Mean Deviation: Four Decades of Progressive Heavy Metal. Brooklyn, NY: Bazillion Points
ProgPower_USA
Topics referred to by the same term
measure of central tendency Mean deviation (disambiguation) This disambiguation page lists articles associated with the title Mean difference. If an internal
Mean_difference
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