From Wikipedia, the free encyclopedia
.^ When graphed, normally distributed data form the classic bell curve.- Online Focus Group, Market Research » Blog Archive » Standard Deviation 28 January 2010 0:54 UTC iresearch.com [Source type: FILTERED WITH BAYES]
^ Randomly dropping balls create a normal distribution curve (bell curve) .
^ Normal distribution curve (bell curve) .
Each colored band has a width of one standard deviation.
A data set with a mean of 50 (shown in blue) and a standard deviation (σ) of 20.
.^ Then the average of the squared deviations is calculated, to give a result caused the variance and standard deviation is the square root of this variance.- UltimaCalc, Doing Standard Deviation with UltimaCalc 28 January 2010 0:54 UTC www.iconico.com [Source type: FILTERED WITH BAYES]
^ In fact, it will be reduced by about half the variance (where variance is the standard deviation squared).- Standard Deviation and Monte Carlo 28 January 2010 0:54 UTC efmoody.com [Source type: FILTERED WITH BAYES]
^ Basic Rule of the Variance and the standard deviation .- Duncan Williamson: Introduction to the Standard Devaition stdev.html 28 January 2010 0:54 UTC www.duncanwil.co.uk [Source type: FILTERED WITH BAYES]
.^ Why the standard deviation is a good measure of the average distance to the mean.- UsableStats: Statistics Tutorials 28 January 2010 0:54 UTC www.usablestats.com [Source type: FILTERED WITH BAYES]
^ Basic Rule of the Variance and the standard deviation .- Duncan Williamson: Introduction to the Standard Devaition stdev.html 28 January 2010 0:54 UTC www.duncanwil.co.uk [Source type: FILTERED WITH BAYES]
^ Absolute Value vs. Standard Deviation ?- Quandaries & Queries at Math Central 28 January 2010 0:54 UTC mathcentral.uregina.ca [Source type: FILTERED WITH BAYES]
- Dilemmes et doutes - Centrale des maths 28 January 2010 0:54 UTC centraledesmaths.uregina.ca [Source type: FILTERED WITH BAYES]
.^ Basically it's a measure of variability, or how much the price varies from its moving average.- Standard Deviation 28 January 2010 0:54 UTC chartfilter.com [Source type: FILTERED WITH BAYES]
^ How much variation is there in the estimates of "typical" described above?
^ In simple terms, it shows how much variation there is from the "average" (mean).- Standard Deviation: GMAT Math - Business Exchange 28 January 2010 0:54 UTC bx.businessweek.com [Source type: FILTERED WITH BAYES]
.^ The standard deviation measures the spread of the data about the mean value.- Standard Deviation 28 January 2010 0:54 UTC www.gcseguide.co.uk [Source type: FILTERED WITH BAYES]
- www.Garmento.org - Standard Deviation 28 January 2010 0:54 UTC www.garmento.org [Source type: FILTERED WITH BAYES]
^ The size of the mean value of the data set depends on the size of the standard deviation.- Learning Resources: Statistics: Power from Data! Variance and standard deviation 28 January 2010 0:54 UTC www.statcan.gc.ca [Source type: Reference]
^ Add a point between mean and mean + standard deviation.- Mean, Variance, and Standard Deviation 28 January 2010 0:54 UTC www.fmi.uni-sofia.bg [Source type: Reference]
.^ Forget about the pooled standard deviation!- Standard Deviation: Formula, Algorithm, Software 28 January 2010 0:54 UTC saliu.com [Source type: FILTERED WITH BAYES]
^ Example standard-deviation function .
^ This question about " Standard Deviation?- Standard Deviation? - Yahoo! UK & Ireland Answers 28 January 2010 0:54 UTC uk.answers.yahoo.com [Source type: General]
- Standard Deviation? - Yahoo! Answers 28 January 2010 0:54 UTC answers.yahoo.com [Source type: General]
.^ 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.- Dorlands Medical Dictionary:standard deviation 28 January 2010 0:54 UTC www.mercksource.com [Source type: Academic]
^ A normal distribution has a bell-shaped density curve described by its mean and standard deviation .- The Normal Distribution 28 January 2010 0:54 UTC www.stat.yale.edu [Source type: Academic]
^ Is it possible for both the minimum and maximum values to be within one standard deviation of the mean?- Mean, Variance, and Standard Deviation 28 January 2010 0:54 UTC www.fmi.uni-sofia.bg [Source type: Reference]
.^ Which standard deviation formula would I use and where?- Which standard deviation formula would I use and where? - Yahoo! UK & Ireland Answers 28 January 2010 0:54 UTC uk.answers.yahoo.com [Source type: General]
^ Investopedia Commentary A volatile stock would have a high standard deviation.- Standard deviation Definition | Definition of Standard deviation at Dictionary.com 28 January 2010 0:54 UTC dictionary.reference.com [Source type: Reference]
^ If everyone were exactly the same, the standard deviation would be zero.- Article: Mutual fund risk: standard deviation is not the answer: don't use standard deviation by itself as a measure of risk. It is misleading and wrong. - Money Digest | HighBeam Research - FREE trial 28 January 2010 0:54 UTC www.highbeam.com [Source type: Academic]
- Article: Standard deviation: a risky measurement tool: standard deviation measures the volatility of a mutual fund, but is imperfect as a risk measurement tool. - Money Digest | HighBeam Research - FREE trial 28 January 2010 0:54 UTC www.highbeam.com [Source type: Academic]
.^ In fact, it will be reduced by about half the variance (where variance is the standard deviation squared).- Standard Deviation and Monte Carlo 28 January 2010 0:54 UTC efmoody.com [Source type: FILTERED WITH BAYES]
^ Variance and standard deviation Statistics Canada .- Learning Resources: Statistics: Power from Data! Variance and standard deviation 28 January 2010 0:54 UTC www.statcan.gc.ca [Source type: Reference]
^ Basic Rule of the Variance and the standard deviation .- Duncan Williamson: Introduction to the Standard Devaition stdev.html 28 January 2010 0:54 UTC www.duncanwil.co.uk [Source type: FILTERED WITH BAYES]
.^ Find the sample variance and standard deviation.- Sample Variance and Sample Standard Deviation 28 January 2010 0:54 UTC www.castleton.edu [Source type: Academic]
^ A normal distribution has a bell-shaped density curve described by its mean and standard deviation .- The Normal Distribution 28 January 2010 0:54 UTC www.stat.yale.edu [Source type: Academic]
^ Also, how do u know when to find the population standard deviation or the sample standard deviation?- How To Calculate Standard Deviation 28 January 2010 0:54 UTC hubpages.com [Source type: FILTERED WITH BAYES]
.^ Variance and standard deviation Statistics Canada .- Learning Resources: Statistics: Power from Data! Variance and standard deviation 28 January 2010 0:54 UTC www.statcan.gc.ca [Source type: Reference]
^ Basic Rule of the Variance and the standard deviation .- Duncan Williamson: Introduction to the Standard Devaition stdev.html 28 January 2010 0:54 UTC www.duncanwil.co.uk [Source type: FILTERED WITH BAYES]
^ The standard deviation is the square root of the variance. .- Statistics in C# : variance, standard deviation, covariance & pearson 28 January 2010 0:54 UTC www.noviway.com [Source type: Academic]
.^ It will also calculate the standard errors of the mean, median, standard deviation, variance, an of the coefficient of variation.- UltimaCalc, Doing Standard Deviation with UltimaCalc 28 January 2010 0:54 UTC www.iconico.com [Source type: FILTERED WITH BAYES]
^ The student will calculate the standard deviation and percentage error of the gathered temperatures.- Using Standard Deviation, part 2 28 January 2010 0:54 UTC teachertech.rice.edu [Source type: FILTERED WITH BAYES]
^ To see an example of how this parameter is calculated go to Standard Deviation Calculation .
.^ Forget about the pooled standard deviation!- Standard Deviation: Formula, Algorithm, Software 28 January 2010 0:54 UTC saliu.com [Source type: FILTERED WITH BAYES]
^ We typically calculate the confidence interval for the mean but it can be done for the estimate of the standard deviation as well.- Confidence and Deviation : Eoin Lawless 28 January 2010 0:54 UTC blogs.sun.com [Source type: FILTERED WITH BAYES]
^ This note explains the formulae for the standard error and 95% confidence interval for the estimated within subject standard deviation, s w .- What is the standard error of the within-subject standard deviation? 28 January 2010 0:54 UTC www-users.york.ac.uk [Source type: Academic]
.^ Variance and standard deviation Statistics Canada .- Learning Resources: Statistics: Power from Data! Variance and standard deviation 28 January 2010 0:54 UTC www.statcan.gc.ca [Source type: Reference]
^ Basic Rule of the Variance and the standard deviation .- Duncan Williamson: Introduction to the Standard Devaition stdev.html 28 January 2010 0:54 UTC www.duncanwil.co.uk [Source type: FILTERED WITH BAYES]
^ The standard deviation is the square root of the variance. .- Statistics in C# : variance, standard deviation, covariance & pearson 28 January 2010 0:54 UTC www.noviway.com [Source type: Academic]
.^ Standard deviation is used to measure the volatility of a mutual fund.- Article: Standard deviation: a risky measurement tool: standard deviation measures the volatility of a mutual fund, but is imperfect as a risk measurement tool. - Money Digest | HighBeam Research - FREE trial 28 January 2010 0:54 UTC www.highbeam.com [Source type: Academic]
- Standard deviation: a risky measurement tool: standard deviation measures the volatility of a mutual fund, but is imperfect as a risk measurement tool. - Money Digest | Encyclopedia.com 28 January 2010 0:54 UTC www.encyclopedia.com [Source type: Academic]
^ So, investment gurus DEFINE volatility as the Standard Deviation.- Standard Deviation and Risk 28 January 2010 0:54 UTC www.gummy-stuff.org [Source type: FILTERED WITH BAYES]
^ Additionally, it will now return the standard deviation.- Adding Standard Deviation to LINQ — Developer.com 28 January 2010 0:54 UTC www.developer.com [Source type: FILTERED WITH BAYES]
- Adding Standard Deviation to LINQ — Developer.com 28 January 2010 0:54 UTC www.developer.com [Source type: FILTERED WITH BAYES]
.^ Which standard deviation formula would I use and where?- Which standard deviation formula would I use and where? - Yahoo! UK & Ireland Answers 28 January 2010 0:54 UTC uk.answers.yahoo.com [Source type: General]
^ Why use n-1 when calculating a standard deviation?- Why use n-1 when calculating a standard deviation? 28 January 2010 0:54 UTC www.graphpad.com [Source type: FILTERED WITH BAYES]
^ The formula for Standard Deviation is as follows: .- Chapter 9 Standard Deviation 28 January 2010 0:54 UTC www.800score.com [Source type: FILTERED WITH BAYES]
- Chapter 9 Standard Deviation 28 January 2010 0:54 UTC www.800score.com [Source type: FILTERED WITH BAYES]
.^ Variance and standard deviation Statistics Canada .- Learning Resources: Statistics: Power from Data! Variance and standard deviation 28 January 2010 0:54 UTC www.statcan.gc.ca [Source type: Reference]
^ Basic Rule of the Variance and the standard deviation .- Duncan Williamson: Introduction to the Standard Devaition stdev.html 28 January 2010 0:54 UTC www.duncanwil.co.uk [Source type: FILTERED WITH BAYES]
^ It will also calculate the standard errors of the mean, median, standard deviation, variance, an of the coefficient of variation.- UltimaCalc, Doing Standard Deviation with UltimaCalc 28 January 2010 0:54 UTC www.iconico.com [Source type: FILTERED WITH BAYES]
.^ Standard deviation measures how widely spread data points are.- Definition of standard_deviation - Chemistry Dictionary 28 January 2010 0:54 UTC www.chemicool.com [Source type: Academic]
^ The key point is that the standard deviation is an objective measure of variation.- What is a standard deviation and how do I compute it? 28 January 2010 0:54 UTC www.winspc.com [Source type: FILTERED WITH BAYES]
^ However, the standard deviation will stay the same!- Further Aspects of Standard Deviation 28 January 2010 0:54 UTC richardbowles.tripod.com [Source type: FILTERED WITH BAYES]
.^ Solving for sample standard deviation.- Statistics Standard Deviation Equations Formulas Calculator - Sample 28 January 2010 0:54 UTC www.ajdesigner.com [Source type: Academic]
^ Statistically speaking, the standard deviation depends on whether you have sample data or population data.- Java - Computing Standard Deviation | DreamInCode.net 28 January 2010 0:54 UTC www.dreamincode.net [Source type: General]
^ The sample standard deviation (usually represented by S) measures the variability of data in a sample.- Standard Deviation Formula? - Yahoo! Answers 28 January 2010 0:54 UTC answers.yahoo.com [Source type: General]
Basic example
Consider a population consisting of the following values:
There are eight data points in total, with a
mean (or average) value of 5:
To calculate the population standard deviation, first compute the difference of each data point from the mean, and
square the result:
Next divide the sum of these values by the number of values and take the
square root to give the standard deviation:
Therefore, the above has a population standard deviation of 2.
The above assumes a
complete population.
.^ Absolute Value vs. Standard Deviation ?- Quandaries & Queries at Math Central 28 January 2010 0:54 UTC mathcentral.uregina.ca [Source type: FILTERED WITH BAYES]
- Dilemmes et doutes - Centrale des maths 28 January 2010 0:54 UTC centraledesmaths.uregina.ca [Source type: FILTERED WITH BAYES]
^ Part of the assignment is to compute the standard deviation for each sample that is generated.- Re: standard deviation / limit problem 28 January 2010 0:54 UTC library.thinkquest.org [Source type: Original source]
^ Compute the sample standard deviation of the adjusted scores.- How to Compute the Population Variance and Standard Deviation, find Simple Random Samples and Compare the Standard Deviations (Section 3.2 topic).doc 28 January 2010 0:54 UTC co-5.college-online.com [Source type: Academic]
Definition
Probability distribution or random variable
.^ Answer #3: Standard deviation is a value that tells us how far above or below his average you can expect a player to be around 68% of the time.
^ The mean of a probability distribution is its average or expected value.- Riskese - Index Funds Advisors, Inc. 28 January 2010 0:54 UTC www.ifa.com [Source type: FILTERED WITH BAYES]
^ The standard deviation is analyzed from two angles: 1) a probability parameter of binomial events (compared to the expected value); 2) a statistical parameter of a numerical series (compared to the mean average).- Standard Deviation: Formula, Algorithm, Software 28 January 2010 0:54 UTC saliu.com [Source type: FILTERED WITH BAYES]
Then the
standard deviation of
X is the quantity
.^ The National Institute of Standards and Technology’s statistics Web site offers Critical Values of the Chi-Square Distribution for 1 through 100 degrees of freedom.- Inferences about One Population Standard Deviation — MATH200 (TC3, Brown) 28 January 2010 0:54 UTC www.tc3.edu [Source type: FILTERED WITH BAYES]
^ The positive square root of the variance, called the standard deviation, has the same units as the original variable and can be easier to interpret for this reason.- RF Cafe - Variance and Standard & Mean Deviation 28 January 2010 0:54 UTC www.rfcafe.com [Source type: Academic]
^ Then the average of the squared deviations is calculated, to give a result caused the variance and standard deviation is the square root of this variance.- UltimaCalc, Doing Standard Deviation with UltimaCalc 28 January 2010 0:54 UTC www.iconico.com [Source type: FILTERED WITH BAYES]
In the case where
X takes random values from a finite data set
, with each value having the same probability, the standard deviation is
.^ Variance and standard deviation Statistics Canada .- Learning Resources: Statistics: Power from Data! Variance and standard deviation 28 January 2010 0:54 UTC www.statcan.gc.ca [Source type: Reference]
^ I think the same can be done for standard deviation as well.
^ The standard deviation for a discrete variable is defined as .- Learning Resources: Statistics: Power from Data! Variance and standard deviation 28 January 2010 0:54 UTC www.statcan.gc.ca [Source type: Reference]
.^ Variance and standard deviation Statistics Canada .- Learning Resources: Statistics: Power from Data! Variance and standard deviation 28 January 2010 0:54 UTC www.statcan.gc.ca [Source type: Reference]
^ Basic Rule of the Variance and the standard deviation .- Duncan Williamson: Introduction to the Standard Devaition stdev.html 28 January 2010 0:54 UTC www.duncanwil.co.uk [Source type: FILTERED WITH BAYES]
^ The standard deviation for a discrete variable is defined as .- Learning Resources: Statistics: Power from Data! Variance and standard deviation 28 January 2010 0:54 UTC www.statcan.gc.ca [Source type: Reference]
.^ Variance and standard deviation Statistics Canada .- Learning Resources: Statistics: Power from Data! Variance and standard deviation 28 January 2010 0:54 UTC www.statcan.gc.ca [Source type: Reference]
^ Basic Rule of the Variance and the standard deviation .- Duncan Williamson: Introduction to the Standard Devaition stdev.html 28 January 2010 0:54 UTC www.duncanwil.co.uk [Source type: FILTERED WITH BAYES]
^ Absolute Value vs. Standard Deviation ?- Quandaries & Queries at Math Central 28 January 2010 0:54 UTC mathcentral.uregina.ca [Source type: FILTERED WITH BAYES]
- Dilemmes et doutes - Centrale des maths 28 January 2010 0:54 UTC centraledesmaths.uregina.ca [Source type: FILTERED WITH BAYES]
Continuous random variable
where
and where the integrals are
definite integrals taken for
x ranging over the sample space of
X.
.^ Other distributions have standard deviations, too.- Alternatives to Standard Deviation as Risk Measure | Bionic Turtle 28 January 2010 0:54 UTC www.bionicturtle.com [Source type: FILTERED WITH BAYES]
^ Normal distribution is knoown as two parameter distribution - standard deviation is an independant parameter.- Re: standard deviation / limit problem 28 January 2010 0:54 UTC library.thinkquest.org [Source type: Original source]
^ Z is expressed in terms of the number of standard deviations from the mean value.- Basic statistics: mean, median, average, standard deviation, z-scores, and p-value - ControlsWiki 28 January 2010 0:54 UTC controls.engin.umich.edu [Source type: Academic]
.^ Cautions: The tests on standard deviation or variance of a population require that the underlying population must be normal .- Inferences about One Population Standard Deviation — MATH200 (TC3, Brown) 28 January 2010 0:54 UTC www.tc3.edu [Source type: FILTERED WITH BAYES]
^ The normal distribution has the following characteristics: 68.3% of the area lies between x̄ - 1s and x̄ + 1s 95.5% of the area lies between x̄ - 2s and x̄ + 2s 99.7% of the area lies between x̄ - 3s and x̄ + 3s For example, if a certain control gives a mean test result of 5.6 with standard deviation .8, then 95.5% of future tests on that control will be in the range 4.0 - 7.2, within 2 standard deviations of the mean.- Standard deviation Information and Courses from MediaLab, Inc. 28 January 2010 0:54 UTC www.medialabinc.net [Source type: FILTERED WITH BAYES]
^ In this case the population standard deviation gives the absurd result σ x =0, whereas the sample standard deviation is undefined (0/0); a proper representation of the ignorance of the standard deviation after just one measurement.- standard deviation@Everything2.com 28 January 2010 0:54 UTC everything2.com [Source type: FILTERED WITH BAYES]
- standard deviation@Everything2.com 28 January 2010 0:54 UTC www.everything2.com [Source type: FILTERED WITH BAYES]
Estimation
.^ Find the mean and the standard deviation.- Quandaries & Queries at Math Central 28 January 2010 0:54 UTC mathcentral.uregina.ca [Source type: FILTERED WITH BAYES]
- Dilemmes et doutes - Centrale des maths 28 January 2010 0:54 UTC centraledesmaths.uregina.ca [Source type: FILTERED WITH BAYES]
^ Solution : First, find the sample standard deviation, which is 6.42 g.- Inferences about One Population Standard Deviation — MATH200 (TC3, Brown) 28 January 2010 0:54 UTC www.tc3.edu [Source type: FILTERED WITH BAYES]
^ Finding the standard deviation of a merged group .- Further Aspects of Standard Deviation 28 January 2010 0:54 UTC richardbowles.tripod.com [Source type: FILTERED WITH BAYES]
.^ Because it is 5.92 for the population standard deviation.- How To Calculate Standard Deviation 28 January 2010 0:54 UTC hubpages.com [Source type: FILTERED WITH BAYES]
^ To estimate the standard deviation σ of a population at confidence level 1−α, the bounds are .- Inferences about One Population Standard Deviation — MATH200 (TC3, Brown) 28 January 2010 0:54 UTC www.tc3.edu [Source type: FILTERED WITH BAYES]
^ Sample standard deviation.- Standard Deviation Formula? - Yahoo! Answers 28 January 2010 0:54 UTC answers.yahoo.com [Source type: General]
Some estimators are given below:
With standard deviation of the sample
An estimator for σ sometimes used is the standard deviation of the sample, denoted by s_{n} and defined as follows:
.^ From Karen: How do you compare to see if a sample standard deviation is different than the population standard deviation?- Quandaries & Queries at Math Central 28 January 2010 0:54 UTC mathcentral.uregina.ca [Source type: FILTERED WITH BAYES]
^ Standard deviation is the square root of the average squared deviation from the mean.
^ The standard deviation is the square root of that.- Standard deviation of rolling dice - GameDev.Net Discussion Forums 28 January 2010 0:54 UTC www.gamedev.net [Source type: General]
.^ Unfortunately, the PV-WAVE documentation does not say which distribution is used in its algorithm for small sample sizes, only that the confidence limits "assume normality".- Visual Numerics Forums - confidence interval for standard deviation? 28 January 2010 0:54 UTC forums.vni.com [Source type: FILTERED WITH BAYES]
- Visual Numerics Forums - confidence interval for standard deviation? 28 January 2010 0:54 UTC forums.vni.com [Source type: FILTERED WITH BAYES]
^ As this situation very rarely arises, should be used and ignored, although even for moderate sample sizes the difference is going to be small.- eBMJ -- Statistics at Square One: 2. Mean and standard deviation 28 January 2010 0:54 UTC www.bmj.com [Source type: FILTERED WITH BAYES]
^ For small sample sizes, the Chi Squared Test will not always produce an accurate probability.- Basic statistics: mean, median, average, standard deviation, z-scores, and p-value - ControlsWiki 28 January 2010 0:54 UTC controls.engin.umich.edu [Source type: Academic]
.^ Variance and standard deviation Statistics Canada .- Learning Resources: Statistics: Power from Data! Variance and standard deviation 28 January 2010 0:54 UTC www.statcan.gc.ca [Source type: Reference]
^ Basic Rule of the Variance and the standard deviation .- Duncan Williamson: Introduction to the Standard Devaition stdev.html 28 January 2010 0:54 UTC www.duncanwil.co.uk [Source type: FILTERED WITH BAYES]
^ Statistically speaking, the standard deviation depends on whether you have sample data or population data.- Java - Computing Standard Deviation | DreamInCode.net 28 January 2010 0:54 UTC www.dreamincode.net [Source type: General]
With sample standard deviation
The most common estimator for σ used is an adjusted version, the sample standard deviation, denoted by "s" and defined as follows:
where
is the sample and
is the mean of the sample. This correction (the use of
N − 1 instead of
N) is known as
Bessel's correction.
.^ Sample estimate of population mean .- AP* Statistics Tutorial: Standard Error 28 January 2010 0:54 UTC stattrek.com [Source type: Academic]
^ Equation (3) above is an unbias estimate of population variance.- Basic statistics: mean, median, average, standard deviation, z-scores, and p-value - ControlsWiki 28 January 2010 0:54 UTC controls.engin.umich.edu [Source type: Academic]
^ Cautions: The tests on standard deviation or variance of a population require that the underlying population must be normal .- Inferences about One Population Standard Deviation — MATH200 (TC3, Brown) 28 January 2010 0:54 UTC www.tc3.edu [Source type: FILTERED WITH BAYES]
.^ Because it is 5.92 for the population standard deviation.- How To Calculate Standard Deviation 28 January 2010 0:54 UTC hubpages.com [Source type: FILTERED WITH BAYES]
^ To estimate the standard deviation σ of a population at confidence level 1−α, the bounds are .- Inferences about One Population Standard Deviation — MATH200 (TC3, Brown) 28 January 2010 0:54 UTC www.tc3.edu [Source type: FILTERED WITH BAYES]
^ Estimate the standard deviation of the population, with 95% confidence.- Inferences about One Population Standard Deviation — MATH200 (TC3, Brown) 28 January 2010 0:54 UTC www.tc3.edu [Source type: FILTERED WITH BAYES]
.^ A standard error of a statistic (or estimator) is the (estimated) standard deviation of the statistic.- Standard Deviation Scholarly Articles 28 January 2010 0:54 UTC www.hedgefund-index.com [Source type: FILTERED WITH BAYES]
^ Have a look here under # 1.2 Estimating standard deviation from a sample.- Standard deviation of rolling dice - GameDev.Net Discussion Forums 28 January 2010 0:54 UTC www.gamedev.net [Source type: General]
^ Will correcting this error affect the standard deviation?- Quandaries & Queries at Math Central 28 January 2010 0:54 UTC mathcentral.uregina.ca [Source type: FILTERED WITH BAYES]
- Dilemmes et doutes - Centrale des maths 28 January 2010 0:54 UTC centraledesmaths.uregina.ca [Source type: FILTERED WITH BAYES]
.^ (The division by the number of observations minus one instead of the number of observations itself to obtain the mean square is because "degrees of freedom" must be used.- eBMJ -- Statistics at Square One: 2. Mean and standard deviation 28 January 2010 0:54 UTC www.bmj.com [Source type: FILTERED WITH BAYES]
With interquartile range
The statistic
.^ Most sample data are not normally distributed.- Basic statistics: mean, median, average, standard deviation, z-scores, and p-value - ControlsWiki 28 January 2010 0:54 UTC controls.engin.umich.edu [Source type: Academic]
^ The normal range for all tests is defined as plus or minus 2 SDs, which generally equates to 95% of the population.- » Standard Deviation Buzz - DiabetesMine: the all things diabetes blog 28 January 2010 0:54 UTC www.diabetesmine.com [Source type: General]
^ From Fareeha: A population consists of six numbers 1,2,3,4,5,6 a) How many different samples of two numbers can be selected with replacement?- Quandaries & Queries at Math Central 28 January 2010 0:54 UTC mathcentral.uregina.ca [Source type: FILTERED WITH BAYES]
.^ The range of a set of numerical data points is the difference between the largest value and the smallest value.- Beginning Algebra Tutorial on Central Tendencies 28 January 2010 0:54 UTC www.wtamu.edu [Source type: FILTERED WITH BAYES]
^ Unlike range and quartiles, the variance combines all the values in a data set to produce a measure of spread.- Learning Resources: Statistics: Power from Data! Variance and standard deviation 28 January 2010 0:54 UTC www.statcan.gc.ca [Source type: Reference]
.^ Answer #2: Standard Deviation is one number that we use to describe a bunch of numbers.
^ In a normal distribution, what percent of data would be more than +/- 3 standard deviations from the mean?- Standard deviation Information and Courses from MediaLab, Inc. 28 January 2010 0:54 UTC www.medialabinc.net [Source type: FILTERED WITH BAYES]
^ A standard error of a statistic (or estimator) is the (estimated) standard deviation of the statistic.- Standard Deviation Scholarly Articles 28 January 2010 0:54 UTC www.hedgefund-index.com [Source type: FILTERED WITH BAYES]
^{[4]}
Other estimators
.^ Basic Rule of the Variance and the standard deviation .- Duncan Williamson: Introduction to the Standard Devaition stdev.html 28 January 2010 0:54 UTC www.duncanwil.co.uk [Source type: FILTERED WITH BAYES]
^ Variance and Standard Deviation of a Beta Distribution If X has the beta distribution function f(x) = ( +1)( +2)x (1 x), then You can see the significance of the standard deviation quite clearly in the normal distribution.- Calculus and Probability 3 28 January 2010 0:54 UTC www.hofstra.edu [Source type: Academic]
^ Upgrade to FORMULA.EXE: standard deviation, binomial distribution .- Standard Deviation: Formula, Algorithm, Software 28 January 2010 0:54 UTC saliu.com [Source type: FILTERED WITH BAYES]
- FORMULA software, standard deviation, politics 28 January 2010 0:54 UTC saliu.com [Source type: FILTERED WITH BAYES]
Moreover, unbiasedness, (in this sense of the word), is not always desirable: see
bias of an estimator.
Identities and mathematical properties
.^ Variance and standard deviation Statistics Canada .- Learning Resources: Statistics: Power from Data! Variance and standard deviation 28 January 2010 0:54 UTC www.statcan.gc.ca [Source type: Reference]
^ Basic Rule of the Variance and the standard deviation .- Duncan Williamson: Introduction to the Standard Devaition stdev.html 28 January 2010 0:54 UTC www.duncanwil.co.uk [Source type: FILTERED WITH BAYES]
^ The standard deviation for a discrete variable is defined as .- Learning Resources: Statistics: Power from Data! Variance and standard deviation 28 January 2010 0:54 UTC www.statcan.gc.ca [Source type: Reference]
Thus, for a constant
c and random variables
X and
Y:
The standard deviation of the sum of two random variables can be related to their individual standard deviations and the covariance between them:
.^ Calculate statistics related to the standard deviation: Sums, mean average, and average deviation from the mean.- Standard Deviation: Formula, Algorithm, Software 28 January 2010 0:54 UTC saliu.com [Source type: FILTERED WITH BAYES]
^ It is calculated as the average squared deviation of each number from the mean of a data set.- Learning Resources: Statistics: Power from Data! Variance and standard deviation 28 January 2010 0:54 UTC www.statcan.gc.ca [Source type: Reference]
^ The standard deviation (typically denoted with the Greek letter sigma, σ ) is the root of the average of the sum of the squares of the distances of each number from the average of all the numbers (yadda yadda yadda).- Insyst - Filling In The Details 28 January 2010 0:54 UTC www.insystusa.com [Source type: Reference]
In general, we have
For a finite population with equal probabilities on all points, we have
.^ The standard deviation is the square root of that.- Standard deviation of rolling dice - GameDev.Net Discussion Forums 28 January 2010 0:54 UTC www.gamedev.net [Source type: General]
^ The positive square root of the variance is called the standard deviation of X and is denoted by .- THE MEAN, VARIANCE, AND STANDARD DEVIATION 28 January 2010 0:54 UTC cnx.org [Source type: Academic]
^ Calculate the average of the squared variances and then calculate the square root of this average variance and you will get the standard deviation of the investment in question.- Riskese - Index Funds Advisors, Inc. 28 January 2010 0:54 UTC www.ifa.com [Source type: FILTERED WITH BAYES]
.^ In fact, it will be reduced by about half the variance (where variance is the standard deviation squared).- Standard Deviation and Monte Carlo 28 January 2010 0:54 UTC efmoody.com [Source type: FILTERED WITH BAYES]
^ It is a variant of a standard deviation mathematical model.- Standard deviation downloads at VicMan 28 January 2010 0:54 UTC www.vicman.net [Source type: General]
^ To find the variance and standard deviation of X we first find .- THE MEAN, VARIANCE, AND STANDARD DEVIATION 28 January 2010 0:54 UTC cnx.org [Source type: Academic]
Interpretation and application
.^ Find the mean and the standard deviation.- Quandaries & Queries at Math Central 28 January 2010 0:54 UTC mathcentral.uregina.ca [Source type: FILTERED WITH BAYES]
- Dilemmes et doutes - Centrale des maths 28 January 2010 0:54 UTC centraledesmaths.uregina.ca [Source type: FILTERED WITH BAYES]
^ It means they score more points!
^ The mean is displayed by Shift and and the standard deviation by Shift and .- eBMJ -- Statistics at Square One: 2. Mean and standard deviation 28 January 2010 0:54 UTC www.bmj.com [Source type: FILTERED WITH BAYES]
.^ One important consequence of these results is that if we have a collection of numbers, say {G k }, with Mean = 0 and SD = 1, then the collection {λ G k + C} will have Mean = C and Standard Deviation = λ.- Standard Deviation and Risk 28 January 2010 0:54 UTC www.gummy-stuff.org [Source type: FILTERED WITH BAYES]
^ Cautions: The tests on standard deviation or variance of a population require that the underlying population must be normal .- Inferences about One Population Standard Deviation — MATH200 (TC3, Brown) 28 January 2010 0:54 UTC www.tc3.edu [Source type: FILTERED WITH BAYES]
^ Then the question asks you to calculate the mean and standard deviation of the students' ages on the 1st December 2000.- Further Aspects of Standard Deviation 28 January 2010 0:54 UTC richardbowles.tripod.com [Source type: FILTERED WITH BAYES]
.^ Absolute Value vs. Standard Deviation ?- Quandaries & Queries at Math Central 28 January 2010 0:54 UTC mathcentral.uregina.ca [Source type: FILTERED WITH BAYES]
- Dilemmes et doutes - Centrale des maths 28 January 2010 0:54 UTC centraledesmaths.uregina.ca [Source type: FILTERED WITH BAYES]
^ Find the mean and the standard deviation.- Quandaries & Queries at Math Central 28 January 2010 0:54 UTC mathcentral.uregina.ca [Source type: FILTERED WITH BAYES]
- Dilemmes et doutes - Centrale des maths 28 January 2010 0:54 UTC centraledesmaths.uregina.ca [Source type: FILTERED WITH BAYES]
^ Because it is 5.92 for the population standard deviation.- How To Calculate Standard Deviation 28 January 2010 0:54 UTC hubpages.com [Source type: FILTERED WITH BAYES]
It will have the same units as the data points themselves.
.^ Because it is 5.92 for the population standard deviation.- How To Calculate Standard Deviation 28 January 2010 0:54 UTC hubpages.com [Source type: FILTERED WITH BAYES]
^ However, the standard deviation involves every value of its data set.- Beginning Algebra Tutorial on Central Tendencies 28 January 2010 0:54 UTC www.wtamu.edu [Source type: FILTERED WITH BAYES]
^ Standard deviation from ungrouped data .- eBMJ -- Statistics at Square One: 2. Mean and standard deviation 28 January 2010 0:54 UTC www.bmj.com [Source type: FILTERED WITH BAYES]
.^ As illustrated in the example above, most of the time it is infeasible to directly measure a population parameter.- Basic statistics: mean, median, average, standard deviation, z-scores, and p-value - ControlsWiki 28 January 2010 0:54 UTC controls.engin.umich.edu [Source type: Academic]
^ For example, an analyst may make four measurements upon a given production lot of material (population).- Accuracy, Precision, Mean and Standard Deviation: ICP and ICP-MS Operations 28 January 2010 0:54 UTC www.ivstandards.com [Source type: Academic]
- Accuracy, Precision, Mean and Standard Deviation: ICP and ICP-MS Operations 28 January 2010 0:54 UTC www.inorganicventures.com [Source type: Academic]
.^ Find the mean and the standard deviation.- Quandaries & Queries at Math Central 28 January 2010 0:54 UTC mathcentral.uregina.ca [Source type: FILTERED WITH BAYES]
- Dilemmes et doutes - Centrale des maths 28 January 2010 0:54 UTC centraledesmaths.uregina.ca [Source type: FILTERED WITH BAYES]
^ The mean is displayed by Shift and and the standard deviation by Shift and .- eBMJ -- Statistics at Square One: 2. Mean and standard deviation 28 January 2010 0:54 UTC www.bmj.com [Source type: FILTERED WITH BAYES]
^ Comparing means and standard deviations .- Quandaries & Queries at Math Central 28 January 2010 0:54 UTC mathcentral.uregina.ca [Source type: FILTERED WITH BAYES]
- Dilemmes et doutes - Centrale des maths 28 January 2010 0:54 UTC centraledesmaths.uregina.ca [Source type: FILTERED WITH BAYES]
.^ If this analysis was repeated several times to produce several sample sets (four each) of data, it would be expected that each set of measurements would have a different mean and a different estimate of the standard deviation.- Accuracy, Precision, Mean and Standard Deviation: ICP and ICP-MS Operations 28 January 2010 0:54 UTC www.ivstandards.com [Source type: Academic]
- Accuracy, Precision, Mean and Standard Deviation: ICP and ICP-MS Operations 28 January 2010 0:54 UTC www.inorganicventures.com [Source type: Academic]
^ The symbol for mean average is the Greek letter MU. The symbol of standard deviation is the Greek letter SIGMA. The variance (sigma square) is the measurement of the squared deviations.- Standard Deviation: Formula, Algorithm, Software 28 January 2010 0:54 UTC saliu.com [Source type: FILTERED WITH BAYES]
^ WM n ) 2 ( 4 ) ##EQU00003## [0017] (E) may include obtaining the variance data or the standard deviation data in accordance with the weighted averages by assuming that a horizontal axis indicates weighted averages and a vertical axis indicates variances or standard deviations.- Method of obtaining variance data or standard deviation data for reducing noise, and digital photographing apparatus including recording medium storing variance data or standard deviation data for reducing noise - Patent application 28 January 2010 0:54 UTC www.faqs.org [Source type: Reference]
.^ Data sets with a small standard deviation have tightly grouped, precise data.- Basic statistics: mean, median, average, standard deviation, z-scores, and p-value - ControlsWiki 28 January 2010 0:54 UTC controls.engin.umich.edu [Source type: Academic]
^ The variance gives rise to standard deviation.- Z-5: Sum of Squares, Variance, and the Standard Error of the Mean - Westgard QC 28 January 2010 0:54 UTC www.westgard.com [Source type: Academic]
^ Standard deviation from grouped data .- eBMJ -- Statistics at Square One: 2. Mean and standard deviation 28 January 2010 0:54 UTC www.bmj.com [Source type: FILTERED WITH BAYES]
.^ Find the mean and the standard deviation.- Quandaries & Queries at Math Central 28 January 2010 0:54 UTC mathcentral.uregina.ca [Source type: FILTERED WITH BAYES]
- Dilemmes et doutes - Centrale des maths 28 January 2010 0:54 UTC centraledesmaths.uregina.ca [Source type: FILTERED WITH BAYES]
^ The mean is displayed by Shift and and the standard deviation by Shift and .- eBMJ -- Statistics at Square One: 2. Mean and standard deviation 28 January 2010 0:54 UTC www.bmj.com [Source type: FILTERED WITH BAYES]
^ Comparing means and standard deviations .- Quandaries & Queries at Math Central 28 January 2010 0:54 UTC mathcentral.uregina.ca [Source type: FILTERED WITH BAYES]
- Dilemmes et doutes - Centrale des maths 28 January 2010 0:54 UTC centraledesmaths.uregina.ca [Source type: FILTERED WITH BAYES]
.^ Absolute Value vs. Standard Deviation ?- Quandaries & Queries at Math Central 28 January 2010 0:54 UTC mathcentral.uregina.ca [Source type: FILTERED WITH BAYES]
- Dilemmes et doutes - Centrale des maths 28 January 2010 0:54 UTC centraledesmaths.uregina.ca [Source type: FILTERED WITH BAYES]
^ Susan pose la question : What is the range of values for standard deviation?
^ Range of values for standard deviation .- Quandaries & Queries at Math Central 28 January 2010 0:54 UTC mathcentral.uregina.ca [Source type: FILTERED WITH BAYES]
- Dilemmes et doutes - Centrale des maths 28 January 2010 0:54 UTC centraledesmaths.uregina.ca [Source type: FILTERED WITH BAYES]
See
prediction interval.
Application examples
.^ Absolute Value vs. Standard Deviation ?- Quandaries & Queries at Math Central 28 January 2010 0:54 UTC mathcentral.uregina.ca [Source type: FILTERED WITH BAYES]
- Dilemmes et doutes - Centrale des maths 28 January 2010 0:54 UTC centraledesmaths.uregina.ca [Source type: FILTERED WITH BAYES]
^ Standard deviation is the square root of the average squared deviation from the mean.
^ Mean and the S.D. of a set values is 100 and 5.- How To Calculate Standard Deviation 28 January 2010 0:54 UTC hubpages.com [Source type: FILTERED WITH BAYES]
Weather
.^ Average Calculation (within the annual returns table) The average displays a simple average of the displayed statistic; however partial years are considered within the calculation.- Statistics Used In PerTrac 28 January 2010 0:54 UTC support.pertrac.com [Source type: Academic]
.^ The average score might be 100 and the two side bars represent + or -15%.- Standard Deviation and Monte Carlo 28 January 2010 0:54 UTC efmoody.com [Source type: FILTERED WITH BAYES]
^ WM n ) 2 ( 4 ) ##EQU00003## [0017] (E) may include obtaining the variance data or the standard deviation data in accordance with the weighted averages by assuming that a horizontal axis indicates weighted averages and a vertical axis indicates variances or standard deviations.- Method of obtaining variance data or standard deviation data for reducing noise, and digital photographing apparatus including recording medium storing variance data or standard deviation data for reducing noise - Patent application 28 January 2010 0:54 UTC www.faqs.org [Source type: Reference]
^ Thus, the noise may be partially reduced by using the graph of the averages in the horizontal axis versus the variances or the standard deviations in the vertical axis.- Method of obtaining variance data or standard deviation data for reducing noise, and digital photographing apparatus including recording medium storing variance data or standard deviation data for reducing noise - Patent application 28 January 2010 0:54 UTC www.faqs.org [Source type: Reference]
.^ It is a variant of a standard deviation mathematical model.- Standard deviation downloads at VicMan 28 January 2010 0:54 UTC www.vicman.net [Source type: General]
^ To find the variance and standard deviation of X we first find .- THE MEAN, VARIANCE, AND STANDARD DEVIATION 28 January 2010 0:54 UTC cnx.org [Source type: Academic]
^ The Standard Deviation of these fifty-one annual returns is was 15.8%.- Standard Deviation and Risk 28 January 2010 0:54 UTC www.gummy-stuff.org [Source type: FILTERED WITH BAYES]
Sports
Another way of seeing it is to consider sports teams.
.^ If an explanation cannot be found for an outlier (other than it appears too high or low), there is a convenient test that can be used for the rejection of possible outliers from limited data sets.- Accuracy, Precision, Mean and Standard Deviation: ICP and ICP-MS Operations 28 January 2010 0:54 UTC www.ivstandards.com [Source type: Academic]
- Accuracy, Precision, Mean and Standard Deviation: ICP and ICP-MS Operations 28 January 2010 0:54 UTC www.inorganicventures.com [Source type: Academic]
^ Alternative Hypothesis: There is some other reason that they all received the same score.- Basic statistics: mean, median, average, standard deviation, z-scores, and p-value - ControlsWiki 28 January 2010 0:54 UTC controls.engin.umich.edu [Source type: Academic]
^ There is also plan to relieve teachers from some of the administrative tasks so that they can concentrate on the things they do best, teach.- Motives for teaching: percentage, means, standard deviation and rank order 28 January 2010 0:54 UTC www.aare.edu.au [Source type: Academic]
Chances are, the teams that lead in the standings will not show such disparity, but will perform well in most categories.
.^ Stephanie Sollow (ProgressiveWorld.net) Rating: 5/5 "One of the highlights of 2002 is Standard Deviation, Electrum's second release.- Net Dot Music, Inc. * Electrum - Standard Deviation * Reviews 28 January 2010 0:54 UTC www.netdotmusic.com [Source type: General]
^ It is true that the per year average rate of return has a smaller standard deviation for a longer time horizon.- Standard Deviation and Monte Carlo 28 January 2010 0:54 UTC efmoody.com [Source type: FILTERED WITH BAYES]
^ These numbers dont tell us who was better, they only indicate who was more CONSISTENT and who was more ERRATIC .
.^ Focus on the standard deviation of the rate of return should NEVER obscure the more proper emphasis on the possible dollar values of a portfolio strategy".- Standard Deviation and Monte Carlo 28 January 2010 0:54 UTC efmoody.com [Source type: FILTERED WITH BAYES]
^ So, if your mean blood sugar were 120 mg/dl, you would want your standard deviation to be no more than 40 mg/dl, or one-third of the mean.- » Standard Deviation Buzz - DiabetesMine: the all things diabetes blog 28 January 2010 0:54 UTC www.diabetesmine.com [Source type: General]
^ A data series with a standard deviation less than the median is more desirable as it is more highly predictable in its future movements.- Standard Deviation: Formula, Algorithm, Software 28 January 2010 0:54 UTC saliu.com [Source type: FILTERED WITH BAYES]
.^ This example is actually population standard deviation.
^ Standard deviation is a most fundamental element of randomness.- Standard Deviation: Formula, Algorithm, Software 28 January 2010 0:54 UTC saliu.com [Source type: FILTERED WITH BAYES]
^ This procedure illustrates the structure of the standard deviation, in particular that the two extreme values 0.1 and 3.2 contribute most to the sum of the differences squared.- eBMJ -- Statistics at Square One: 2. Mean and standard deviation 28 January 2010 0:54 UTC www.bmj.com [Source type: FILTERED WITH BAYES]
.^ Standard deviation is a most fundamental element of randomness.- Standard Deviation: Formula, Algorithm, Software 28 January 2010 0:54 UTC saliu.com [Source type: FILTERED WITH BAYES]
^ This procedure illustrates the structure of the standard deviation, in particular that the two extreme values 0.1 and 3.2 contribute most to the sum of the differences squared.- eBMJ -- Statistics at Square One: 2. Mean and standard deviation 28 January 2010 0:54 UTC www.bmj.com [Source type: FILTERED WITH BAYES]
^ Looking at a standard deviation will tell you if your average is made up of good numbers (great!- Standard Deviation - Diabetes Daily 28 January 2010 0:54 UTC www.diabetesdaily.com [Source type: General]
.^ Put into terms for securities, the average return might be 10% with a standard deviation (68% of the time) of 21%.- Standard Deviation and Monte Carlo 28 January 2010 0:54 UTC efmoody.com [Source type: FILTERED WITH BAYES]
^ However, an analysis of extensive test data indicates that there is a negative relationship between attenuation performance and the standard deviation.- Hearing protector performance and standard deviation Williams W, Dillon H - Noise Health 28 January 2010 0:54 UTC www.noiseandhealth.org [Source type: Academic]
^ Ideally, what testing should be done prior to starting a new lot of control material in order to establish its mean and standard deviation?- Standard deviation Information and Courses from MediaLab, Inc. 28 January 2010 0:54 UTC www.medialabinc.net [Source type: FILTERED WITH BAYES]
Trying to predict which teams, on any given day, will win, may include looking at the standard deviations of the various team "stats" ratings, in which anomalies can match strengths vs. weaknesses to attempt to understand what factors may prevail as stronger indicators of eventual scoring outcomes.
In racing, a driver is timed on successive laps.
.^ Put into terms for securities, the average return might be 10% with a standard deviation (68% of the time) of 21%.- Standard Deviation and Monte Carlo 28 January 2010 0:54 UTC efmoody.com [Source type: FILTERED WITH BAYES]
^ It is true that the per year average rate of return has a smaller standard deviation for a longer time horizon.- Standard Deviation and Monte Carlo 28 January 2010 0:54 UTC efmoody.com [Source type: FILTERED WITH BAYES]
^ Let's say we consider minus three standard deviations to be a big loss: the S&P 500 experienced a daily loss of minus three standard deviations about -3.4% of the time.- Standard Deviation and Monte Carlo 28 January 2010 0:54 UTC efmoody.com [Source type: FILTERED WITH BAYES]
This information can be used to help understand where opportunities might be found to reduce lap times.
Finance
.^ DEFINE risk as the Standard Deviation ...- Standard Deviation and Risk 28 January 2010 0:54 UTC www.gummy-stuff.org [Source type: FILTERED WITH BAYES]
^ In the field of finance, standard deviation represents the risk associated with a security (stocks or bonds), or the risk of a portfolio of securities (including actively managed mutual funds, index mutual funds, or ETFs).- Riskese - Index Funds Advisors, Inc. 28 January 2010 0:54 UTC www.ifa.com [Source type: FILTERED WITH BAYES]
^ Put into terms for securities, the average return might be 10% with a standard deviation (68% of the time) of 21%.- Standard Deviation and Monte Carlo 28 January 2010 0:54 UTC efmoody.com [Source type: FILTERED WITH BAYES]
), or the risk of a portfolio of securities
.^ Actively managed funds sometimes outperform index funds.- Riskese - Index Funds Advisors, Inc. 28 January 2010 0:54 UTC www.ifa.com [Source type: FILTERED WITH BAYES]
^ Investing in any mutual fund, index or actively managed, does not guarantee that an investor will make money, avoid losing capital, or indicate that the investment is risk-free.- Riskese - Index Funds Advisors, Inc. 28 January 2010 0:54 UTC www.ifa.com [Source type: FILTERED WITH BAYES]
^ Individual stock prices, mutual fund manager performances, and short-term market performance tend not to be mean reverting.- Riskese - Index Funds Advisors, Inc. 28 January 2010 0:54 UTC www.ifa.com [Source type: FILTERED WITH BAYES]
.^ Risk is an important factor in determining how to efficiently manage investments because it determines the variation in returns on the asset and/or portfolio and gives investors a mathematical basis for investment decisions (the basis for mean-variance optimization).- Riskese - Index Funds Advisors, Inc. 28 January 2010 0:54 UTC www.ifa.com [Source type: FILTERED WITH BAYES]
^ Where M RD = The mean return of the dependent variable .- Statistics Used In PerTrac 28 January 2010 0:54 UTC support.pertrac.com [Source type: Academic]
^ Investing in any mutual fund, index or actively managed, does not guarantee that an investor will make money, avoid losing capital, or indicate that the investment is risk-free.- Riskese - Index Funds Advisors, Inc. 28 January 2010 0:54 UTC www.ifa.com [Source type: FILTERED WITH BAYES]
.^ The overall concept of risk is that as it increases, the expected return on the asset should increase as a result of the risk premium earned – in other words, investors should not expect a higher returns on an investment without that investment having a higher degree of risk, or uncertainty of those returns.- Riskese - Index Funds Advisors, Inc. 28 January 2010 0:54 UTC www.ifa.com [Source type: FILTERED WITH BAYES]
^ When evaluating investments, investors should always estimate both the expected average return and the uncertainty of future returns.- Riskese - Index Funds Advisors, Inc. 28 January 2010 0:54 UTC www.ifa.com [Source type: FILTERED WITH BAYES]
^ When considering more extreme possible returns or outcomes in the future, an investor should expect results of up to 10% plus or minus 78% (3 x one standard deviation), or a range from 88% to -68%, which includes outcomes for three standard deviations from the average return (about 99.7% of probable returns).- Riskese - Index Funds Advisors, Inc. 28 January 2010 0:54 UTC www.ifa.com [Source type: FILTERED WITH BAYES]
.^ When evaluating investments, investors should always estimate both the expected average return and the uncertainty of future returns.- Riskese - Index Funds Advisors, Inc. 28 January 2010 0:54 UTC www.ifa.com [Source type: FILTERED WITH BAYES]
^ When considering more extreme possible returns or outcomes in the future, an investor should expect results of up to 10% plus or minus 78% (3 x one standard deviation), or a range from 88% to -68%, which includes outcomes for three standard deviations from the average return (about 99.7% of probable returns).- Riskese - Index Funds Advisors, Inc. 28 January 2010 0:54 UTC www.ifa.com [Source type: FILTERED WITH BAYES]
^ The overall concept of risk is that as it increases, the expected return on the asset should increase as a result of the risk premium earned – in other words, investors should not expect a higher returns on an investment without that investment having a higher degree of risk, or uncertainty of those returns.- Riskese - Index Funds Advisors, Inc. 28 January 2010 0:54 UTC www.ifa.com [Source type: FILTERED WITH BAYES]
.^ Volatility is annualized standard deviation of returns.- Standard Deviation and Monte Carlo 28 January 2010 0:54 UTC efmoody.com [Source type: FILTERED WITH BAYES]
^ Standard deviation provides a quantified estimate of the uncertainty of those future returns.- Riskese - Index Funds Advisors, Inc. 28 January 2010 0:54 UTC www.ifa.com [Source type: FILTERED WITH BAYES]
^ This estimation of the standard deviation is calculated from the relationship: .- 141 Standard Deviation Experiment 28 January 2010 0:54 UTC www.grossmont.edu [Source type: FILTERED WITH BAYES]
.^ For example, let's assume an investor had to choose between two stocks.- Riskese - Index Funds Advisors, Inc. 28 January 2010 0:54 UTC www.ifa.com [Source type: FILTERED WITH BAYES]
.^ I think the same can be done for standard deviation as well.- Quandaries & Queries at Math Central 28 January 2010 0:54 UTC mathcentral.uregina.ca [Source type: FILTERED WITH BAYES]
- Dilemmes et doutes - Centrale des maths 28 January 2010 0:54 UTC centraledesmaths.uregina.ca [Source type: FILTERED WITH BAYES]
^ Volatility is annualized standard deviation of returns.- Standard Deviation and Monte Carlo 28 January 2010 0:54 UTC efmoody.com [Source type: FILTERED WITH BAYES]
^ The average monthly return was 1.14% and the monthly standard deviation was 4.01%.- Riskese - Index Funds Advisors, Inc. 28 January 2010 0:54 UTC www.ifa.com [Source type: FILTERED WITH BAYES]
.^ Because it is 5.92 for the population standard deviation.- How To Calculate Standard Deviation 28 January 2010 0:54 UTC hubpages.com [Source type: FILTERED WITH BAYES]
^ Figure 8-1a Enlarge On the basis of risk and return, an investor may decide that The Walt Disney Company is the better choice, because Hewlett Packard's additional 2% points of return is not worth the additional 10% standard deviation (greater risk or uncertainty of the expected return).- Riskese - Index Funds Advisors, Inc. 28 January 2010 0:54 UTC www.ifa.com [Source type: FILTERED WITH BAYES]
^ Risk (denominator) is defined as the standard deviation of the investment returns.- Statistics Used In PerTrac 28 January 2010 0:54 UTC support.pertrac.com [Source type: Academic]
.^ Hewlett Packard has a lower risk/reward ratio (0.333 for HP versus 0.385 for Disney) and is more likely to fall short of the initial investment under the same circumstances, and is estimated to return only 2% more on average.- Riskese - Index Funds Advisors, Inc. 28 January 2010 0:54 UTC www.ifa.com [Source type: FILTERED WITH BAYES]
^ So with only 3 years of returns data on the S&P 500, the error in the average return is 2.6 times larger than having 20 years of data.- Riskese - Index Funds Advisors, Inc. 28 January 2010 0:54 UTC www.ifa.com [Source type: FILTERED WITH BAYES]
^ Annualized Tracking Error is measured by taking the square root of the average of the squared deviations between the investments returns and the benchmarks returns, then multiplying the result by the square root of 12.- Statistics Used In PerTrac 28 January 2010 0:54 UTC support.pertrac.com [Source type: Academic]
.^ However, over 80 years, the rate of return of the S&P 500 has tended to average in the 10% range plus or minus 20% two-thirds of the time.- Riskese - Index Funds Advisors, Inc. 28 January 2010 0:54 UTC www.ifa.com [Source type: FILTERED WITH BAYES]
^ In this example, The Walt Disney Company is expected to earn about 10%, plus or minus 26% (a range from 36% to -16%), about two-thirds of the future annual returns.- Riskese - Index Funds Advisors, Inc. 28 January 2010 0:54 UTC www.ifa.com [Source type: FILTERED WITH BAYES]
^ When considering more extreme possible returns or outcomes in the future, an investor should expect results of up to 10% plus or minus 78% (3 x one standard deviation), or a range from 88% to -68%, which includes outcomes for three standard deviations from the average return (about 99.7% of probable returns).- Riskese - Index Funds Advisors, Inc. 28 January 2010 0:54 UTC www.ifa.com [Source type: FILTERED WITH BAYES]
.^ Forget about the pooled standard deviation!- Standard Deviation: Formula, Algorithm, Software 28 January 2010 0:54 UTC saliu.com [Source type: FILTERED WITH BAYES]
^ When considering more extreme possible returns or outcomes in the future, an investor should expect results of up to 10% plus or minus 78% (3 x one standard deviation), or a range from 88% to -68%, which includes outcomes for three standard deviations from the average return (about 99.7% of probable returns).- Riskese - Index Funds Advisors, Inc. 28 January 2010 0:54 UTC www.ifa.com [Source type: FILTERED WITH BAYES]
^ Up 2 standard deviations for the day.- Recent "Standard deviation breakout" Alerts 28 January 2010 0:54 UTC www.trade-ideas.com [Source type: General]
.^ If you want to calculate the standard deviation of a certain stock or index, start by calculating the average return (or arithmetic mean) of the security over a given number of periods, like 20 years or more.- Riskese - Index Funds Advisors, Inc. 28 January 2010 0:54 UTC www.ifa.com [Source type: FILTERED WITH BAYES]
^ Put into terms for securities, the average return might be 10% with a standard deviation (68% of the time) of 21%.- Standard Deviation and Monte Carlo 28 January 2010 0:54 UTC efmoody.com [Source type: FILTERED WITH BAYES]
^ Mean reversion is a tendency for certain random variables to remain at or return over time to a long-run average level.- Riskese - Index Funds Advisors, Inc. 28 January 2010 0:54 UTC www.ifa.com [Source type: FILTERED WITH BAYES]
.^ For each year, subtract the average return from the actual return for that year, which will give you the "variances".- Riskese - Index Funds Advisors, Inc. 28 January 2010 0:54 UTC www.ifa.com [Source type: FILTERED WITH BAYES]
^ These results aren't from a historical example, but in terms of expectations, given a standard deviation of (variance is the square of standard deviation, ^2) and an expected average gain of , the expected annualized return is approximately - (^2 ÷ 2).- Standard Deviation and Monte Carlo 28 January 2010 0:54 UTC efmoody.com [Source type: FILTERED WITH BAYES]
^ It is the return generated with the pluses and minuses you might expect 68% of the time over a period of one year.- Standard Deviation and Monte Carlo 28 January 2010 0:54 UTC efmoody.com [Source type: FILTERED WITH BAYES]
.^ Square the variance in each period.- Riskese - Index Funds Advisors, Inc. 28 January 2010 0:54 UTC www.ifa.com [Source type: FILTERED WITH BAYES]
^ Then, we'll calculate mean by using formula A. Next, we can find the difference from the mean for each result, and square that result for the two relevant columns.- Standard deviation Information and Courses from MediaLab, Inc. 28 January 2010 0:54 UTC www.medialabinc.net [Source type: FILTERED WITH BAYES]
^ One way of quantifying this spread is with the standard deviation, which is denoted with s.To calculate the standard deviation, first find for each point, square the results, add them, divide by n-1, and finally take the square root.- Standard deviation Information and Courses from MediaLab, Inc. 28 January 2010 0:54 UTC www.medialabinc.net [Source type: FILTERED WITH BAYES]
.^ The larger the variance in a period, the greater risk the security carries.- Riskese - Index Funds Advisors, Inc. 28 January 2010 0:54 UTC www.ifa.com [Source type: FILTERED WITH BAYES]
^ Larger differences tend to arise at the lower values where the variance in attenuation values is greater (see below).- Hearing protector performance and standard deviation Williams W, Dillon H - Noise Health 28 January 2010 0:54 UTC www.noiseandhealth.org [Source type: Academic]
.^ The variance (sigma squared) is the measurement of the squared deviations.- Standard Deviation: Formula, Algorithm, Software 28 January 2010 0:54 UTC saliu.com [Source type: FILTERED WITH BAYES]
^ The third part examines the interpretation of the results generated by a risk analysis application including investment decision criteria and various measures of risk based on the expected value concept.- Standard Deviation and Monte Carlo 28 January 2010 0:54 UTC efmoody.com [Source type: FILTERED WITH BAYES]
^ The symbol for mean average is the Greek letter MU. The symbol of standard deviation is the Greek letter SIGMA. The variance (sigma square) is the measurement of the squared deviations.- Standard Deviation: Formula, Algorithm, Software 28 January 2010 0:54 UTC saliu.com [Source type: FILTERED WITH BAYES]
.^ In fact, it will be reduced by about half the variance (where variance is the standard deviation squared).- Standard Deviation and Monte Carlo 28 January 2010 0:54 UTC efmoody.com [Source type: FILTERED WITH BAYES]
^ Find the mean and the standard deviation.- Quandaries & Queries at Math Central 28 January 2010 0:54 UTC mathcentral.uregina.ca [Source type: FILTERED WITH BAYES]
- Dilemmes et doutes - Centrale des maths 28 January 2010 0:54 UTC centraledesmaths.uregina.ca [Source type: FILTERED WITH BAYES]
^ The variance (sigma squared) is the measurement of the squared deviations.- Standard Deviation: Formula, Algorithm, Software 28 January 2010 0:54 UTC saliu.com [Source type: FILTERED WITH BAYES]
.^ Because it is 5.92 for the population standard deviation.- How To Calculate Standard Deviation 28 January 2010 0:54 UTC hubpages.com [Source type: FILTERED WITH BAYES]
^ From Shahzada: when and why we use standard deviation in Data analysis?- Quandaries & Queries at Math Central 28 January 2010 0:54 UTC mathcentral.uregina.ca [Source type: FILTERED WITH BAYES]
^ Solve for the standard deviation of the data set.- Quandaries & Queries at Math Central 28 January 2010 0:54 UTC mathcentral.uregina.ca [Source type: FILTERED WITH BAYES]
- Dilemmes et doutes - Centrale des maths 28 January 2010 0:54 UTC centraledesmaths.uregina.ca [Source type: FILTERED WITH BAYES]
For example, the upper Bollinger band is given as:
Geometric interpretation
To gain some geometric insights, we will start with a population of three values,
x_{1},
x_{2},
x_{3}. This defines a point
P = (
x_{1},
x_{2},
x_{3}) in
R^{3}. Consider the line
L = {(
r,
r,
r) :
r in
R}. This is the "main diagonal" going through the origin.
.^ Absolute Value vs. Standard Deviation ?- Quandaries & Queries at Math Central 28 January 2010 0:54 UTC mathcentral.uregina.ca [Source type: FILTERED WITH BAYES]
- Dilemmes et doutes - Centrale des maths 28 January 2010 0:54 UTC centraledesmaths.uregina.ca [Source type: FILTERED WITH BAYES]
^ Range of values for standard deviation .- Quandaries & Queries at Math Central 28 January 2010 0:54 UTC mathcentral.uregina.ca [Source type: FILTERED WITH BAYES]
- Dilemmes et doutes - Centrale des maths 28 January 2010 0:54 UTC centraledesmaths.uregina.ca [Source type: FILTERED WITH BAYES]
^ Expected value and standard deviation .- Quandaries & Queries at Math Central 28 January 2010 0:54 UTC mathcentral.uregina.ca [Source type: FILTERED WITH BAYES]
- Dilemmes et doutes - Centrale des maths 28 January 2010 0:54 UTC centraledesmaths.uregina.ca [Source type: FILTERED WITH BAYES]
.^ Calculate statistics related to the standard deviation: Sums, mean average, and average deviation from the mean.- Standard Deviation: Formula, Algorithm, Software 28 January 2010 0:54 UTC saliu.com [Source type: FILTERED WITH BAYES]
^ This author offers this type of evaluation for statistical data as related to the standard deviation.- Standard Deviation: Formula, Algorithm, Software 28 January 2010 0:54 UTC saliu.com [Source type: FILTERED WITH BAYES]
^ Here is a sample of calculating the standard deviation formula and related statistical parameters.- Standard Deviation: Formula, Algorithm, Software 28 January 2010 0:54 UTC saliu.com [Source type: FILTERED WITH BAYES]
And that is indeed the case. To move orthogonally from
L to the point
P, one begins at the point:
whose coordinates are the mean of the values we started out with.
.^ I think the same can be done for standard deviation as well.- Quandaries & Queries at Math Central 28 January 2010 0:54 UTC mathcentral.uregina.ca [Source type: FILTERED WITH BAYES]
- Dilemmes et doutes - Centrale des maths 28 January 2010 0:54 UTC centraledesmaths.uregina.ca [Source type: FILTERED WITH BAYES]
^ Note that {Standard Deviation of the x's} 2 is the difference between the average of the squares and the square of the average .- Standard Deviation and Risk 28 January 2010 0:54 UTC www.gummy-stuff.org [Source type: FILTERED WITH BAYES]
^ To get the standard deviation, just take the square root of the resulting number .- How To Calculate Standard Deviation 28 January 2010 0:54 UTC hubpages.com [Source type: FILTERED WITH BAYES]
Chebyshev's inequality
.^ Find the mean and the standard deviation.- Quandaries & Queries at Math Central 28 January 2010 0:54 UTC mathcentral.uregina.ca [Source type: FILTERED WITH BAYES]
- Dilemmes et doutes - Centrale des maths 28 January 2010 0:54 UTC centraledesmaths.uregina.ca [Source type: FILTERED WITH BAYES]
^ Comparing means and standard deviations .- Quandaries & Queries at Math Central 28 January 2010 0:54 UTC mathcentral.uregina.ca [Source type: FILTERED WITH BAYES]
- Dilemmes et doutes - Centrale des maths 28 January 2010 0:54 UTC centraledesmaths.uregina.ca [Source type: FILTERED WITH BAYES]
^ In a normal distribution, what percent of data would be more than +/- 3 standard deviations from the mean?- Standard deviation Information and Courses from MediaLab, Inc. 28 January 2010 0:54 UTC www.medialabinc.net [Source type: FILTERED WITH BAYES]
.^ DEFINE risk as the Standard Deviation ...- Standard Deviation and Risk 28 January 2010 0:54 UTC www.gummy-stuff.org [Source type: FILTERED WITH BAYES]
^ Upgrade to FORMULA.EXE: standard deviation, binomial distribution .- Standard Deviation: Formula, Algorithm, Software 28 January 2010 0:54 UTC saliu.com [Source type: FILTERED WITH BAYES]
^ You can download for free and run a standard deviation program (software) to determine normal distribution and binomial deviation formula.- Standard Deviation: Formula, Algorithm, Software 28 January 2010 0:54 UTC saliu.com [Source type: FILTERED WITH BAYES]
- At least 50% of the values are within √2 standard deviations from the mean.
- At least 75% of the values are within 2 standard deviations from the mean.
- At least 89% of the values are within 3 standard deviations from the mean.
- At least 94% of the values are within 4 standard deviations from the mean.
- At least 96% of the values are within 5 standard deviations from the mean.
- At least 97% of the values are within 6 standard deviations from the mean.
And in general:
- At least (1 − 1/k^{2}) × .^ The values necessary for calculating the acceptable ranges are the mean and standard deviation.
- Standard deviation Information and Courses from MediaLab, Inc. 28 January 2010 0:54 UTC www.medialabinc.net [Source type: FILTERED WITH BAYES]
^ Z is expressed in terms of the number of standard deviations from the mean value.- Basic statistics: mean, median, average, standard deviation, z-scores, and p-value - ControlsWiki 28 January 2010 0:54 UTC controls.engin.umich.edu [Source type: Academic]
^ Define a probability distribution by a sequence of control points, then watch how the mean and standard deviation of the distribution change as you move the points.- Mean and Standard Deviation of a Distribution - Wolfram Demonstrations Project 28 January 2010 0:54 UTC demonstrations.wolfram.com [Source type: FILTERED WITH BAYES]
^{[5]}
Rules for normally distributed data
.^ Stephanie Sollow (ProgressiveWorld.net) Rating: 5/5 "One of the highlights of 2002 is Standard Deviation, Electrum's second release.- Net Dot Music, Inc. * Electrum - Standard Deviation * Reviews 28 January 2010 0:54 UTC www.netdotmusic.com [Source type: General]
^ Say we have a reactor with a mean pressure reading of 100 and standard deviation of 7 psig.- Basic statistics: mean, median, average, standard deviation, z-scores, and p-value - ControlsWiki 28 January 2010 0:54 UTC controls.engin.umich.edu [Source type: Academic]
^ In other words, you would prefer a standard deviation of 12% rather than a 10% return with a deviation of 20%.- Standard Deviation and Monte Carlo 28 January 2010 0:54 UTC efmoody.com [Source type: FILTERED WITH BAYES]
.^ In a normal distribution, what percent of data would be more than +/- 3 standard deviations from the mean?- Standard deviation Information and Courses from MediaLab, Inc. 28 January 2010 0:54 UTC www.medialabinc.net [Source type: FILTERED WITH BAYES]
^ Normal Distribution As stated before, the standard deviation is a measure of the spread of a distribution.- Standard deviation Information and Courses from MediaLab, Inc. 28 January 2010 0:54 UTC www.medialabinc.net [Source type: FILTERED WITH BAYES]
^ That is the definition for two standard deviations.- Standard Deviation and Monte Carlo 28 January 2010 0:54 UTC efmoody.com [Source type: FILTERED WITH BAYES]
The two points of the curve which are one standard deviation from the mean are also the
inflection points.
where
μ is the
arithmetic mean of the sample.
.^ How to calculate standard deviation .- How To Calculate Standard Deviation 28 January 2010 0:54 UTC hubpages.com [Source type: FILTERED WITH BAYES]
^ How do i work out the standard deviation from this?- How To Calculate Standard Deviation 28 January 2010 0:54 UTC hubpages.com [Source type: FILTERED WITH BAYES]
^ Normal Distribution As stated before, the standard deviation is a measure of the spread of a distribution.- Standard deviation Information and Courses from MediaLab, Inc. 28 January 2010 0:54 UTC www.medialabinc.net [Source type: FILTERED WITH BAYES]
.^ In a normal distribution, what percent of data would be more than +/- 3 standard deviations from the mean?- Standard deviation Information and Courses from MediaLab, Inc. 28 January 2010 0:54 UTC www.medialabinc.net [Source type: FILTERED WITH BAYES]
^ Table 7 displays the group means, standard deviations and the F-values.- Motives for teaching: percentage, means, standard deviation and rank order 28 January 2010 0:54 UTC www.aare.edu.au [Source type: Academic]
^ Normal Distribution As stated before, the standard deviation is a measure of the spread of a distribution.- Standard deviation Information and Courses from MediaLab, Inc. 28 January 2010 0:54 UTC www.medialabinc.net [Source type: FILTERED WITH BAYES]
.^ Motives for teaching: percentage, means, standard deviation and rank order .- Motives for teaching: percentage, means, standard deviation and rank order 28 January 2010 0:54 UTC www.aare.edu.au [Source type: Academic]
^ Table 7 displays the group means, standard deviations and the F-values.- Motives for teaching: percentage, means, standard deviation and rank order 28 January 2010 0:54 UTC www.aare.edu.au [Source type: Academic]
^ As defined by a Gaussian distribution curve, what percentage of values would be expected to fall within two standard deviations of the mean: .- Standard deviation Information and Courses from MediaLab, Inc. 28 January 2010 0:54 UTC www.medialabinc.net [Source type: FILTERED WITH BAYES]
.^ At 2 sigma (two standard deviations) approximately 95.4% of your data will fall under the curve.- Standard Deviation - Diabetes Daily 28 January 2010 0:54 UTC www.diabetesdaily.com [Source type: General]
^ Most sample data are not normally distributed.- Basic statistics: mean, median, average, standard deviation, z-scores, and p-value - ControlsWiki 28 January 2010 0:54 UTC controls.engin.umich.edu [Source type: Academic]
^ That is the definition for two standard deviations.- Standard Deviation and Monte Carlo 28 January 2010 0:54 UTC efmoody.com [Source type: FILTERED WITH BAYES]
.^ Specifically: 68% of the area of the curve is within the range of μ ± 1σ 95% of the area of the curve is within the range of μ ± 2σ 99% of the area of the curve is within the range of μ ± 3σ Commit these numbers to memory: 68-95-99!- Standard deviation Information and Courses from MediaLab, Inc. 28 January 2010 0:54 UTC www.medialabinc.net [Source type: FILTERED WITH BAYES]
^ Then you can say that 68% of all data from the population will be within 1s of , 95% within 2s, and 99% within 3s.- Standard deviation Information and Courses from MediaLab, Inc. 28 January 2010 0:54 UTC www.medialabinc.net [Source type: FILTERED WITH BAYES]
For various values of
z, the percentage of values expected to lie in and outside the
symmetric confidence interval CI = (−
zσ,
zσ) are as follows:
zσ |
percentage within CI |
percentage outside CI |
ratio outside CI |
1σ |
68.2689492% |
31.7310508% |
1 / 3.1514871 |
1.645σ |
90% |
10% |
1 / 10 |
1.960σ |
95% |
5% |
1 / 20 |
2σ |
95.4499736% |
4.5500264% |
1 / 21.977894 |
2.576σ |
99% |
1% |
1 / 100 |
3σ |
99.7300204% |
0.2699796% |
1 / 370.398 |
3.2906σ |
99.9% |
0.1% |
1 / 1000 |
4σ |
99.993666% |
0.006334% |
1 / 15,788 |
5σ |
99.9999426697% |
0.0000573303% |
1 / 1,744,278 |
6σ |
99.9999998027% |
0.0000001973% |
1 / 506,800,000 |
7σ |
99.999 999 999 7440% |
0.0000000002560% |
1 / 390,600,000,000 |
Relationship between standard deviation and mean
.^ What is the mean, median and mode for this set of data?- Basic statistics: mean, median, average, standard deviation, z-scores, and p-value - ControlsWiki 28 January 2010 0:54 UTC controls.engin.umich.edu [Source type: Academic]
^ Data sets with a small standard deviation have tightly grouped, precise data.- Basic statistics: mean, median, average, standard deviation, z-scores, and p-value - ControlsWiki 28 January 2010 0:54 UTC controls.engin.umich.edu [Source type: Academic]
^ The standard deviation is the average distance between the actual data and the mean.- Basic statistics: mean, median, average, standard deviation, z-scores, and p-value - ControlsWiki 28 January 2010 0:54 UTC controls.engin.umich.edu [Source type: Academic]
.^ For a certain method, a control has a mean result of 12 with a standard deviation of 2.- Standard deviation Information and Courses from MediaLab, Inc. 28 January 2010 0:54 UTC www.medialabinc.net [Source type: FILTERED WITH BAYES]
^ The standard deviation is a statistic calculated from a set of data.- Standard deviation Information and Courses from MediaLab, Inc. 28 January 2010 0:54 UTC www.medialabinc.net [Source type: FILTERED WITH BAYES]
^ The standard deviation is the average distance between the actual data and the mean.- Basic statistics: mean, median, average, standard deviation, z-scores, and p-value - ControlsWiki 28 January 2010 0:54 UTC controls.engin.umich.edu [Source type: Academic]
.^ It is true that the per year average rate of return has a smaller standard deviation for a longer time horizon.- Standard Deviation and Monte Carlo 28 January 2010 0:54 UTC efmoody.com [Source type: FILTERED WITH BAYES]
^ Say we have a reactor with a mean pressure reading of 100 and standard deviation of 7 psig.- Basic statistics: mean, median, average, standard deviation, z-scores, and p-value - ControlsWiki 28 January 2010 0:54 UTC controls.engin.umich.edu [Source type: Academic]
^ In other words, you would prefer a standard deviation of 12% rather than a 10% return with a deviation of 20%.- Standard Deviation and Monte Carlo 28 January 2010 0:54 UTC efmoody.com [Source type: FILTERED WITH BAYES]
The precise statement is the following: suppose
x_{1}, ...,
x_{n} are real numbers and define the function:
.^ Define a probability distribution by a sequence of control points, then watch how the mean and standard deviation of the distribution change as you move the points.- Mean and Standard Deviation of a Distribution - Wolfram Demonstrations Project 28 January 2010 0:54 UTC demonstrations.wolfram.com [Source type: FILTERED WITH BAYES]
^ In fact, it will be reduced by about half the variance (where variance is the standard deviation squared).- Standard Deviation and Monte Carlo 28 January 2010 0:54 UTC efmoody.com [Source type: FILTERED WITH BAYES]
^ Say we have a reactor with a mean pressure reading of 100 and standard deviation of 7 psig.- Basic statistics: mean, median, average, standard deviation, z-scores, and p-value - ControlsWiki 28 January 2010 0:54 UTC controls.engin.umich.edu [Source type: Academic]
.^ We then use the mathematical equations to derive a formal relationship between the input variables and the output variable (in this case the output variable is the fair option premium).- Standard Deviation and Monte Carlo 28 January 2010 0:54 UTC efmoody.com [Source type: FILTERED WITH BAYES]
^ This model of significance testing is very useful and is often applied to a multitude of data to determine if discrepancies are due to chance or actual differences between compared samples of data.- Basic statistics: mean, median, average, standard deviation, z-scores, and p-value - ControlsWiki 28 January 2010 0:54 UTC controls.engin.umich.edu [Source type: Academic]
^ What is the 95% confidence interval for the population mean of each model, and what is the 95% confidence interval for the difference between the means of the two populations?- How To Calculate Standard Deviation 28 January 2010 0:54 UTC hubpages.com [Source type: FILTERED WITH BAYES]
.^ Because it is 5.92 for the population standard deviation.- How To Calculate Standard Deviation 28 January 2010 0:54 UTC hubpages.com [Source type: FILTERED WITH BAYES]
^ No, DC, you are wrong...you found the population standard deviation .- How To Calculate Standard Deviation 28 January 2010 0:54 UTC hubpages.com [Source type: FILTERED WITH BAYES]
^ So, believe it or not, you now know what standard deviation means.- Standard Deviation and Monte Carlo 28 January 2010 0:54 UTC efmoody.com [Source type: FILTERED WITH BAYES]
.^ "The lesson is that one should NOT use the rate of return analysis to compare portfolios of different size.- Standard Deviation and Monte Carlo 28 January 2010 0:54 UTC efmoody.com [Source type: FILTERED WITH BAYES]
^ Statistical methods can be used to determine how reliable and reproducible the temperature measurements are, how much the temperature varies within the data set, what future temperatures of the tank may be, and how confident the engineer can be in the temperature measurements made.- Basic statistics: mean, median, average, standard deviation, z-scores, and p-value - ControlsWiki 28 January 2010 0:54 UTC controls.engin.umich.edu [Source type: Academic]
^ This model of significance testing is very useful and is often applied to a multitude of data to determine if discrepancies are due to chance or actual differences between compared samples of data.- Basic statistics: mean, median, average, standard deviation, z-scores, and p-value - ControlsWiki 28 January 2010 0:54 UTC controls.engin.umich.edu [Source type: Academic]
Worked example
.^ In fact, it will be reduced by about half the variance (where variance is the standard deviation squared).- Standard Deviation and Monte Carlo 28 January 2010 0:54 UTC efmoody.com [Source type: FILTERED WITH BAYES]
^ Table 7 displays the group means, standard deviations and the F-values.- Motives for teaching: percentage, means, standard deviation and rank order 28 January 2010 0:54 UTC www.aare.edu.au [Source type: Academic]
^ The mean scores, standard deviations and the t-values are shown in Table 6.- Motives for teaching: percentage, means, standard deviation and rank order 28 January 2010 0:54 UTC www.aare.edu.au [Source type: Academic]
If the random variable
X takes on
N values
(which are
real numbers) with equal probability, then its standard deviation
σ can be calculated as follows:
.