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For the weighted mean of a list of data for which each element comes from a different probability distribution with known variance, one possible choice for the weights is given by:
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For a probability distribution, the mean is equal to the sum or integral over every possible value weighted by the probability of that value.
For such normalized weights the weighted mean is simply
For uncorrelated observations with standard deviations, the weighted sample mean has standard deviation
For example, if values are drawn from the same distribution, then we can treat this set as an unweighted sample, or we can treat it as the weighted sample with corresponding weights, and we should get the same results.
For example, consider the weighted mean of the point 0 with high variance in the second component and 1 with high variance in the first component.
For the purposes of comparing routes, these are combined together in a weighted formula to produce a single overall metric:
For first generation pressure cookers with a weighted valve or " jiggler ", the primary safety valve or regulator is usually a weighted stopper, commonly called " the rocker " or " vent weight ".
For each semester, the students are graded by taking a weighted average from all the courses with their respective credit points.
For some of these lower level indexes detailed reweighing to make them be available, allowing computations where the individual price observations can all be weighted.
For instance, the CBOE Volatility Index ( VIX ) is calculated from a weighted average of implied volatilities of various options on the S & P 500 Index.
For larger vessels, heavy mooring lines are often passed to the people on the shore by use of smaller, weighted heaving lines.
For commercial dry suit divers who must work on the sea bottom or on an underwater platform ( such as under an oil platform ), the dry suit may be fitted with heavy metal boots to keep the diver firmly weighted down.
For each semester, the students are graded by taking a weighted average from all the courses with their respective credit points.
For example, THD is an average of a number of harmonics equally weighted, even though research performed decades ago identifies that lower order harmonics are harder to hear at the same level, compared with higher order ones.
For example, valuation of inventories using LIFO instead of weighted average method.
* ( orthogonality ) For fixed r, the polynomial sequence P, P, P, ... are orthogonal, weighted by.
For most of the novel she is seen only in the regular correspondence which the two sustain since her return to New York, a correspondence heavily weighted with sexual analysis on the part of Myrna and contempt for her apparent sacrilegious activity by Ignatius.
For the man, the weighted foot is the right foot / leg ; for the woman it is the left.
For a discrete-time FIR filter, the output is a weighted sum of the current and a finite number of previous values of the input.
For each possible event, the change in utility ln ( wealth after the event )-ln ( wealth before the event ) will be weighted by the probability of that event occurring.
For a set of all-positive fixed cash flows the weighted average will fall between 0 ( the minimum time ), or more precisely ( the time to the first payment ) and the time of the final cash flow.
For instance, a couple that has spent many years together have invested a lot of time into a relationship, and this must be weighted against the benefits gained from an alternative relationships.
For many uses a heavy roller is used, and rollers may be weighted in different ways.
For and mean
For the boy, this epiphysis was markedly delayed at Onset but near the mean at Completion.
For hotels with 1000 rooms, the increased license fee would mean an expense of $5000 a year, Goodis said.
* For a normal distribution, the arithmetic mean is equal to both the median and the mode, other measures of central tendency.
For example, " biweekly " can mean " fortnightly " ( once every two weeks – 26 times a year ), or " twice a week " ( 104 times a year ).
For a particularly robust two-pass algorithm for computing the variance, first compute and subtract an estimate of the mean, and then use this algorithm on the residuals.
For example, there are more than six signs for birthday in ASL, just as in English one can say couch and sofa, or soda and pop, to mean the same thing.
For the late 19th century the music publishing industry found a market for what are often termed sentimental ballads, and these are the origin of the modern use of the term ballad to mean a slow love song.
For example, ' 30 ' was widely used in journalism to mean " end of story ", and has been used in other contexts to signify " the end ".
For some individuals, an obsessive compulsion to believe, prove, or re-tell a conspiracy theory may indicate one or a combination of well-understood psychological conditions, and other hypothetical ones: paranoia, denial, schizophrenia, mean world syndrome.
For clarity it should be stated that SDA understanding of Soul is not that of Calvin, by " soul " SDA theologians mean the physical person ( monism ), and that no component of human nature survives death, therefore each human will be " re_created " at resurrection.
For a certain class of Green functions coming from solutions of integral equations, Schmidt had shown that a property analogous to the Arzelà – Ascoli theorem held in the sense of mean convergence — or convergence in what would later be dubbed a Hilbert space.
For example, if n samples are taken from a Cauchy distribution, one may calculate the sample mean as:
Other, more precise and robust methods have been developed For example, the truncated mean of the middle 24 % of the sample order statistics produces an estimate for x < sub > 0 </ sub > that is more efficient than using either the sample median or the full sample mean.
For this reason, the task of orthodox Marxism, its victory over Revisionism and utopianism can never mean the defeat, once and for all, of false tendencies.
For example, Wielkanoc, Veľká noc, Velika noč and Velikonoce mean " Great Night " or " Great Nights " in Polish, Slovak, Slovenian and Czech, respectively.
For example, the B < sup > 0 </ sup > meson has a lifetime of 1. 530 ( 9 ) picoseconds, mean decay length is, or a decay width of.
For the Greeks Autokratōr was not a military title, and was closer to the Latin dictator concept (" the one with unlimited power "), before it came to mean Emperor.
For, the state may have the power to put a fatwā in effect, but that does not mean that the fatwā is to be religiously accepted by all.
For example, the geometric mean can give a meaningful " average " to compare two companies which are each rated at 0 to 5 for their environmental sustainability, and are rated at 0 to 100 for their financial viability.
For instance, the geometric mean of two numbers, say 2 and 8, is just the square root of their product ; that is.
For all positive data sets containing at least one pair of unequal values, the harmonic mean is always the least of the three means, while the arithmetic mean is always the greatest of the three and the geometric mean is always in between ( see Inequality of arithmetic and geometric means.
For example, the geometric mean of 2 and 8 can be calculated as:
0.151 seconds.