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# Topic: Arithmetic mean

 NationMaster - Encyclopedia: Central tendency   (Site not responding. Last check: 2007-11-05) Arithmetic mean - the sum of all measurements divided by the number of observations in the data set Midrange - the arithmetic mean of the highest and lowest values of the data or distribution. In mathematics and statistics, the arithmetic mean of a set of numbers is the sum of all the members of the set divided by the number of items in the set (cardinality). www.nationmaster.com /encyclopedia/Central-tendency   (1222 words)

 PlanetMath: arithmetic mean The arithmetic mean is what is commonly called the average of the numbers. See Also: geometric mean, harmonic mean, arithmetic-geometric-harmonic means inequality, general means inequality, weighted power mean, power mean, geometric distribution, root-mean-square, proof of general means inequality, proof of arithmetic-geometric-harmonic means inequality, derivation of geometric mean as the limit of the power mean, mean, a prime theorem of a convergent sequence This is version 8 of arithmetic mean, born on 2001-10-20, modified 2006-11-11. planetmath.org /encyclopedia/ArithmeticMean.html   (181 words)

 Spartanburg SC | GoUpstate.com | Spartanburg Herald-Journal In mathematics and statistics, the arithmetic mean (or simply the mean) of a list of numbers is the sum of all the members of the list divided by the number of items in the list. The arithmetic mean is greatly influenced by outliers. The arithmetic mean of those rises is 10 %, but since the stock rose by \$5.1 in 2 years, an average of 8.2 % would result in the final \$35.1 figure %)(1+30 %) = \$30(1+8.2 %)(1+8.2 %) = \$35.1. www.goupstate.com /apps/pbcs.dll/section?category=NEWS&template=wiki&text=arithmetic_mean   (834 words)

 Mean - Psychology Wiki - a Wikia wiki Sample mean is often used as an estimator of the central tendency such as the population mean. The mean is the arithmetic average of a set of values, or distribution; however, for skewed distributions, the mean is not necessarily the same as the middle value (median), or most likely (mode). The geometric mean is an average that is useful for sets of numbers that are interpreted according to their product and not their sum (as is the case with the arithmetic mean). psychology.wikia.com /wiki/Mean   (1221 words)

 arithmetic - Search Results - MSN Encarta Arithmetic, branch of mathematics that arises from counting, the most basic mathematical operation. Arithmetic Progression, sequence of numbers that increase or diminish by a common difference so that any number in the sequence is the arithmetic... Mean (mathematics), also known as the arithmetic mean, a value that helps summarize an entire set of numbers. encarta.msn.com /encnet/refpages/search.aspx?q=arithmetic   (151 words)

 arithmetic - Search Results - MSN Encarta Arithmetic, branch of mathematics that arises from counting, the most basic mathematical operation. Arithmetic Progression, sequence of numbers that increase or diminish by a common difference so that any number in the sequence is the arithmetic... Mean (mathematics), also known as the arithmetic mean, a value that helps summarize an entire set of numbers. ca.encarta.msn.com /arithmetic.html   (136 words)

 Arithmetic mean - Definition, explanation In mathematics and statistics, the arithmetic mean of a set of numbers is the sum of all the members of the set divided by the number of items in the set. The mean may be conceived of as an estimate of the median. The symbol μ (Greek: mu) is used to denote the arithmetic mean of a population. www.calsky.com /lexikon/en/txt/a/ar/arithmetic_mean_1.php   (463 words)

 Arithmetic vs. Geometric Mean The arithmetic standard deviation is a quantity.  Multiples of that quantity are added to (or subtracted from) the arithmetic mean to determine the set of values that lie within a given range of dispersion.  To determine the value that lies n standard deviations from the mean, we must multiply the arithmetic standard deviation by n. The arithmetic mean and arithmetic standard deviation are sum-based values.  As such, they are appropriate for additive processes.  But earnings growth is not additive; it is multiplicative.  The appropriate measures for EPS growth factors are the geometric mean and geometric standard deviation, which are product-based values. The arithmetic mean of these factors is 1.2584, implying that EPS grew at an average annual rate of 25.84%.  Had that been so, the first EPS, \$0.32, would have grown into \$2.53 in the last year—which, of course, it did not. www.thinkingapplied.com /means_folder/deceptive_means.htm   (1949 words)

 Mean (1 of 4)   (Site not responding. Last check: 2007-11-05) The arithmetic mean is what is commonly called the average: When the word "mean" is used without a modifier, it can be assumed that it refers to the arithmetic mean. The mean is the sum of all the scores divided by the number of scores. For normal distributions, the mean is the most efficient and therefore the least subject to sample fluctuations of all measures of central tendency. davidmlane.com /hyperstat/A15885.html   (237 words)

 PlanetMath: complex arithmetic-geometric mean As in the real case, we will define sequences of geometric and arithmetic means recursively and show that they converge to the same limit. Finally, we consider the ratios of the moduli of the arithmetic and geometric means. This is version 12 of complex arithmetic-geometric mean, born on 2007-05-28, modified 2007-05-28. planetmath.org /encyclopedia/ComplexArithmeticGeometricMean.html   (306 words)

 mean@Everything2.com In statistics, one type of average, also known as arithmetic mean (to differentiate it from geometric mean). In any numerical sample, the (arithmetic) mean is derived by dividing the sum by the number of members in the sample. That which is mean, or intermediate, between two extremes of place, time, or number; the middle point or place; middle rate or degree; mediocrity; medium; absence of extremes or excess; moderation; measure. www.everything2.com /index.pl?node=mean   (1008 words)

 Arithmetic mean Summary The arithmetic mean, or as it is sometimes referred to, the average of a data set, is the sum of all data values divided by the number of items in the set. An example of finding an arithmetic mean using a particular data set is as follows: in the set 1, 2, 5, 10, 12, 14, 16, 17, 20 the mean is calculated as 1 + 2 + 5 + 10 + 12 + 14 + 16 + 17 + 20 ÷ 9 = 10.8. The arithmetic mean of those rises is 10%, but since the stock rose by \$5.1 in 2 years, an average of 8.1% would result in the final \$35.1 figure [\$30(1-10%)(1+30%) = \$30(1+8.1%)(1+8.1%) = \$35.1]. www.bookrags.com /Arithmetic_mean   (1013 words)

 Aquarius Engineering template Suppose for the moment that Km is the arithmetic mean, Ka = (kr0+kr2)/2, and that kml = (kr0+kr1)/2 and kmu = (kr1+kr2)/2, and that the homogenous porous medium in Figure 1 is characterized by the pressure-conductivity relation in [6]. 1)), kml = (kr0+kr1)/2, kmu = (kr1+kr2)/2, Km = (kr0+kr2)/2 and the mean of means is 2·kml·kmu/(kml+kmu), the right-hand-side of equation [3]. The arithmetic mean model also develops severe oscillations in the peak of the pulse, producing many non-physical peaks that are consistent with the concept of mass clumping due to a differential error in hydraulic conductivity between wet-over-dry and dry-over-wet conditions. www.aquarien.com /deibnd/deibnda3.html   (4363 words)

 The Super-Symmetric Mean The Holder mean M_k() is defined by the above formula with f(x)=x^k, from which it follows that M_1() is the Arithmetic mean, M_-1() is the Harmonic mean, M_2() is the root-sum-square, and the limit of M_k() as k goes to infinity is the Geometric mean. However, these means are all just (in a sense) weighted version of a single prototype, and don't seem to capture the essence of the desired generalization of the AGM. To illustrate on a simple example, Figure 1 shows how the arithmetic and geometric means of the numbers 3 and 15 are related to the two polynomials that match the value and the derivative of the function f(x)=(x-3)(x-15) respectively at x=0. www.mathpages.com /home/kmath461.htm   (768 words)

 Geometric mean arithmetic mean or means calculate center frequeny calculation average numbers bandwidth - sengpielaudio The geometric mean of two numbers is the square root of their product. The geometric mean of three numbers is the cubic root of their product. The arithmetic mean is the sum of the numbers, divided by the quantity of the numbers. www.sengpielaudio.com /calculator-geommean.htm   (207 words)

 Statistics of central tendency The arithmetic mean is by far the most commonly used statistic of central tendency, but you should be aware of the others. Arithmetic mean: The arithmetic mean is the sum of the observations divided by the number of observations. The geometric mean is slightly smaller than the arithmetic mean; unless the data are highly skewed, the difference between the arithmetic and geometric means is small. udel.edu /~mcdonald/statcentral.html   (1437 words)

 Arithmetic Mean, Harmonic Mean, Combined Average, Geometric Mean The average would simply be the regular arithmetic mean (x1 + x2 + x3)/3 = 1,400 Kchars per 180 seconds or you could convert it to a more meaningful 7.78 Kcharacters/sec. What this all means is that if the different samples intuitively should not have the same weights, yet the numerators are all the same, they should be considered as a fixed numerator over a varying denominator. The geometric mean is used in cases where the numbers are effectively multipliers rather than having an additive effect. home.comcast.net /~b.giese/dc_mean.html   (1135 words)

 How to Calculate Geometric Means A geometric mean, unlike an arithmetic mean, tends to dampen the effect of very high or low values, which might bias the mean if a straight average (arithmetic mean) were calculated. This is because when evaluating investment returns and fluctuating interest rates, it is the geometric mean, not the arithmetic mean, that tells you what the average financial rate of return would have had to have been over the entire investment period to achieve the end result. For example, to calculate the geometric mean of the values +12%, -8%, and +2%, instead calculate the geometric mean of their decimal multiplier equivalents of 1.12, 0.92, and 1.02, to compute a geometric mean of 1.0167. www.buzzardsbay.org /geomean.htm   (3107 words)

 [No title]   (Site not responding. Last check: 2007-11-05) When using the arithmetic mean to calculate the mean of a population one makes the assumption that the arithmetic mean is a valid estimate of the central location of a distribution, which is not always true. The number needed to treat summarises, by means of a single number, the results of a therapeutic trial in the same way that the arithmetic mean of a variable summarises all the measurements performed on each individual of the sample. Nevertheless, the arithmetic mean is only the most probable value of a population (provided the variable is normally distributed) and is not the value observed in every individual. www.lycos.com /info/arithmetic-mean.html   (359 words)

 Arithmetic mean The arithmetic mean or simple average is calculated by adding up all the numbers whose average is needed, and dividing the aggregate by the number of numbers. For example, the arithmetic mean of 4,8 and 16 is (4+8+16) ÷3 = 9.3. The arithmetic mean is simple to calculate, and for many purposes it is the most suitable alternative. moneyterms.co.uk /arithmeticmean   (83 words)

 arithmetic mean@Everything2.com A convex combination, the arithmetic mean is always somewhere between the largest and smallest elements. In simpler terms, the arithmetic means are the terms between any nonconsecutive terms in an arithmetic sequence. physical proof that the arithmetic mean is at least as large as the harmonic mean www.everything2.com /index.pl?node=arithmetic%20mean   (187 words)

 BIOL 4120 Effective Population Size This means that we can't compare the effect of genetic drift in different populations unless they both have the same sex ratio. As you can see, the arithmetic mean once again over estimates the effective population size over this time period and under estimates the importance of genetic drift. You should graph the arithmetic mean and effective population size versus the number of bad years to get a feel for how these two things relate to one another. www.tnstate.edu /ganter/B412%20Extra%20EffectPopSize.html   (783 words)

 Pythagorean Means The arithmetic mean of two numbers exceeds the smaller number by the same as the larger number exceeds the mean.   I.e., A is the arithmetic mean of a and b, a For example, 15 is the arithmetic mean of 12 and 18 since  15 Equivalently, in our modern definition, G is the geometric mean of a and b if the ratio of the first number to the geometric mean is the same as the ratio of the mean to the second, or a:G = G:b.  I.e., www.southernct.edu /~gingrich/MAT3002003/pythagoreanmeans.html   (141 words)

 Math Forum - Ask Dr. Math   (Site not responding. Last check: 2007-11-05) Here we cannot use the arithmetic mean and say that the average growth was 3%. Note: The mean growth rate comes out to (1.029992 - 1) * 100% = 2.9992% which is very close to the arithmetic mean (as seen in Dr. Floor's answer: compare \$109,270,125 to \$109,272,700). The log of the geometric mean of a set of numbers is the arithmetic mean of the logs of the numbers: log((abc)^(1/3)) = (1/3)log(abc) = (1/3)(log(a)+log(b)+log(c)) Thus you can find the geometric mean by taking the logs of your data, finding the arithmetic mean, then taking the antilog (exponential) of the mean. www.mathforum.com /library/drmath/view/52804.html   (646 words)

 Math Mean To find the mean of n numbers, we divide the sum of the n numbers by n. We found the sum given the mean and the number of items in the data set. The mean of 5 hourly wages is \$5.95. www.mathgoodies.com /lessons/vol8/advanced_mean.html   (711 words)

 Descriptive Statistics The mean is higher than the median in positively (right) skewed distributions and lower than the median in negatively (left) skewed distributions. the geometric mean of the scores: 1, 2, 3, and 4 is the 4th root of 1 * 2 * 3 * 4 which is the 4th root of 24 = 2.21. The geometric mean is less affected by extreme values than the arithmetic mean and is useful for some positively skewed distributions. www-micro.msb.le.ac.uk /1010/1011-18.html   (1464 words)

 Means The term "mean" in mathematics simply reflects a specific relationship of one number as the middle point of two extremes. The arithmetic mean of 2 and 6 is 4, as 4 is equally distant between the two in addition: The arithmetic mean is thus the simple average between two numbers. goldennumber.net /means.htm   (313 words)

 [No title]   (Site not responding. Last check: 2007-11-05) Results are presented as arithmetic mean±S.E.M. The peristaltic inhibitory effect of the agonists was expressed as a percentage of the contraction rate present before addition of the agonists. A standard arithmetic mean function was used to combine the individual growth index series into a mean growth index series for each sample group. For the transcriptome analysis, arithmetic mean and standard deviation calculated from the four expression level ratios per gene and condition are given. www.lycos.com /info/arithmetic-mean--miscellaneous.html   (484 words)

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