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Topic: Measures of central tendency

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	Measures of Central Tendency: Mean, Median & Mode
		Notice that not all measures of central tendency are appropriate for all kinds of variables.
		The rule is that, as the symmetry of a distribution increases, the three measures of central tendency converge on the same value.
		As the asymmetry or skewness of a distribution increases, the three measures of central tendency diverge systematically.
	simon.cs.vt.edu /SoSci/Site/MMM/mmm.html (1170 words)

	Measures of Central Tendency (Site not responding. Last check: 2007-10-26)
		The function of the central purpose of descriptive statistic is to summarize or “reduce” data.
		For the good and honest researcher, the selection of a measure of central tendency for a badly skewed distribution will hinge on what he or she wishes to show and, in most cases, either both statistics or the median alone should be reported.
		Measures of central tendency: statistics that summarize a distribution of score by reporting the most typical or representative value of the distribution.
	www.public.asu.edu /~jwang2/portfolio/statistics/chapter3/central.htm (1237 words)

	Comparing Measures of Central Tendency (Site not responding. Last check: 2007-10-26)
		One of the four basic levels of measurement, a ratio scale is a numerical scale with a true zero point and in which a given size interval has the same interpretation for the entire scale.
		The trimean is a measure of central tendency; it is a weighted average of the 25th, 50th, and 75th percentiles.
		The trimmed mean is a measure of central tendency generally falling between the mean and the median.
	cnx.org /content/m11011/latest (2510 words)

	Measures of Central Tendency (Site not responding. Last check: 2007-10-26)
		A Measure of Central Tendency is a parameter that represents the "middle" of a population.
		A measure of central tendancy is often regarded as the one value that best characterises, summarises, or describes a population or sample.
		MEDIAN: A measure of central tendency determined as the least data value such that 50% of all values in the sample, or population, are less than or equal to it.
	web.uvic.ca /~ling48x/ling483/tendency.html (239 words)

	Number 2 Pencil: Statistics Term of the Day - Measures of Central Tendency
		Measures of central tendency are one kind of descriptive statistics (measures that describe or summarize a distribution of scores.) Any measure of central tendency identifies a single score as something that is representative of the entire distribution.
		Needless to say, the correct measure of central tendency - the one that is most likely to give you a representative score - will depend on the type of data and the shape of the distribution.
		Last but not least - be suspicious when the wrong central tendency measure is used (mean income of a group and median income of a group could be very different), and be very wary of measures of central tendency that are provided in the absence of measures of spread (that's tomorrow's term).
	www.kimberlyswygert.com /archives/002740.html (1415 words)

	Measures of Central Tendency (Site not responding. Last check: 2007-10-26)
		This section defines the three most common measures of central tendency: the mean, the median, and the mode.
		The relationships between these measures of central tendency and the definitions given in the previous section will probably not be obvious to you.
		With continuous data such as response time measured to many decimals, the frequency of each value is one since no two scores will be exactly the same (see discussion of continuous variables).
	cnx.org /content/m11061/latest (717 words)

	Measures of Central Tendency
		Central tendency refers to the middle point of a distribution.
		The most commonly used measure of the central tendency is the arithmetic mean or simple average.
		A major disadvantage of this measure is its sensitivity to departure from symmetry between the left and right extremes of the distribution.
	www.unesco.org /webworld/idams/advguide/Chapt3_1_1.htm (355 words)

	Summary measures of central tendency
		Thus, the median is a preferred measure of central tendency for family income.
		But in general, the mean is the most important measure of central tendency in statistics -- for a technical reason: the mean is the number which has the smallest squared distance from all other numbers in the distribution.
		Measures of central tendency are useful, but statistics actually relies more on the other type of summary statistics: measures of dispersion (variation).
	www.janda.org /c10/Lectures/topic03/L10-averages/averages.htm (394 words)

	3.3. Measures of location (or measures of central tendency) (Site not responding. Last check: 2007-10-26)
		The mode is not used as often to measure central tendency as are the mean and the median.
		In general, for a data set 3 measures of central tendency: the mean, the median and the mode are different.
		The geometric mean is appropriate to use whenever we need to measure the average rate of change (the growth rate) over a period of time.
	www.netnam.vn /unescocourse/statistics/33.htm (825 words)

	Central tendency (Site not responding. Last check: 2007-10-26)
		Measures of central tendency are measures of the location of the middle or the center of a distribution.
		The definition of "middle" or "center" is purposely left somewhat vague so that the term "central tendency" can refer to a wide variety of measures.
		The mean is the most commonly used measure of central tendency.
	davidmlane.com /hyperstat/A39322.html (74 words)

	Measures of Central Tendency
		To obtain a better understanding of what is considered normal, other measures of central tendency such as the median, the trimmed mean, and the trimean may be utilized in addition to the mean.
		A measure that incorporates characteristics of the mean and the median.
		Some additional functions associated with central tendency, along with corresponding examples, are located in the basic Tutorial (e.g., box average, running average).
	iridl.ldeo.columbia.edu /dochelp/StatTutorial/MCT (2828 words)

	Grade 8 Measures of Central Tendency
		calculate three measures of central tendency of data: the mean, the median, and the mode.
		central tendency - point within the range about which the rest of the data is considered balanced.
		The three common measures of central tendency are mean, median and mode.
	argyll.epsb.ca /jreed/math8/strand4/4104.htm (1282 words)

	Standard Deviation (Site not responding. Last check: 2007-10-26)
		Measures of Central Tendency, Mode, Median and Mean, and their Corresponding Measures of Spread
		For example, the May QPE scores for Internal Medicine indicated that the score 26.2 was obtained by eight students in the Year 2 class.
		Or, put in other terms, the mean is the sum of measures observed divided by the number of observations.
	www.med.umkc.edu /tlwbiostats/variability.html (412 words)

	Measures of Central Tendency
		In a group of three students, brainstorm as many different measures of central tendency as you can come up with.
		If you come up with an uncommon measure, give it a name that you think makes sense, based on what it is or what it does.
		A common problem related to measures of central tendency is how to use n to find the rank of the median.
	hs.riverdale.k12.or.us /~dthompso/homework/mct.html (625 words)

	Measures of Central Tendency
		Such a number is called a measure of central tendency.
		There are three such measures which are commonly used by researchers: mean, median and mode.
		Researchers prefer the median to the mean as a measure of central tendency when there are a few extreme scores in the data set.
	www.ccny.cuny.edu /bbpsy/modules/measures_centr_tend.htm (390 words)

	The Central limit theorem (Site not responding. Last check: 2007-10-26)
		The central limit theorem is one of the most remarkable results of the theory of probability.
		By the central limit theorem, the distribution of the total number of heads will be, to a very high degree of approximation, normal.
		A suggested explanation is that these phenomena are sums of a large number of independent random effects and hence are approximately normally distributed by the central limit theorem.
	www.berrie.dds.nl /clt.html (350 words)

	Central Tendency & Variability (Site not responding. Last check: 2007-10-26)
		Central Tendency: A measure of central tendency locates the middle or center of a distribution.
		Measures of central tendency should be determined directly from the raw data.
		When you need a central score for a continuous variable use the mean if the distribution is symmetrical, use the median if the distribution is skewed.
	www.geolog.com /msmnt/mctv.htm (703 words)

	Summary of measures of central tendency (1 of 2) (Site not responding. Last check: 2007-10-26)
		Of the five measures of central tendency discussed, the mean is by far the most widely used.
		It takes every score into account, is the most efficient measure of central tendency for normal distributions and is mathematically tractable making it possible for statisticians to develop statistical procedures for drawing inferences about means.
		On the other hand, the mean is not appropriate for highly skewed distributions and is less efficient than other measures of central tendency when extreme scores are possible.
	davidmlane.com /hyperstat/A5185.html (195 words)

	Additional Measures of Central Tendency (Site not responding. Last check: 2007-10-26)
		Although the mean, median, and mode are by far the most commonly used measures of central tendency, they are by no means the only measures.
		This section defines three additional measures of central tendency: the trimean, the geometric mean, and the trimmed mean.
		These measures will be discussed again in the section Comparing Measures of Central Tendency.
	cnx.org /content/m11167/latest (539 words)

	Measures of Central Tendency (Site not responding. Last check: 2007-10-26)
		Resistant measures: One that is not influenced by extremely high or less data values.
		If the mean is measured using the whole population then this would be the population mean.
		To capture the spread of the data we use a measure related to the average distance of the data from the mean.
	www.comfsm.fm /~dleeling/statistics/notes003.html (790 words)

	RESEARCH METHODS HANDBOOK
		It is especially useful as a measure of central tendency when there are very extreme scores in the distribution, such as would be the case if we had someone in the age distribution provided below who was 120.
		The mean is the most often used measure of central tendency.
		It has two properties: 1) the sum of the deviations of the individual scores (Xi) from the mean is zero, 2) the sum of squared deviations from the mean is smaller than what can be obtained from any other value created to represent the central tendency of the distribution.
	www.acastat.com /Handbook/5.html (345 words)

	Psych. Statistics: Central Tendency & Variability
		In addition to describing the form or shape of a distribution, it is also necessary to describe central tendency and variability (or spread).
		Notice that the central tendency and range of the two distributions are the same.
		However, while Distributions A and B have the same measures of central tendency and the same range, they differ in their variability.
	www.uwsp.edu /psych/stat/5/CT-Var.htm (1242 words)

	Descriptive Statistics: Measures of Central Tendency (Site not responding. Last check: 2007-10-26)
		We have discussed measures of central tendency, now we need measures to describe the degree to which observations:
		A measure of variability that is the distance from the lowest score to the highest score
		An approximate measure of the average deviation of the observations from the mean
	people.ku.edu /~mvitevit/VAR.HTML (191 words)

	Central Tendency Measures (Site not responding. Last check: 2007-10-26)
		Central tendency measures tell us what is a typical score in a distribution.
		Which central tendency measure you can use depends on the level of measurement your scores represent:
		The rule of thumb is that if you have at least five ordered categories and there is no reason to believe that these categories are not evenly spaced, you can treat them as interval variables.
	weber.ucsd.edu /~aronatas/ct.html (107 words)

	SurfStat.australia
		A measure of central tendency is a number which indicates the middle of the distribution of data values.
		The three main measures are the median, the mode and the mean.
		In many situations the median is a better description of central tendency (e.g.
	www.anu.edu.au /nceph/surfstat/surfstat-home/1-2-2.html (572 words)

	Central tendency (Signifying Nothing: Tell 'em about it, Joe-Joe!) (Site not responding. Last check: 2007-10-26)
		The “median” is the number you’d find if you sorted all of the observations and took the middle one; if there are an even number of observations, you take the two observations closest to the middle and take the mean of them.
		Statisticians call averages “measures of central tendency,” because they like to use complex terms for simple concepts.
		(Another measure of central tendency is the “mode”; it is the observation that is most frequently observed.)
	blog.lordsutch.com /?entryid=1317 (438 words)

	Answer-Measures of Central Tendency 2 (Site not responding. Last check: 2007-10-26)
		In this case, either the median or mode would be far more representative measures of typical income in Ruritania.
		This question highlights one problem with the mean … it can be distorted by extremely high (or extremely low) values in distributions.
		So the selection of your measures of central tendency will be partly determined by the "shape" of a distribution of data set.
	www.nipissingu.ca /faculty/davidh/dhhome/davtes7a.htm (71 words)

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