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Topic: Central tendency


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In the News (Sun 23 Jun 19)

  
  Central tendency - Wikipedia, the free encyclopedia
In statistics, central tendency is an average of a set of measurements, the word average being variously construed as mean, median, or other measure of location, depending on the context.
Central tendency is a descriptive statistic analogous to center of mass in physical terms.
There are several different kinds of calculations for central tendency, the kind of calculation depending on the type of data (level of measurement) for which the central tendency is being calculated.
en.wikipedia.org /wiki/Central_tendency   (313 words)

  
 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)

  
 Comparing Measures of Central Tendency   (Site not responding. Last check: 2007-09-18)
The mode is a measure of central tendency.
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.rice.edu /content/m11011/latest   (2510 words)

  
 ViSta: The Visual Statistics System
The goal in measuring central tendency is to describe a group of individual's scores by a single meaurement that is most representative of all the scores.
Central tendency is a statistical measure that identifies a single score as representative of an entire distribution of scores.
The goal of central tendency is to find the single score that is most typical or most representative of the entire distribution.
forrest.psych.unc.edu /research/vista-frames/help/lecturenotes/lecture03/moments.html   (1226 words)

  
 Measures of Central Tendency   (Site not responding. Last check: 2007-09-18)
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)

  
 Central Tendency Part 1   (Site not responding. Last check: 2007-09-18)
The mean, median, mode, and midrange are commonly used measures of central tendency of a set of data.
Suppose a researcher finds that the central body size for birds in group A is less than the central body size for group B and concludes that smaller birds are more likely to survive a winter storm than larger birds.
Suppose you would like to use a central value such that at least 50% of the numbers are at or below the central value and at least 50% of the numbers are at or above the value.
faculty.frostburg.edu /math/monline/stat/31_p1.html   (1113 words)

  
 STA2023 Statistical Methods I Section 2.1   (Site not responding. Last check: 2007-09-18)
The central tendency of a set of measurements is the tendency of the data to cluster (or center) about certain numerical values.
Median is the best numerical measure for the central tendency if there are several extremely large (or extremely small) measurements in the data set.
Mode should be used to describe the central tendency of a set of qualitative data.
pegasus.cc.ucf.edu /~hyou/2023/sec2.1.htm   (532 words)

  
 Research Methods - Central Tendency in AllPsych Online
There are three measures of central tendency and each one plays a different role in determining where the center of the distribution or the average score lies.
The mean is the preferred measure of central tendency because it is used more frequently in advanced statistical procedures, however, it is also the most susceptible to extreme scores.
The median is another method for determining central tendency and is the preferred method for highly skewed distributions.
allpsych.com /researchmethods/centraltendency.html   (439 words)

  
 Measures of Central Tendency   (Site not responding. Last check: 2007-09-18)
The mode is the least restricted measure of central tendency and is appropriate for use with all levels of measurement.
The mode does not provide as much information as other central tendency statistics, and may not provide the best estimation of a "typical" value.
The median is often the best measure of central tendency in distributions that are asymmetrical (skewed).
www.iejs.com /Research_Methods/measures_of_central_tendency.htm   (437 words)

  
 Central tendency   (Site not responding. Last check: 2007-09-18)
The three common measures of central tendency of a distribution are the
Think of a distribution in terms of an histogram with many bars; a large sample from a normal distribution would describe a bell shaped curve that is symmetrical.
When there is an even number of observations the median is the mean of the two central values.
www.statsdirect.com /help/basic_descriptive_statistics/central.htm   (141 words)

  
 Choosing a measure of central tendency
While the mean is the most frequently used measure of central tendency, it does suffer from one major drawback.
Unlike other measures of central tendency, the mean can be influenced profoundly by one extreme data point (referred to as an "outlier").
For example, suppose one additional respondent answered that he (or she?) had 200 sexual partners last year (!) The inclusion of this person would increase the mean from 1.864 to 2.977.
www.une.edu.au /WebStat/unit_materials/c4_descriptive_statistics/central_tendency_choosing.htm   (366 words)

  
 Measures of Central Tendency   (Site not responding. Last check: 2007-09-18)
This "average" score of all the subjects is called the central tendency.
There are three basic measures of central tendency: the mean (or arithmetic mean), the median, and the mode.
By using the same measure of central tendency to report the average of two or more groups, one can easily compare the average relative performance or results of the groups.
128.146.203.122 /stats/measures.htm   (119 words)

  
 Central Tendency   (Site not responding. Last check: 2007-09-18)
Central tendency is used to summarize a distribution.
When we want to summarize a distribution in terms of its middle value, we use a measure of central tendency.
Central tendency or the 'middle' of the distribution may be evaluated using the mean, median, or mode.
www.ed.uab.edu /epr608/central_tendency.htm   (77 words)

  
 Central Tendency
The mean defines central tendency as the mathematical average of all the scores (a measure that you are very familiar with).
When one is to select a measure of central tendency, the choice is usually between the mean and the median.
To further describe distributions, another statistical measure in addition to a measure of central tendency, is needed to reflect the amount of spread or variability of the scores.
www.pitt.edu /~fass/cent.html   (917 words)

  
 Measures of Average, or Central Tendency (from statistics) --  Britannica Student Encyclopedia   (Site not responding. Last check: 2007-09-18)
A central bank is an institution, such as the Bank of England or the Federal Reserve System of the United States, that provides a number of...
Central Park is the rollerblading mecca of New York City.
The landscape of Central Europe rises from the flatlands along the Baltic coast to the glacial peaks of the Alps.
www.britannica.com /ebi/article-208651?tocId=208651   (868 words)

  
 Glossary - Statistics: Power from Data!
Central tendency can refer to a wide variety of measures such as mean, median and mode.
The most common measure of central tendency, the mean is the arithmetic average of a set of numbers.
The value of the middle item when the data are arranged from lowest to highest; a measure of central tendency.
www.statcan.ca /english/edu/power/glossary/gloss.htm   (6160 words)

  
 Math Forum - Ask Dr. Math   (Site not responding. Last check: 2007-09-18)
Two of the most common characteristics we want to describe about a set of data are its "central tendency" and its "spread." There are three common measures of central tendency; the mean, median and mode.
You are correct in eliminating the range as an option - range (along with variance and standard deviation) is a measure of "spread," or distribution of the data, not central tendency.
My assumption is that the problem was not asked with a right or wrong answer in mind, but rather to see if the student can justify his or her choice.
mathforum.org /dr.math/problems/notesetine.3.25.01.html   (720 words)

  
 1.3 Central Tendency
Collectively, the measures of location are referred to as measures of central tendency.
Measures of central tendency are ubiquitous throughout the medical research literature.
With extremely skewed distributions the mean will be somewhat misleading as a measure of central tendency, because it is heavily influenced by extreme scores.
www.uth.tmc.edu /uth_orgs/educ_dev/oser/L1_3.HTM   (742 words)

  
 Mean (1 of 4)   (Site not responding. Last check: 2007-09-18)
The mean is a good measure of central tendency for roughly symmetric distributions but can be misleading in skewed distributions since it can be greatly influenced by extreme scores.
For normal distributions, the mean is the most efficient and therefore the least subject to sample fluctuations of all measures of central tendency.
The formal definition of the arithmetic mean is µ = E[X] where μ is the population mean of the variable X and E[X] is the expected value of X.
davidmlane.com /hyperstat/A15885.html   (240 words)

  
 Measures of Central Tendency   (Site not responding. Last check: 2007-09-18)
In the previous section we saw that there are several ways to define central tendency.
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.
cnx.rice.edu /content/m11061/latest   (717 words)

  
 Central Tendency
The mean is by far the most commonly used measure of central tendency and for the most part, the most reliable.
In fact, the median is the preferred measure of central tendency only when the scores do not conform to the normal distribution.
Mode: This measure of central tendency is defined as the score that occurs most frequently.
www.montclair.edu /pages/hpperls/juniu/cent.htm   (642 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)

  
 Introduction to Central Tendency   (Site not responding. Last check: 2007-09-18)
One definition of central tendency is the point at which the distribution is in balance.
We are now in position to define a second measure of central tendency, this time in terms of absolute differences.
The target that minimizes the sum of squared differences provides another useful definition of central tendency (the last one to be discussed in this section).
cnx.rice.edu /content/m10942/latest   (3586 words)

  
 Statistics of central tendency
Summarizing data from a measurement variable is more complicated, and requires a number that represents the "middle" of a set of numbers (known as a "statistic of central tendency" or "statistic of location"), along with a measure of the "spread" of the numbers (known as a
The arithmetic mean is by far the most commonly used statistic of central tendency, but you should be aware of the others.
It is the most common statistic of central tendency, and when someone says simply "the mean" or "the average," this is what they mean.
udel.edu /~mcdonald/statcentral.html   (1118 words)

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