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Topic: Interquartile mean

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	Mean - Wikipédia
		The geometric mean is an average which is useful for sets of numbers which are interpreted according to their product and not their sum (as is the case with the arithmetic mean).
		The harmonic mean is an average which is useful for sets of numbers which are defined in relation to some unit, for example speed (distance per unit of time).
		The generalized mean is an abstraction of the Arithmetic, Geometric and Harmonic Means.
	su.wikipedia.org /wiki/Mean (623 words)

	Mean - Wikipedia, the free encyclopedia
		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 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).
	en.wikipedia.org /wiki/Mean (906 words)

	Interquartile mean -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-20)
		The IQM is a (Click link for more info and facts about truncated mean) truncated mean and so is very similar to the scoring method used in sports that are evaluated by a panel of judges: discard the lowest and the highest scores; calculate the mean value of the remaining scores.
		The Interquartile Mean shares some properties from both the (An average of n numbers computed by adding some function of the numbers and dividing by some function of n) mean as well as
		Like the (The value below which 50% of the cases fall) median, the IQM insensitive to (An extreme deviation from the mean) outliers; in the example given, the highest value (38) was an obvious outlier of the dataset, but its value is not used in the calculation of the IQM.
	www.absoluteastronomy.com /encyclopedia/i/in/interquartile_mean.htm (857 words)

	Average article - Average mathematics central tendency arithmetic mean table mathematical - What-Means.com (Site not responding. Last check: 2007-10-20)
		The arithmetic mean may be used to imply that most people's incomes are higher than is in fact the case.
		This "average" (arithmetic mean) income is higher than most people's incomes, because high income outliers skew the result higher (in contrast, the median income "resists" such skew).
		The geometric mean, harmonic mean, generalized mean, weighted mean, truncated mean, and interquartile mean are described in their own articles and in the Mean article.
	www.what-means.com /encyclopedia/Average (481 words)

	Maths Page - Edlington School (Site not responding. Last check: 2007-10-20)
		The mean (or arithmetic mean) of a distribution is found by summing the values of the distribution and dividing by the number of values.
		The mean of a frequency distribution is found by summing the values of the distribution and dividing by the number of values.
		The interquartile range is the difference between the upper quartile and the lower quartile where the lower quartile is the ¼(n + 1)th value and the upper quartile is the ¾(n + 1)th value in the distribution.
	www.edlington.doncaster.sch.uk /maths/handling.htm (1551 words)

	Standard deviation
		The standard deviation of the mean (SD) is the most commonly used measure of the spread of values in a distribution.
		SD is calculated as the square root of the variance (the average squared deviation from the mean).
		Interquartile range is the difference between the 25th and 75th centiles.
	www.statsdirect.com /help/basic_descriptive_statistics/standard_deviation.htm (312 words)

	A
		Interquartile range: is the range for the middle 50% of the observations (scores): Q3 - Q1 Semi-interquartile range: When the interquartile range is used to describe variability, it commonly is transformed into the semi-interquartile range:
		To compute this mean, you first add up the deviation scores and then divide by N. The sum of the deviation scores is always zero.
		When we calculate the mean for a sample the best guess of the mean for the population is the same value.
	www.chsbs.cmich.edu /k_han/psy511/variat.htm (450 words)

	[No title]
		The mean can become very misleading as an estimate of central tendency when the data set includes one or more outliers or very extreme scores because a single extreme score can have such a strong influence on the mean that the mean may misrepresent the real tendency of the group.
		The interquartile mean of a data set is the mean of the middle 50 percent of the members of the set.
		The interquartile range is the difference between the 1st and 3rd quartile scores and is found by subtracting the smaller of the two from the larger.
	www.latech.edu /tech/education/cicciarella/hpe509/stats1.txt (7297 words)

	Measures of Variability (Site not responding. Last check: 2007-10-20)
		Using the mean as the measure of the middle of the distribution, the variance is defined as the average squared difference of the scores from the mean.
		The mean of the squared deviations is 1.5.
		Note that M is the mean of a sample taken from a population with a mean of μ.
	cnx.rice.edu /content/m10947/latest (977 words)

	content (Site not responding. Last check: 2007-10-20)
		The interquartile range is found by dividing a sorted distribution into four contiguous parts, each containing the same number of individuals.
		It is the square root of the variance, which is the sum of squared distances between each datum and the mean, divided by the sample size minus one.
		The mean of the distribution is 13.155, but if we discard the outlier the mean drops to 12.882, and the standard deviations with and without the outlier are 10.923 and 9.793, respectively.
	eksl-www.cs.umass.edu /eis/pages/techniques/dispersion-desc.html (379 words)

	PARALLEL LINE CONSTRUCTION AND EXPLORATION
		Interquartile range: 29 percent points, Mean: 58.375%, Median: 61%.
		Interquartile range: 32 percent points, Mean: 40.143%, Median: 52%.
		The score of zero fell outside the1.5 X IQR criterion for outliers for Period 5; therefore, it was not considered in the plot to keep from skewing the results.
	www.math.montana.edu /mathed/distance/capstone/boothe/dataanalysis.htm (1333 words)

	To test if my secondary evidence is correct and therefor to find if adult men have a higher pulse rate or adult women ...
		As the interquartile range attained from the graph is likely to be less accurate then the interquartile range attained from the raw data I have used the latter.
		The interquartile range obtained from the raw data shows that half of men and half of women have a pulse rate between the lower and upper quartiles.
		The interquartile range is smaller for men and that the middle 50% of the pulse rates measured lie in an interval of 11 for men and an interval of 12 for women.
	www.coursework.info /i/24377.html (1287 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 (1456 words)

	[No title]
		INTERQUARTILE RANGE The interquartile range is the range of the middle 50% of items - from the FIRST QUARTILE (Q1) to the THIRD QUARTILE (Q3) The following information refers to the number of telephone calls to a switchboard each hour for two days.
		MEAN ABSOLUTE DEVIATION The mean absolute deviation is the average deviation of each item from the mean.
		Standard deviation = ((average squared deviation from the mean) _ = (((f(X - X)2 / n) = ((120 / 32) = ((3.75) = 1.94 The average deviation from the mean is 1.94 calls.
	cwis.livjm.ac.uk /bus/busjreed/ae1021/dispers.doc (1479 words)

	JVTE v13n2: TECH PREP PROGRAMS: THE ROLE AND ESSENTIAL ELEMENTS (Site not responding. Last check: 2007-10-20)
		In preparation for the second-round mailing, the mean score, median score, interquartile range, and the individual's score as well as a summary of the comments from the previous round were noted on each participant's questionnaire.
		Therefore, both the median and mean group response scores of the panel were calculated for the desirability scale for each of the Delphi statements.
		Therefore, round three group mean and median response scores of 50.00 or greater on the desirability scale of 0-100 indicate that both the panel of Missouri experts and the national panel judged all 33 items to be desirable.
	scholar.lib.vt.edu /ejournals/JVTE/v13n2/Stewart.html (4202 words)

	Exotic means, standard deviation, etc.
		The mean we’ve looked at so far is known as the arithmetic mean; it functions by adding together the scores, and dividing by the number of scores.
		Weighted means are useful for determining the mean of data that is presented in a relative frequency table.
		The mean of the data is the mean of the values in the table, using the relative frequencies as weights.
	www.sscnet.ucla.edu /ssc/labs/brenner/econ40/sdhandout.htm (1012 words)

	Math 117 – Computer Lab Assignment #3
		mean salary, $38,250 (the mean is pulled up by the income values in the extreme right tail).
		Because the mean is not a reasonable measure of typical salary, the
		The interquartile range, $9,400, is a better measure of spread.
	www.lawrence.edu /fast/jordanj/207paragraph1.html (188 words)

	Essential Research Statistics for the Health and Behavioral Sciences Glossary
		Theses relationships may be causal, meaning that the changes in one variable depend on the changes in another; or they may be correlational, meaning that the variables tend to change at the same time, but there is not necessarily a causal relationship between the two variables.
		Whenever random samples of a given size are taken repeatedly from a population of scores and a statistic (e.g., the mean) is computed for each sample, the distribution of this computed statistic may be constructed.
		Mathematically you compute the z-score by subtracting the mean from the data value and dividing the difference between the data value and the mean by the standard deviation of the distribution.
	www.uth.tmc.edu /uth_orgs/educ_dev/HI5353/LGLOS2_0.HTM (3736 words)

	Behavioral Objectives for PSYC 6430
		Given the mean and variance of distribution A and specification of some linear transformation thereof, find the mean, variance, and standard deviation of the transformed scores.
		Describe how the analysis of data testing a null hypothesis of equality of means would differ from the standard analysis if the population variances were heterogeneous and could not be equalized with nonlinear data transformations.
		Describe the assumptions necessary to use the sample estimated residual variance (mean square error, the square of sample standard error of estimate) as an unbiased estimate of population residual variance (the amount of variance in Y not attributable to X's linear relationship with X).
	core.ecu.edu /psyc/wuenschk/goal6430.htm (3364 words)

	PSYCH 310 (Site not responding. Last check: 2007-10-20)
		7: The distribution of sample means (i.e., sampling distribution), characteristics (notations for the mean and SD of the sampling distribution of the mean and its relation to population mean and standard deviation), standard error (how is this different from the pop.
		Find mean, median, mode, SD, variance, range, skewness, kurtosis and how to interprete these numbers for each variable and for each level of one variable.
		For this, you should use the mean(s) and s’s given in the SPSS output.
	www.csulb.edu /~ycho1/mid1_studyguide.htm (1040 words)

	MEAN FACTS AND INFORMATION
		The arithmetic_mean is the "standard" average, often simply called the "mean".
		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).
		The generalized_mean, also known as the power_mean or HÃ¶lder_mean, is an abstraction of the Arithmetic, Geometric and Harmonic Means.
	www.whereintheworldiskerry.com /?s=Mean (851 words)

	Descriptive Statistics
		In general there is a relationship between the fraction of the included data and the deviation from the mean in terms of standard deviations.
		The average deviation or mean absolute deviation is calculated in a similar manner as standard deviation, except here you subtract the median from each data item producing a list of deviations from the median.
		The result is that the geometric mean is calculated for you and a different kind of standard deviation is produced.
	www.physics.csbsju.edu /stats/descriptive2.html (1632 words)

	Introduction to Statistics: Mean, Median, and Mode (Site not responding. Last check: 2007-10-20)
		The goal of this lesson is to introduce the concepts of mean, median and mode and to develop understanding and familiarity with these ideas.
		The Mean and Median Activity lets students explore mean and median in an efficient way; the Mean, Median and Mode Discussion helps them to formalize their knowledge.
		Lead a discussion, or the instructor can prepare a "live" discussion, to deepen and formalize the students' intuitive understanding of mean, median, and mode.
	www.shodor.org /interactivate/lessons/sm1.html (478 words)

	Statistics (Site not responding. Last check: 2007-10-20)
		In the middle grades, students should learn to use the mean, and continue to use the median and the mode, to describe the center of a set of data.
		Thus, the mean is more likely to be influenced by extreme values, since it is affected by the actual data values, but the median involves only the relative positions of the values.
		Other similar problems can be useful in helping students understand the different sensitivities of the mean and median; for example, the mean is very sensitive to the addition or deletion of one or two extreme data points, whereas the median is far less sensitive to such changes.
	www.orangeusd.k12.ca.us /yorba/statistics.htm (3220 words)

	Mean - TheBestLinks.com - Arithmetic mean, Arithmetic-geometric mean, Central tendency, Cauchy distribution, ...
		Mean - TheBestLinks.com - Arithmetic mean, Arithmetic-geometric mean, Central tendency, Cauchy distribution,...
		Mean, Arithmetic mean, Arithmetic-geometric mean, Central tendency, Cauchy...
		Note that not every probability distribution has a defined mean or variance - see the Cauchy distribution for an example.
	www.thebestlinks.com /Mean.html (780 words)

	[No title] (Site not responding. Last check: 2007-10-20)
		Calculate the first deviation from the mean in column D by entering the formula: =(C11-C$54) in D11.
		The interquartile range and the ratio of the interquartile range to the median can be calculated as parts (ii) of questions 2 and 3 above.
		Subtract the estimated mean from the midpoints in column E by entering the formula, =C11-D$25, in E11 and copying and pasting this formula to E12:E23.
	socserv2.socsci.mcmaster.ca /butterf/2b03/A2GUIDE.F02.htm (2245 words)

	[No title]
		The following is a stemplot (with the stems being in kg) of the birth weights of male babies born in a particular hospital: 2 34 2 6778889 3 2233 3 5789 4 12234 4 5 3 5 556 The median birth weight is: a) 4.0 b) 3.2 c) 3.5 d) 3.3 e) 3.4 2.
		a) mean and standard deviation; skewed to the right b) 5-number summary; skewed to the right c) mean and standard deviation; skewed to the left d) 5-number summary; skewed to the left e) mean and interquartile range; skewed to the right 13.
		The cholesterol levels for a population of men are normally distributed with a mean of 200 and a standard deviation of 25.
	home.cc.umanitoba.ca /~longobar/5.100_midterm_w04.doc (2954 words)

	Measures of Spread (Site not responding. Last check: 2007-10-20)
		The standard deviation or "s" is the appropriate measure of spread when using the mean.
		The interquartile range is the appropriate measure of spread when using the median.
		Find the mean and standard deviation of the following data: 6, 8, 9, 11, 16, using a handheld calculator.
	www.unca.edu /math/OnLine/Stat185/Lessons/L_DS_Spread.html (298 words)

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