In descriptive statistics , the interquartilerange IQR , also called the midspread or middle fifty , is a measure of statistical dispersion , being equal to the difference between the upper and lower quartile s. ref cite book title Understanding Statistics authors Graham Upton and Ian Cook year 1996 publisher Oxford University Press isbn 0199143919 page 55 url http books.google.com books?id vXzWG09 SzAC&pg PA55&dq interquartilerange v onepage&q interquartile 20range&f false ref IQR Q sub 3 sub Q sub 1 sub Use Unlike total range statistics range , the interquartilerange is a robust statistic , having a breakdown point of 25 , and is thus often preferred to the total range. The IQR is used to build box plot s, simple graphical representations of a probability distribution . For a symmetric distribution where the median equals the midhinge , the average of the first and third quartiles , half the IQR equals the median absolute deviation MAD . The median is the corresponding measure of central tendency . Examples Image Boxplot vs PDF.svg 250px thumb Boxplot with an interquartilerange ... 8 112 9 115 Q sub 3 sub 10 116 11 118 For the data in this table the interquartilerange is IQR ... upper third quartile Math Q 3 Math , Math x .75 Math 9 interquartilerange, Math IQR Q 3 Q 1 2 Math Interquartilerange of distributions The interquartilerange of a continuous distribution can be calculated ... where CDF sup 1 sup is the quantile function . The interquartilerange and median of some common ... distribution Cauchy math 2 gamma , math Interquartilerange test for normality of distribution ... Midhinge Interdecile range Robust measures of scale Outlier Statistics descriptive DEFAULTSORT InterquartileRange Category Scale statistics Category Wikipedia articles with ASCII art es Rango intercuart lico eu Kuartil arteko ibiltarte fa fr cart interquartile it Scarto interquartile he nl Interkwartielafstand pl Rozst p wiartkowy simple Interquartilerange sl ... more details
on all the observations in the interquartilerange. See also Related statistics Interquartilerange Midhinge Applications London Interbank Offered Rate estimates a reference interest rate as the interquartile mean of the rates that several banks offer. Everything2 uses the interquartile mean of the reputations ...unreferenced date April 2009 The interquartile mean IQM is a statistics statistical measures of central tendency measure of central tendency , much like the mean in more popular terms called the average , the median , and the mode statistics mode . The IQM is a 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 . Calculation In calculation of the IQM, only the interquartilerange is used, and the lowest 25 and the highest 25 of the scores are discarded. These points are called the first and third quartile s, see talk page hence the name of the IQM. Note that the second quartile is also called the median . math x mathrm IQM 2 over n sum i frac n 4 1 frac 3n 4 x i math assuming the values have been ordered. Examples Dataset divisible by four The method is best explained with an example. Consider the following dataset 5, 8, 4, 38, 8, 6, 9 ... and the interquartile dataset Consider the following dataset of 9 observations 1, 3, 5, 7, 9, 11, 13, 15, 17 There are 9 4 2.25 observations in each quartile, and 4.5 observations in the interquartilerange. Truncate the fractional quartile size, and remove this number from the 1st and 3rd quartiles ... 1, 3 strike , 5 , 7, 9, 11, 13 , strike 15, 17 strike Thus, there are 3 full observations in the interquartilerange, and 2 fractional observations. Since we have a total of 4.5 observations in the interquartilerange, the two fractional observations each count for 0.75 and thus 3 1 2 0.75 4.5 observations ... can be either 0, 0.25, 0.50, or 0.75. Comparison with mean and median The Interquartile Mean ... more details
Unreferenced date November 2010 In statistics , the interdecile range is the difference between the first and the ninth decile s 10 and 90 . The interdecile range is a measure of statistical dispersion of the values in a set of data, similar to the range statistics range and the interquartilerange . See also Statistical analysis Standard deviation Robust measures of scale DEFAULTSORT Interdecile Range Category Scale statistics ... more details
style float right wiktionary TOC right Range may refer to Mathematics, science, and technology In mathematics Range mathematics , the set of all output values produced by a function Interval mathematics , also called a range , a set of real numbers that includes all numbers between any two numbers in the set Range statistics , the difference between the highest and the lowest values in a set Projective range , a line or a conic in projective geometry In science Mountain range , a group of mountains bordered by lowlands Range particle radiation , the distance a charged particle travels before stopping Range biology , the geographical area where a species can be found Range music , the set of notes a musical instrument can play, or that are used in a piece of music Vocal range , the breadth of pitch that a human voice can produce In technology Range computer science , the set of allowed values for a variable Range aircraft , the distance an aircraft can fly Range of a projectile , the potential distance a projectile can be hurled by a firearm or cannon Slant range , distance between two objects on different levels Places United States Range, Ohio , an unincorporated community Range, Wisconsin , an unincorporated community Other uses Shooting range , a controlled environment where weapons are fired at targets Rangeland , in ranching Driving range , an area where golfers can practice their swing Rosslyn Range , an American long jumper Kitchen stove , or range, an appliance used for cooking food Range, a pair of navigational beacons whose line indicates a channel. If lighted they are called Leading lights in Britain or range lights in the USA A term used to identify a survey township See also The Range disambiguation Rangefinder disambig de Reichweite ja pl Zasi g fi Kantama sv R ckvidd ... more details
Other uses Image University of Virginia Poe room 1915.jpg thumb right 275px Edgar Allan Poe room on the West Range, 1915 The Range is part of the original grounds of the University of Virginia as designed by Thomas Jefferson in Charlottesville, Virginia , USA. The Range buildings run parallel to and face away from the Lawn , and are separated from the Lawn by a series of ten gardens five per side . There are six hotels on the Range, three on each side. Originally used as dining facilities, the hotels today fill a variety of purposes, including administrative office space, home of The Virginia Quarterly Review , home to the Jefferson Literary and Debating Society , and a reception hall. The Range rooms serve as graduate student housing. They are furnished identically to undergraduate Lawn rooms. Previous well known Range residents include Edgar Allan Poe 13 West Range and Woodrow Wilson 31 West Range . During his residence in 13 West Range, Poe allegedly etched his initials into a pane of window glass a pane that has since been shattered. Visitors to the West Range can peer inside Poe s room, which is furnished in the style of his era and maintained by the Raven Society , and listen to a brief recording that describes Poe s time at the University. A glass doorway preserves the historic quality of the room. Thirteen West Range is open to the public once each year during Historic Garden Week . The Pi Kappa Alpha fraternities and sororities Fraternity was founded in 47 West Range on March 1, 1868. External links http www.student.virginia.edu range The Range Community s website University of Virginia This room in endowed to the Kappa Sigma and Pi Kappa Alpha fraternities on a rotating yearly basis. coord missing Virginia DEFAULTSORT Range, The Category University of Virginia Category Buildings and structures in Charlottesville, Virginia Virginia university stub ... more details
Unreferenced date December 2009 In the descriptive statistics , the range is the length of the smallest interval which contains all the data. It is calculated by subtracting the smallest observation sample minimum from the greatest sample maximum and provides an indication of statistical dispersion . It is measured in the same units as the data. Since it only depends on two of the observations, it is a poor and weak measure of dispersion except when the sample size is large. For a population, the range is greater than or equal to twice the standard deviation , with equality only for the coin toss Bernoulli distribution with p . The range, in the sense of the difference between the highest and lowest scores, is also called the crude range . When a new scale for measurement is developed, then a potential maximum or minimum will emanate from this scale. This is called the potential crude range . Of course this range should not be chosen too small, in order to avoid a ceiling effect . When the measurement is obtained, the resulting smallest or greatest observation, will provide the observed crude range . The midrange point, i.e. the point halfway between the two extremes, is an indicator of the central tendency of the data. Again it is not particularly robust for small samples. See also Portal Statistics Sample maximum and minimum Interquartilerange Studentized range Peirce s criterion Statistics descriptive DEFAULTSORT Range Statistics Category Statistical deviation and dispersion Category Scale statistics Category Summary statistics ar de Spannweite Statistik es Rango estad stica eu Ibiltarte fa it Campo di variazione no Variasjonsbredde pl Rozst p ru sv Variationsomr de tr A kl k istatistik vi Kho ng bi n thi n zh ... more details
Wiktionary long range Long Range may refer to ER Extended Range , a type of aircraft Long Range band , a techno band Long range Wi Fi Long range dependency Long Range Mountains Long Range Surveillance Long range order Long Range Aviation Long range planning Long range penetration Other uses Long Range G.I. Joe , a fictional character in the G.I. Joe universe disambig ... more details
King Range may refer to King Range Antarctica a mountain range in Victoria Land, Antarctica. King Range California a mountain range in Humboldt County, California, part of the California Coast Ranges. disambig ... more details
Romance on the Range may refer to Romance on the Range album Romance on the Range album , a 1955 album by Patti Page Romance on the Range film Romance on the Range film , a movie starring Roy Rogers disambiguation ... more details
Nicholas Range may refer to Nicholas Range Antarctic , a mountain range in Antarctic Nicholas Range Pamir Mountains , a mountain range on the border of Afghanistan and Tajikistan disambig ... more details
The Range may refer to The Range , a building at the University of Virginia The Range, Queensland , a locality in Australia The Range, South Australia , a locality in Australia The Range Home and Leisure , a British retail company Bruce Hornsby and the Range , a musical group The Range, Zimbabwe see List of cities and towns in Zimbabwe See also Range disambiguation disambig geo ... more details
Rainbow Range may refer to Rainbow Range Chilcotin Plateau , a mountain range in British Columbia, Canada Rainbow Range Rocky Mountains , a small subrange of the Rocky Mountains in British Columbia, Canada disambig ... more details
Vermilion Range may refer to Vermilion Range Alberta in Alberta, Canada Vermilion Range British Columbia in British Columbia, Canada Vermilion Range Minnesota in Minnesota, United States disambig ... more details
Livingstone Range is the name of different mountain ranges Livingstone Mountains a mountain range in East Africa Livingstone Range Canada a mountain range in the Canadian Rockies dab ... more details
Target range may refer to Shooting range Optimal health range , in medicine diagnostics, concentration ranges for optimal health as alternative to reference range based on normal distribution. disambig ... more details
Missile range may refer to the following Tracking ship Missile Range Instrumentation Ship Pan American Airways Guided Missile Range Division Ballistic missile Missile types Ballistic missiles classified according to their range Locations Pacific Missile Range Facility White Sands Missile Range See also Spaceport Pacific Missile Range disambig ... more details
Park Range may refer to The Park Range Colorado Park Range in northern Colorado in the United States The Park Range Nevada Park Range in Nevada in the United States The Park Ranges in the Canadian Rockies geodis ... more details
Selwyn Range can refer to Selwyn Range Australia , rugged highlands in north west Queensland Selwyn Range Canada , a mountain range in British Columbia Selwyn Range is also used to refer to the Selwyn Mountains in Yukon and the Northwest Territories, Canada disambig ... more details
Distinguish Spring Mountains Spring Range Springs Range may refer to Sand Springs Range , a short mountain range in western Nevada in the United States Maverick Springs Range , a mountain range in White Pine County, Nevada Ely Springs Range , a mountain range in Lincoln County, Nevada Burnt Springs Range , a mountain range in Lincoln County, Nevada Hot Springs Range , a mountain range in Humboldt County, Nevada Fish Springs Range , the location of the Fish Springs National Wildlife Refuge in Utah Box Springs Mountains , a mountain range in north west Riverside County, California Tule Springs Hills , a mountain range in Lincoln County, Nevada Geodis Category Western Cordillera North America ... more details
Ruby Range may refer to the following mountain ranges Ruby Range Valhalla Ranges , British Columbia, Canada Ruby Range Sifton Ranges , British Columbia, Canada Ruby Range Yukon , Canada Ruby Range Colorado , United States Ruby Range Montana , United States geodis ... more details
Horse Range may refer to Horse Range California in Nevada County, California, USA Horse Range Nevada in Nye County, Nevada, USA Horse Range Oregon in Josephine County, Oregon, USA mountainindex ... more details
Forest Range can refer to Forest range , and administrative divisional unit used in managing forests in India , Pakistan and Bangladesh Forest Range, South Australia a town in Australia disambig ... more details
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