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http://dbpedia.org/ontology/abstract Míra polohy (též parametr polohy) charakte … Míra polohy (též parametr polohy) charakterizuje „referenční“ hodnotu dat. Je definována pro rozdělení náhodné veličiny (tehdy jde o teoretickou hodnotu, kterou se snažíme odhadnout z dat), tehdy ji obvykle provázíme slovem „populační“, i pro náhodný výběr (ze kterého dostáváme odhad populační charakteristiky), což zdůrazňujeme slovem „výběrová“. Jde o hodnotu často používanou v popisné statistice, protože kondenzuje data. Mezi známé míry polohy patří aritmetický průměr (nebo obecněji střední hodnota), medián, modus, nebo různé kvantily. Důležitou vlastností míry polohy je ekvivariance vůči lineární transformaci dat. Jinými slovy, jestliže provedeme s náhodnou veličinou (náhodným výběrem) s mírou polohy lineární transformaci , pak míra polohy se změní úplně stejně, tedy pro míru polohy pro platí Data se stejnou mírou polohy mohou mít různou rozptýlenost nebo jiné charakteristiky. Např. velikost proměnlivosti dat popisujeme vhodně vybranou mírou rozptýlenosti dat.e vhodně vybranou mírou rozptýlenosti dat. , Для определения средних или наиболее типич … Для определения средних или наиболее типичных значений совокупности используются показатели центра распределения. Основные из них — математическое ожидание, среднее арифметическое, среднее геометрическое, среднее гармоническое, среднее степенное, взвешенные средние, , медиана, мода. Расчёт средних величин производится разными способами, и, соответственно, применение их тоже зависит от исследуемой совокупности. У симметричного одномерного унимодального распределения математическое ожидание, медиана и мода одинаковы.ческое ожидание, медиана и мода одинаковы. , في الرياضيات، المتوسط هو قسمة فرق القيمتين الكبرى والصغرى لمعطى على فرق القيمتين الكبرى والصغرى لمعطى ثان بينه وبين المعطى الأول نسبة مشتركة. , Sa staitistic, má bhíonn sraith de n uimhr … Sa staitistic, má bhíonn sraith de n uimhreacha ann, is é a meán uimhriúil ná suim na n-uimhreacha, roinnte ar n. Más iad x1, x2, x3… xn na huimhreacha, is é an meán uimhriúil, m = (1/n)(x1 + x2 + x3… xn) = (1/n) ∑ xi. Is é airmheán na n-uimhreacha an uimhir sin i measc na n-uimhreacha uile a bhfuil leath de na huimhreacha níos lú ná í is leath níos mó. Ní hionann de ghnáth an meán is an t-airmheán. Is é mód na n-uimhreacha sa tsraith an uimhir ina measc a tharlaíonn níos minice ná aon uimhir eile. Mar shampla sa tsraith uimhreacha seo: {1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 5, 6, 6, 6}, n = 20, a suim ∑ xi = 64, agus mar sin a meán uimhriúil = 64/20 = 3.2. Is é 3 an t-airmheán, agus 4 an mód. Sainmhínítear an meán geoiméadrach de n uimhreacha mar an nú fréamh d'iolrú na n-uimhreacha uile sa tsraith: n√ (x1 × x2 × x3 x… xn). uile sa tsraith: n√ (x1 × x2 × x3 x… xn). , Μέσος όρος ή αλλιώς δειγματική μέση τιμή ε … Μέσος όρος ή αλλιώς δειγματική μέση τιμή ενός συνόλου ν παρατηρήσεων αποτελεί το σπουδαιότερο και χρησιμότερο μέτρο της Στατιστικής και είναι ένα μέτρο θέσης, δηλαδή δείχνει σχετικά τις θέσεις των αριθμών στους οποίους αναφέρεται. Η μέση τιμή συμμετέχει σε αρκετούς τύπους της στατιστικής και εξετάζεται σε σχεδόν όλες τις στατιστικές κατανομές. Γενικά, ορίζεται ως το άθροισμα των παρατηρήσεων δια του πλήθους αυτών. Είναι δηλαδή η μαθηματική πράξη ανεύρεσης της «μέσης απόστασης» ανάμεσα σε δύο ή περισσότερους αριθμούς. Η μέση τιμή συμβολίζεται με . Γενικός τύπος της μέσης τιμής είναι: , όπου ti η i παρατήρηση και n το πλήθος των παρατηρήσεων π.χ. 8+12+40 (3 αριθμοί οπότε δια του 3)= (60:3)=20 άρα ο μέσος όρος των 8, 12 και 40 είναι 20. Αν έχουμε κατηγοριοποιήσει τα δεδομένα σε k τότε ισχύουν και οι εξής τύποι: όπου ni, fi η i απόλυτη συχνότητα και σχετική συχνότητα αντίστοιχα της κλάσης με κεντρική τιμή xi αντίστοιχα της κλάσης με κεντρική τιμή xi , En matemàtiques, la mitjana és una mesura … En matemàtiques, la mitjana és una mesura de tendència central representa el valor "mitjà" o "típic" d'un conjunt de dades. Existeixen diferents tipus de mitjanes, com ara la mitjana geomètrica, la mitjana ponderada i la mitjana harmònica, encara que en el llenguatge comú el terme es refereix generalment a la mitjana aritmètica.ereix generalment a la mitjana aritmètica. , En statistiko, centra dispozicio estas iu … En statistiko, centra dispozicio estas iu centro de aro da mezuroj; la vorto centro estas diverse komprenata kiel meznombro, mediano, aŭ alia mezuro de loko, depende de la ĉirkaŭteksto. Centra dispozicio estas analoga al centro de maso en fiziko. La termino estas uzata en iuj kampoj de esplorado por paroli pri tio, kion statistikistoj iam nomis "loko". "Mezuro de centra dispozicio" estas aŭ statistiko kutima taksata kiel loka parametro. Estas kelkaj malsamaj specoj de kalkulado por centra dispozicio, kun la speco de kalkulo dependanta sur la tipo de datumoj por kiu la centra dispozicio estas kalkulata. kiu la centra dispozicio estas kalkulata. , En lenguaje coloquial, un promedio es un s … En lenguaje coloquial, un promedio es un solo número tomado como representante de una lista de números. Se utilizan diferentes conceptos de promedio en diferentes contextos. A menudo, "promedio" se refiere a la media aritmética, la suma de los números dividida por cuántos números se promedian. En estadística, la media, la mediana y la moda se conocen como medidas de tendencia central, y en el uso coloquial cualquiera de estos podría llamarse un valor promedio. La mayoría de nosotros entendemos la palabra "promedio" porque el uso diario generalmente se refiere a números o grupos que tienen una distribución normal o curva en campana, por ejemplo, las alturas de las personas o sus mediciones de presión arterial. Sin embargo, si la distribución de esos números no es normal, entonces lo que generalmente consideramos "promedio" estará sesgado. Los ejemplos incluyen el número de dedos: a algunas personas les faltan dedos, muy raramente las personas tienen extra, y casi nunca más que uno extra, lo que lleva a una situación en la que el número promedio real de dedos (más de 9 pero menos de 10) no es una información particularmente útil.o es una información particularmente útil. , Średnia – w najogólniejszej wersji dowolna … Średnia – w najogólniejszej wersji dowolna funkcja spełniająca, dla dowolnych warunek i jednocześnie niemalejąca ze względu na każdą zmienną Średnie są statystykami stosowanymi jako tzw. miary tendencji centralnej, tzn. wskaźniki pokazujące w jakiś sposób „środek” rozkładu. „Środek” można zdefiniować na wiele sposobów, istnieje też wiele średnich. Średnimi są w szczególności: * maksimum * mediana * minimum * średnia arytmetyczna * średnia arytmetyczno-geometryczna * średnia geometryczna * średnia geometryczno-harmoniczna * średnia harmoniczna * średnia kwadratowa * średnia logarytmiczna * średnia potęgowa * średnia quasi-arytmetyczna * średnia ucinana * średnia ważona * średnia winsorowska Zależność pomiędzy średnią arytmetyczną, geometryczną i harmoniczną wyznaczają nierówności Cauchy’ego między średnimi.ją nierówności Cauchy’ego między średnimi. , Lägesmått, eller centralmått, är inom stat … Lägesmått, eller centralmått, är inom statistik och matematisk statistik ett sammanfattande mått på "det genomsnittliga" värdet av observerade data eller en sannolikhetsfördelning. De vanligaste lägesmåtten är medelvärde, median, typvärde. Besläktat med medianen är övre och undre kvartil som tillsammans med medianen kan användas för att beräkna spridningsmåttet kvartilavstånd. När man inom den matematiska statistiken undersöker sannolikhetsfördelningar motsvaras medelvärdet av begreppet väntevärde.varas medelvärdet av begreppet väntevärde. , Em estatística, média é definida como o va … Em estatística, média é definida como o valor que demonstra a concentração dos dados de uma distribuição, como o ponto de equilíbrio das frequências em um histograma. Média também é interpretada como um valor significativo de uma lista de números. Os valores de uma lista de números podem ser representados por meio da escolha aleatória de um número. Se todos os números forem iguais, o número escolhido aleatoriamente será a média. Então, a média pode ser calculada por meio da combinação dos números de maneira específica e da geração de um valor significativo. Entretanto, a palavra média é usualmente usada em métodos mais sofisticados como média aritmética, mediana, moda, entre outros. Seguindo uma definição mais informal de "média", pode-se assumir que no campo da estatística, dados possuem posições. Por exemplo, cada valor dos lançamentos de um dado possui sua posição em uma planilha eletrônica. Em estatística, média é uma medida de posição que indica um valor uniforme dos dados. Por exemplo, o conjunto possui média aritmética . Embora seja o valor médio, ele não é o valor central definido pela mediana.o é o valor central definido pela mediana. , 平均（へいきん、英: mean, average, 独: Mittelwert, 仏 … 平均（へいきん、英: mean, average, 独: Mittelwert, 仏: moyenne）または平均値（へいきんち、英: mean value, average value）とは、数学において、数の集合やデータの中間的な値のことで、算術平均（相加平均）・幾何平均（相乗平均）・調和平均・対数平均など様々な種類の平均がある。 特に指定しない場合は一般的には算術平均のことを単に平均という。これは、集合の要素の総和を集合の要素数で割ったものである。例えば A, B, C という3人の体重がそれぞれ 55 kg, 60 kg, 80 kg であったとすると、3人の体重の平均値は (55 kg + 60 kg + 80 kg) ÷ 3 = 65 kg である。 数学以外では、日本語では、不揃いでないこと、釣り合いが取れていることなどの意味もある。学以外では、日本語では、不揃いでないこと、釣り合いが取れていることなどの意味もある。 , Estatistikan, batezbestekoa datu multzo ba … Estatistikan, batezbestekoa datu multzo baten balio adierazgarria, zentrala edo gutxi gorabeherakoa da, zeinaren inguruan datu guztiak biltzen diren eta nolabait datu guztiak balio bakar batez ordezkatzen dituena. Horrela, batezbestekoa datu multzo baten zentro neurri bat dela esaten da. Adibidez, 6-7-8-9-10 datuen batezbestekoa 8 dela esan daiteke, datu guztiak 8 balioaren inguruan biltzen baitira; beraz, 8 zentrotzat hartzen da. Batez besteko terminoa, bi hitzetan bereizia alegia, izenlagun moduan erabiltzen da, batez besteko adina, batez besteko nota, batez besteko hazkundea eta horrelako lokuzioak osatzeko. Beste zentro neurriak diren mediana eta moda ez bezala, batezbestekoek datu guztiak hartzen dituzte bere kalkuluan. Onartzen da, ordea, muturreko datuak edo adierazgarriak ez diren bestelako datuak alde batera uztea. Datu guztiak biltzean, datuetan biltzen den informazio guztia biltzen dutela esan daiteke abantaila gisa, horrela adierazgarriak ez diren datuak barneratzeko arriskua badago ere, esanguratsua ez den emaitza bat sortuz. Adibide moduan, (12,34,36,38) datuetarako batezbesteko aritmetiko sinplea kalkukatzean datu guztiak hartzen dira kontuan, beste datuetatik asko aldentzen den 12 balioa hartzen duen muturreko datua barne; horrela (12+34+36+38)/4=30 suertatzen da batezbesteko aritmetiko sinplea, baina zentro-joera gutxietsi egiten duen balioa da. Irtenbide gisa, muturrekoa den 12 datua baztertuta, batezbesteko berri moduan (34+36+38)/40=36 hartuz, modu egokiago batez islatzen zentro-joera. Hainbat datu bateratu beharra dagoen guztietan ere erabil daiteke batez bestekoa. Adibidez, ekonomian kalkulatzeko erabiltzen dira, produktu ezberdinen prezioak bateratu behar direnean; klimatologian, aldaketa klimatikoen joera neurtzeko erabiltzen dira, tenperaturak eta bestelako aldagaiak bateratuz.raturak eta bestelako aldagaiak bateratuz. , Rata-rata adalah suatu bilangan yang mewak … Rata-rata adalah suatu bilangan yang mewakili sekumpulan data. Dalam statistika, rata-rata, rerata, atau rataan (bahasa Inggris: mean, average) memiliki tiga arti yang berkaitan: * , pengertian yang paling umum dikenal awam. * Nilai harapan dari suatu . * Ukuran pemusatan dari suatu sebaran probabilitas. Rerata merupakan salah satu konsep sentral dalam statistika matematis. Selain itu, menjadi bagian penting dalam berbagai penurunan berbagai metode statistika. Dipandang dari sisi matematis, rerata adalah pertama dari suatu peubah acak. Momen pertama mengenai rerata dari suatu peubah acak disebut simpangan (deviasi). Itu bukan tidak rata rata.ngan (deviasi). Itu bukan tidak rata rata. , Das Wort Durchschnitt hat verschiedene Bed … Das Wort Durchschnitt hat verschiedene Bedeutungen: * Im Sinne von Mittelmaß kennzeichnet es allgemein eine mittlere Qualität oder Quantität. * Mit Durchschnitt kann in der Mathematik und Statistik der Mittelwert gemeint sein, wobei dabei das arithmetische Mittel vom geometrischen Mittel und quadratischen Mittel unterschieden wird. * In der Mengenlehre wird mit Durchschnitt die Schnittmenge zweier Mengen bezeichnet. * Durchschnitte in der Kategorientheorie verallgemeinern die Durchschnitte der Mengenlehre. * Im Rahmen zeichnerischer Darstellungen kann auch eine Schnittdarstellung (kurz Schnitt) gemeint sein. So definierte Johann Georg Sulzer in seiner Allgemeinen Theorie der Schönen Künste (1771) als Durchschnitt in der Baukunst: „Die Zeichnung eines Gebäudes, welche seine innere Beschaffenheit so vorstellt als wenn es nach seiner ganzen Länge oder Breite von oben bis unten durchgeschnitten und die vordere Hälfte davon weggenommen wäre.“ * In der Drucktechnik bezeichnet es eine bestimmte Anordnung einzelner wiederholter Druckmotive (der Nutzen) auf einer größeren Druckseite (Druckbogen). * Es ist eine frühere Bezeichnung des Schnittwerkzeugs zur Herstellung von Münzrohlingen (siehe z. B. Münzstätte Weimar).rohlingen (siehe z. B. Münzstätte Weimar). , In ordinary language, an average is a sing … In ordinary language, an average is a single number taken as representative of a list of numbers, usually the sum of the numbers divided by how many numbers are in the list (the arithmetic mean). For example, the average of the numbers 2, 3, 4, 7, and 9 (summing to 25) is 5. Depending on the context, an average might be another statistic such as the median, or mode. For example, the average personal income is often given as the median—the number below which are 50% of personal incomes and above which are 50% of personal incomes—because the mean would be misleadingly high by including personal incomes from a few billionaires. personal incomes from a few billionaires. , 평균(平均)은 통계학에서 두 가지 서로 연관된 뜻이 있다. * 일상에서 평 … 평균(平均)은 통계학에서 두 가지 서로 연관된 뜻이 있다. * 일상에서 평균이라고 부르는 것으로 산술 평균이라고도 한다. 또한 표본 평균과 관련있다. 기하 평균이나 조화 평균과는 구별된다. * 확률변수의 기댓값으로 모평균으로 다루어질수있다. 한편 역수의 산술평균의 역수를 조화 평균이라 한다. 평균은 통계학뿐만 아니라 기하학이나 해석학에서도 쓰인다. 이러한 맥락에서 통계학에서는 그 목적에 맞는 다양한 평균들이 고안되었다. 표본 평균은 모평균 같은 중심경향치(center tendency)에 대한 추정량으로 자주 쓰인다. 그러나 중심경향치(center tendency)의 다른 추정량이 쓰이기도 한다. 실수값을 갖는 확률 변수 X에 대해서, 평균은 X의 기댓값이 된다. 기댓값이 존재하지 않는다면 그 확률 변수에는 평균이 없다. 자료 집합에 대한 평균은 단순히 모든 관측값을 더해서 관측값 개수로 나눈 것이다. 일단 자료 집합의 공통성을 이렇게 설명하기로 하면, 관측값이 어떻게 다른지 설명하는 데는 보통 표준편차를 쓴다. 표준편차는 편차들(deviations)의 제곱합(SS)을 평균한 값의 제곱근이다. 평균은 편차 제곱의 합이 최소가 되는 유일한 값이다. 중심경향치(center tendency)을 평균이 아닌 다른 방식으로 측정하는 경우, 편차 제곱의 합을 구해 보면, 평균을 썼을 때 구한 값보다 크다. 이는 왜 통계 보고서에서 보통 평균과 표준편차를 인용하는지를 설명해 준다. 퍼진 정도에 대한 다른 측도로는 평균 편차가 있다. 이것은 (평균에 대한) 절대 편차를 평균한 것과 같다. 평균 편차는 바깥값에 덜 민감하지만, 자료 집합을 합칠 때 다루기 어렵다. 모든 확률 분포가 평균이나 분산으로만 정의되지는 않는다는 점을 주의할 수 있다. 예를 들면 같은 것이 있다. 데이타에대한 n개의 집합에서 평균을 구하는 다양한 방법을 살펴볼 수 있다. 여기서 사용한 기호는 수학기호표를 참고할 수 있다.방법을 살펴볼 수 있다. 여기서 사용한 기호는 수학기호표를 참고할 수 있다.
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rdfs:comment Rata-rata adalah suatu bilangan yang mewak … Rata-rata adalah suatu bilangan yang mewakili sekumpulan data. Dalam statistika, rata-rata, rerata, atau rataan (bahasa Inggris: mean, average) memiliki tiga arti yang berkaitan: * , pengertian yang paling umum dikenal awam. * Nilai harapan dari suatu . * Ukuran pemusatan dari suatu sebaran probabilitas. Rerata merupakan salah satu konsep sentral dalam statistika matematis. Selain itu, menjadi bagian penting dalam berbagai penurunan berbagai metode statistika. Dipandang dari sisi matematis, rerata adalah pertama dari suatu peubah acak.ata adalah pertama dari suatu peubah acak. , Lägesmått, eller centralmått, är inom stat … Lägesmått, eller centralmått, är inom statistik och matematisk statistik ett sammanfattande mått på "det genomsnittliga" värdet av observerade data eller en sannolikhetsfördelning. De vanligaste lägesmåtten är medelvärde, median, typvärde. Besläktat med medianen är övre och undre kvartil som tillsammans med medianen kan användas för att beräkna spridningsmåttet kvartilavstånd. När man inom den matematiska statistiken undersöker sannolikhetsfördelningar motsvaras medelvärdet av begreppet väntevärde.varas medelvärdet av begreppet väntevärde. , En matemàtiques, la mitjana és una mesura … En matemàtiques, la mitjana és una mesura de tendència central representa el valor "mitjà" o "típic" d'un conjunt de dades. Existeixen diferents tipus de mitjanes, com ara la mitjana geomètrica, la mitjana ponderada i la mitjana harmònica, encara que en el llenguatge comú el terme es refereix generalment a la mitjana aritmètica.ereix generalment a la mitjana aritmètica. , En lenguaje coloquial, un promedio es un s … En lenguaje coloquial, un promedio es un solo número tomado como representante de una lista de números. Se utilizan diferentes conceptos de promedio en diferentes contextos. A menudo, "promedio" se refiere a la media aritmética, la suma de los números dividida por cuántos números se promedian. En estadística, la media, la mediana y la moda se conocen como medidas de tendencia central, y en el uso coloquial cualquiera de estos podría llamarse un valor promedio. La mayoría de nosotros entendemos la palabra "promedio" porque el uso diario generalmente se refiere a números o grupos que tienen una distribución normal o curva en campana, por ejemplo, las alturas de las personas o sus mediciones de presión arterial. Sin embargo, si la distribución de esos números no es normal, entonces lo que gen números no es normal, entonces lo que gen , Míra polohy (též parametr polohy) charakte … Míra polohy (též parametr polohy) charakterizuje „referenční“ hodnotu dat. Je definována pro rozdělení náhodné veličiny (tehdy jde o teoretickou hodnotu, kterou se snažíme odhadnout z dat), tehdy ji obvykle provázíme slovem „populační“, i pro náhodný výběr (ze kterého dostáváme odhad populační charakteristiky), což zdůrazňujeme slovem „výběrová“. Jde o hodnotu často používanou v popisné statistice, protože kondenzuje data. Mezi známé míry polohy patří aritmetický průměr (nebo obecněji střední hodnota), medián, modus, nebo různé kvantily.nota), medián, modus, nebo různé kvantily. , In ordinary language, an average is a sing … In ordinary language, an average is a single number taken as representative of a list of numbers, usually the sum of the numbers divided by how many numbers are in the list (the arithmetic mean). For example, the average of the numbers 2, 3, 4, 7, and 9 (summing to 25) is 5. Depending on the context, an average might be another statistic such as the median, or mode. For example, the average personal income is often given as the median—the number below which are 50% of personal incomes and above which are 50% of personal incomes—because the mean would be misleadingly high by including personal incomes from a few billionaires. personal incomes from a few billionaires. , 平均（へいきん、英: mean, average, 独: Mittelwert, 仏 … 平均（へいきん、英: mean, average, 独: Mittelwert, 仏: moyenne）または平均値（へいきんち、英: mean value, average value）とは、数学において、数の集合やデータの中間的な値のことで、算術平均（相加平均）・幾何平均（相乗平均）・調和平均・対数平均など様々な種類の平均がある。 特に指定しない場合は一般的には算術平均のことを単に平均という。これは、集合の要素の総和を集合の要素数で割ったものである。例えば A, B, C という3人の体重がそれぞれ 55 kg, 60 kg, 80 kg であったとすると、3人の体重の平均値は (55 kg + 60 kg + 80 kg) ÷ 3 = 65 kg である。 数学以外では、日本語では、不揃いでないこと、釣り合いが取れていることなどの意味もある。学以外では、日本語では、不揃いでないこと、釣り合いが取れていることなどの意味もある。 , Μέσος όρος ή αλλιώς δειγματική μέση τιμή ε … Μέσος όρος ή αλλιώς δειγματική μέση τιμή ενός συνόλου ν παρατηρήσεων αποτελεί το σπουδαιότερο και χρησιμότερο μέτρο της Στατιστικής και είναι ένα μέτρο θέσης, δηλαδή δείχνει σχετικά τις θέσεις των αριθμών στους οποίους αναφέρεται. Η μέση τιμή συμμετέχει σε αρκετούς τύπους της στατιστικής και εξετάζεται σε σχεδόν όλες τις στατιστικές κατανομές. Γενικά, ορίζεται ως το άθροισμα των παρατηρήσεων δια του πλήθους αυτών. Είναι δηλαδή η μαθηματική πράξη ανεύρεσης της «μέσης απόστασης» ανάμεσα σε δύο ή περισσότερους αριθμούς. Η μέση τιμή συμβολίζεται με . Γενικός τύπος της μέσης τιμής είναι: με . Γενικός τύπος της μέσης τιμής είναι: , في الرياضيات، المتوسط هو قسمة فرق القيمتين الكبرى والصغرى لمعطى على فرق القيمتين الكبرى والصغرى لمعطى ثان بينه وبين المعطى الأول نسبة مشتركة. , 평균(平均)은 통계학에서 두 가지 서로 연관된 뜻이 있다. * 일상에서 평 … 평균(平均)은 통계학에서 두 가지 서로 연관된 뜻이 있다. * 일상에서 평균이라고 부르는 것으로 산술 평균이라고도 한다. 또한 표본 평균과 관련있다. 기하 평균이나 조화 평균과는 구별된다. * 확률변수의 기댓값으로 모평균으로 다루어질수있다. 한편 역수의 산술평균의 역수를 조화 평균이라 한다. 평균은 통계학뿐만 아니라 기하학이나 해석학에서도 쓰인다. 이러한 맥락에서 통계학에서는 그 목적에 맞는 다양한 평균들이 고안되었다. 표본 평균은 모평균 같은 중심경향치(center tendency)에 대한 추정량으로 자주 쓰인다. 그러나 중심경향치(center tendency)의 다른 추정량이 쓰이기도 한다. 실수값을 갖는 확률 변수 X에 대해서, 평균은 X의 기댓값이 된다. 기댓값이 존재하지 않는다면 그 확률 변수에는 평균이 없다. 자료 집합에 대한 평균은 단순히 모든 관측값을 더해서 관측값 개수로 나눈 것이다. 일단 자료 집합의 공통성을 이렇게 설명하기로 하면, 관측값이 어떻게 다른지 설명하는 데는 보통 표준편차를 쓴다. 표준편차는 편차들(deviations)의 제곱합(SS)을 평균한 값의 제곱근이다.차는 편차들(deviations)의 제곱합(SS)을 평균한 값의 제곱근이다. , Estatistikan, batezbestekoa datu multzo ba … Estatistikan, batezbestekoa datu multzo baten balio adierazgarria, zentrala edo gutxi gorabeherakoa da, zeinaren inguruan datu guztiak biltzen diren eta nolabait datu guztiak balio bakar batez ordezkatzen dituena. Horrela, batezbestekoa datu multzo baten zentro neurri bat dela esaten da. Adibidez, 6-7-8-9-10 datuen batezbestekoa 8 dela esan daiteke, datu guztiak 8 balioaren inguruan biltzen baitira; beraz, 8 zentrotzat hartzen da. Batez besteko terminoa, bi hitzetan bereizia alegia, izenlagun moduan erabiltzen da, batez besteko adina, batez besteko nota, batez besteko hazkundea eta horrelako lokuzioak osatzeko.azkundea eta horrelako lokuzioak osatzeko. , Das Wort Durchschnitt hat verschiedene Bed … Das Wort Durchschnitt hat verschiedene Bedeutungen: * Im Sinne von Mittelmaß kennzeichnet es allgemein eine mittlere Qualität oder Quantität. * Mit Durchschnitt kann in der Mathematik und Statistik der Mittelwert gemeint sein, wobei dabei das arithmetische Mittel vom geometrischen Mittel und quadratischen Mittel unterschieden wird. * In der Mengenlehre wird mit Durchschnitt die Schnittmenge zweier Mengen bezeichnet. * Durchschnitte in der Kategorientheorie verallgemeinern die Durchschnitte der Mengenlehre. * Im Rahmen zeichnerischer Darstellungen kann auch eine Schnittdarstellung (kurz Schnitt) gemeint sein. So definierte Johann Georg Sulzer in seiner Allgemeinen Theorie der Schönen Künste (1771) als Durchschnitt in der Baukunst:e (1771) als Durchschnitt in der Baukunst: , En statistiko, centra dispozicio estas iu … En statistiko, centra dispozicio estas iu centro de aro da mezuroj; la vorto centro estas diverse komprenata kiel meznombro, mediano, aŭ alia mezuro de loko, depende de la ĉirkaŭteksto. Centra dispozicio estas analoga al centro de maso en fiziko. La termino estas uzata en iuj kampoj de esplorado por paroli pri tio, kion statistikistoj iam nomis "loko". "Mezuro de centra dispozicio" estas aŭ statistiko kutima taksata kiel loka parametro.istiko kutima taksata kiel loka parametro. , Em estatística, média é definida como o va … Em estatística, média é definida como o valor que demonstra a concentração dos dados de uma distribuição, como o ponto de equilíbrio das frequências em um histograma. Média também é interpretada como um valor significativo de uma lista de números. Os valores de uma lista de números podem ser representados por meio da escolha aleatória de um número. Se todos os números forem iguais, o número escolhido aleatoriamente será a média. Então, a média pode ser calculada por meio da combinação dos números de maneira específica e da geração de um valor significativo. Entretanto, a palavra média é usualmente usada em métodos mais sofisticados como média aritmética, mediana, moda, entre outros.a aritmética, mediana, moda, entre outros. , Для определения средних или наиболее типич … Для определения средних или наиболее типичных значений совокупности используются показатели центра распределения. Основные из них — математическое ожидание, среднее арифметическое, среднее геометрическое, среднее гармоническое, среднее степенное, взвешенные средние, , медиана, мода. Расчёт средних величин производится разными способами, и, соответственно, применение их тоже зависит от исследуемой совокупности. У симметричного одномерного унимодального распределения математическое ожидание, медиана и мода одинаковы.ческое ожидание, медиана и мода одинаковы. , Sa staitistic, má bhíonn sraith de n uimhr … Sa staitistic, má bhíonn sraith de n uimhreacha ann, is é a meán uimhriúil ná suim na n-uimhreacha, roinnte ar n. Más iad x1, x2, x3… xn na huimhreacha, is é an meán uimhriúil, m = (1/n)(x1 + x2 + x3… xn) = (1/n) ∑ xi. Is é airmheán na n-uimhreacha an uimhir sin i measc na n-uimhreacha uile a bhfuil leath de na huimhreacha níos lú ná í is leath níos mó. Ní hionann de ghnáth an meán is an t-airmheán. Is é mód na n-uimhreacha sa tsraith an uimhir ina measc a tharlaíonn níos minice ná aon uimhir eile.tharlaíonn níos minice ná aon uimhir eile. , Średnia – w najogólniejszej wersji dowolna … Średnia – w najogólniejszej wersji dowolna funkcja spełniająca, dla dowolnych warunek i jednocześnie niemalejąca ze względu na każdą zmienną Średnie są statystykami stosowanymi jako tzw. miary tendencji centralnej, tzn. wskaźniki pokazujące w jakiś sposób „środek” rozkładu. „Środek” można zdefiniować na wiele sposobów, istnieje też wiele średnich. Średnimi są w szczególności: Zależność pomiędzy średnią arytmetyczną, geometryczną i harmoniczną wyznaczają nierówności Cauchy’ego między średnimi.ją nierówności Cauchy’ego między średnimi.
rdfs:label Míra polohy , 平均 , Mitjana (matemàtiques) , Durchschnitt , Mód meán, airmheán , Середні величини , Показатели центра распределения , Rata-rata , Lägesmått , متوسط رياضي , Promedio , Μέσος όρος , Centra dispozicio , Average , Média , Batezbesteko , 평균 , Średnia
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