{"id":2682,"date":"2024-10-15T10:49:52","date_gmt":"2024-10-15T08:49:52","guid":{"rendered":"https:\/\/clooma.ai\/?post_type=ressource-pedagogiqu&#038;p=2682"},"modified":"2024-10-24T16:33:55","modified_gmt":"2024-10-24T14:33:55","slug":"a-valtozekonysag-statisztikai-parameterei","status":"publish","type":"ressource-pedagogiqu","link":"https:\/\/clooma.ai\/hu\/oktatasi-forras\/a-valtozekonysag-statisztikai-parameterei\/","title":{"rendered":"A v\u00e1ltoz\u00e9konys\u00e1g statisztikai param\u00e9terei"},"content":{"rendered":"<p>A statisztik\u00e1ban a sz\u00f3r\u00e1smutat\u00f3 az \u00e9rt\u00e9kek v\u00e1ltoz\u00e9konys\u00e1g\u00e1t \u00e9rt\u00e9keli egy adathalmazban. Ez mindig pozit\u00edv sz\u00e1m, \u00e9s \u00e9rt\u00e9ke ann\u00e1l nagyobb, min\u00e9l t\u00e1volabb vannak egym\u00e1st\u00f3l az adatok. A sz\u00f3r\u00f3d\u00e1s \u00e1ltal\u00e1nosan haszn\u00e1lt m\u00e9r\u0151sz\u00e1mai a statisztikai v\u00e1ltoz\u00e9konys\u00e1gi param\u00e9terek eset\u00e9ben a variancia, a sz\u00f3r\u00e1s, a sz\u00f3r\u00e1s, a tartom\u00e1ny \u00e9s az interkvartilis tartom\u00e1ny.\u00a0<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Terjedelem:&nbsp;<\/h2>\n\n\n\n<p>A statisztik\u00e1ban a tartom\u00e1ny a legintuit\u00edvabb m\u00e9r\u0151sz\u00e1ma a halmazban l\u00e9v\u0151 adatok v\u00e1ltoz\u00e9konys\u00e1g\u00e1nak. A statisztik\u00e1ban gyakran R bet\u0171vel jel\u00f6lik. Az adott adathalmazban a maxim\u00e1lis \u00e9s a minim\u00e1lis \u00e9rt\u00e9k k\u00f6z\u00f6tti k\u00fcl\u00f6nbs\u00e9get jelenti. M\u00e1s sz\u00f3val a tartom\u00e1ny a megfigyelt \u00e9rt\u00e9kek teljes tartom\u00e1ny\u00e1t jelzi.&nbsp;<\/p>\n\n\n\n<p>Egy adathalmaz tartom\u00e1ny\u00e1nak kisz\u00e1m\u00edt\u00e1s\u00e1hoz k\u00f6vesse az al\u00e1bbi l\u00e9p\u00e9seket:&nbsp;<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Keresse meg a maxim\u00e1lis \u00e9rt\u00e9ket (\ud835\udc4b\ud835\udc5a\ud835\udc4e\ud835\udc65Xmax) az adathalmazban.&nbsp;<\/li>\n\n\n\n<li>Keresse meg a minim\u00e1lis \u00e9rt\u00e9ket (\ud835\udc4b\ud835\udc5a\ud835\udc56\ud835\udc5bXmin) az adathalmazban.&nbsp;<\/li>\n\n\n\n<li>Sz\u00e1m\u00edtsuk ki a tartom\u00e1nyt \ud835\udc45=\ud835\udc4b\ud835\udc5a\ud835\udc4e\ud835\udc65-\ud835\udc4b\ud835\udc5a\ud835\udc56\ud835\udc5bR=Xmax-Xmin&nbsp;<\/li>\n<\/ol>\n\n\n\n<p>A tartom\u00e1nyt azonban jelent\u0151sen befoly\u00e1solhatj\u00e1k a sz\u00e9ls\u0151\u00e9rt\u00e9kek (vagy kiugr\u00f3 \u00e9rt\u00e9kek), ami n\u00e9ha torz\u00edthatja az \u00e9rtelmez\u00e9st. Ez\u00e9rt a sz\u00f3r\u00e1s m\u00e1s m\u00e9rt\u00e9kegys\u00e9geit, p\u00e9ld\u00e1ul a negyedek k\u00f6z\u00f6tti tartom\u00e1nyt vagy a sz\u00f3r\u00e1s sz\u00f3r\u00e1s\u00e1t gyakran haszn\u00e1lj\u00e1k a sz\u00f3r\u00e1ssal egy\u00fctt, hogy pontosabb k\u00e9pet kapjanak az adatok sz\u00f3r\u00e1s\u00e1r\u00f3l.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Interkvartilis tartom\u00e1ny&nbsp;<\/h2>\n\n\n\n<p>Az interkvartilis tartom\u00e1ny a sz\u00f3r\u00f3d\u00e1s m\u00e9r\u0151sz\u00e1ma a statisztik\u00e1ban. Egy egyre ink\u00e1bb rendezett adathalmaz harmadik kvartilis\u00e9nek (\ud835\udc443) \u00e9s els\u0151 kvartilis\u00e9nek (\ud835\udc441) k\u00fcl\u00f6nbs\u00e9g\u00e9t jelenti. A kvartilisek az adatokat n\u00e9gy egyenl\u0151 r\u00e9szre osztj\u00e1k, amelyek mindegyike a megfigyel\u00e9sek 25%-j\u00e9t k\u00e9pviseli. Az al\u00e1bbi whisker-doboz az \ud835\udc443 \u00e9s \ud835\udc441 hely\u00e9t szeml\u00e9lteti.&nbsp;<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"https:\/\/clooma.ai\/wp-content\/uploads\/image-6.png\" alt=\"\" class=\"wp-image-2683\"\/><\/figure><\/div>\n\n\n<p>Az interkvartilis tartom\u00e1ny kisz\u00e1m\u00edt\u00e1s\u00e1hoz :&nbsp;<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Keresse meg az els\u0151 kvartilt (\ud835\udc441Q1): Ez az az \u00e9rt\u00e9k, amely elv\u00e1lasztja a 25% \u00e9s a legalacsonyabb adatokat.&nbsp;<\/li>\n\n\n\n<li>Keresse meg a harmadik kvartilist (\ud835\udc443Q3): Ez az az \u00e9rt\u00e9k, amely elv\u00e1lasztja a 25% \u00e9s a legmagasabb adatokat.&nbsp;<\/li>\n\n\n\n<li>Sz\u00e1m\u00edtsa ki az E=\ud835\udc443-\ud835\udc441=Q3-Q1 tartom\u00e1nyt.&nbsp;<\/li>\n<\/ol>\n\n\n\n<p>A nagy interkvartilis tartom\u00e1ny \u00e9rt\u00e9k azt jelzi, hogy a medi\u00e1nt (a rendezett adathalmaz k\u00f6zep\u00e9n l\u00e9v\u0151 \u00e9rt\u00e9ket) sz\u00e9les k\u00f6rben sz\u00e9tsz\u00f3rt \u00e9rt\u00e9kek veszik k\u00f6r\u00fcl, m\u00edg az alacsony interkvartilis tartom\u00e1ny \u00e9rt\u00e9k azt jelzi, hogy a medi\u00e1n k\u00f6r\u00fcli \u00e9rt\u00e9kek szorosabban csoportosulnak. Az interkvartilis tartom\u00e1ny ez\u00e9rt kev\u00e9sb\u00e9 \u00e9rz\u00e9keny a sz\u00e9ls\u0151 \u00e9rt\u00e9kekre, mint a tartom\u00e1ny, \u00e9s jobban jelzi az alapadatok sz\u00f3r\u00e1s\u00e1t.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Elt\u00e9r\u00e9s :<\/h2>\n\n\n\n<p>A statisztik\u00e1ban a variancia a sz\u00f3r\u00e1s egy olyan m\u00e9r\u0151sz\u00e1ma, amely egy adathalmaz egyes \u00e9rt\u00e9kei \u00e9s az adott halmaz \u00e1tlaga k\u00f6z\u00f6tti k\u00fcl\u00f6nbs\u00e9get sz\u00e1mszer\u0171s\u00edti. Azt jelzi, hogy a halmazban l\u00e9v\u0151 \u00e9rt\u00e9kek milyen m\u00e9rt\u00e9kben sz\u00f3r\u00f3dnak az \u00e1tlag k\u00f6r\u00fcl. A magas sz\u00f3r\u00e1s azt jelenti, hogy az \u00e9rt\u00e9kek sz\u00e9les k\u00f6rben sz\u00f3r\u00f3dnak, m\u00edg az alacsony sz\u00f3r\u00e1s azt jelzi, hogy az \u00e9rt\u00e9kek szorosabban csoportosulnak az \u00e1tlag k\u00f6r\u00fcl.&nbsp;<\/p>\n\n\n\n<p>Az adathalmaz varianci\u00e1j\u00e1nak kisz\u00e1m\u00edt\u00e1s\u00e1ra szolg\u00e1l\u00f3 egyenlet a k\u00f6vetkez\u0151:&nbsp;<\/p>\n\n\n\n<p>Ha \ud835\udc651, \ud835\udc652, \ud835\udc653,... ,\ud835\udc65\ud835\udc41x1, x2, x3,... ,xN egy popul\u00e1ci\u00f3 egyedi \u00e9rt\u00e9kei, \u00e9s \u00b5 a popul\u00e1ci\u00f3 \u00e1tlaga, akkor a popul\u00e1ci\u00f3 sz\u00f3r\u00e1sa \ud835\udc49\ud835\udc4e\ud835\udc5f(\ud835\udc4b)=\ud835\udf0e2 a k\u00f6vetkez\u0151k\u00e9ppen sz\u00e1m\u00edthat\u00f3:&nbsp;<\/p>\n\n\n\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">\\sigma^{2}=\\frac{\\sum_{1}^{N}(xi-\\mu)^{2}}{N}<\/span><\/p>\n\n\n\n<p>A :&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>N: a popul\u00e1ci\u00f3 m\u00e9rete&nbsp;<\/li>\n\n\n\n<li>\u00b5: \u00e1tlagos n\u00e9pess\u00e9g&nbsp;<\/li>\n\n\n\n<li>xi: az i-edik popul\u00e1ci\u00f3s \u00e9rt\u00e9k&nbsp;<\/li>\n<\/ul>\n\n\n\n<p>Folyamatos val\u00f3sz\u00edn\u0171s\u00e9gi eloszl\u00e1s eset\u00e9n a variancia (\u03c3\u00b2) is kisz\u00e1m\u00edthat\u00f3 a k\u00f6vetkez\u0151 k\u00e9plettel :&nbsp;<\/p>\n\n\n\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">\\sigma^2=\\int_{}^{}(x-\\mu)^2*<em>f(x)*<\/em>dx<\/span><\/p>\n\n\n\n<p>A :&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>x: a v\u00e9letlen v\u00e1ltoz\u00f3t jel\u00f6li,&nbsp;&nbsp;<\/li>\n\n\n\n<li>\u03bc: az eloszl\u00e1s \u00e1tlaga,&nbsp;&nbsp;<\/li>\n\n\n\n<li>f(x): az eloszl\u00e1s val\u00f3sz\u00edn\u0171s\u00e9gi s\u0171r\u0171s\u00e9gf\u00fcggv\u00e9nye, amelyet a v\u00e9letlen v\u00e1ltoz\u00f3 lehets\u00e9ges \u00e9rt\u00e9keinek teljes ter\u00e9re integr\u00e1lunk.&nbsp;&nbsp;<\/li>\n<\/ul>\n\n\n\n<p>A val\u00f3s\u00e1gban azonban a legt\u00f6bb esetben \"n\" m\u00e9ret\u0171 \u00e9rt\u00e9kek (minta) sorozat\u00e1val rendelkez\u00fcnk, \u00e9s a popul\u00e1ci\u00f3 \u00e1tlaga gyakran ismeretlen. Ez\u00e9rt kisz\u00e1m\u00edtjuk a variancia k\u00f6zel\u00edt\u0151 \u00e9rt\u00e9k\u00e9t. Ezt gyakran az S\u00b2 kifejez\u00e9ssel jel\u00f6lik. Az alkalmazott sz\u00e1m\u00edt\u00e1si k\u00e9plet a k\u00f6vetkez\u0151:&nbsp;<\/p>\n\n\n\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">\\sigma^{2}=\\frac{\\sum_{1}^{N}(xi-\\mu)^{2}}{N-1}<\/span><\/p>\n\n\n\n<p>A :&nbsp;&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>n: a minta m\u00e9rete&nbsp;<\/li>\n\n\n\n<li>\ud835\udc65: a minta \u00e1tlaga&nbsp;<\/li>\n\n\n\n<li>xi: a minta i-edik \u00e9rt\u00e9ke&nbsp;<\/li>\n<\/ul>\n\n\n\n<p><strong>Mi\u00e9rt kell osztani n-1-gyel, ha ez egy minta?<\/strong>&nbsp;<\/p>\n\n\n\n<p>Ezt a korrekci\u00f3t Bessel-korrekci\u00f3nak nevezik. Ennek a korrekci\u00f3nak az az oka, hogy kompenz\u00e1lja a mint\u00e1b\u00f3l t\u00f6rt\u00e9n\u0151 sz\u00f3r\u00e1sbecsl\u00e9s esetleges torz\u00edt\u00e1s\u00e1t. Az n-1-gyel val\u00f3 oszt\u00e1ssal a popul\u00e1ci\u00f3 sz\u00f3r\u00e1s\u00e1nak torz\u00edt\u00e1smentes becsl\u00e9s\u00e9t kapjuk. Ez a korrekci\u00f3 k\u00fcl\u00f6n\u00f6sen fontos kis mint\u00e1k eset\u00e9n, ahol az n alapj\u00e1n becs\u00fclt variancia hajlamos alulbecs\u00fclni a popul\u00e1ci\u00f3 val\u00f3di v\u00e1ltoz\u00e9konys\u00e1g\u00e1t.&nbsp;<\/p>\n\n\n\n<p><strong>Mi\u00e9rt nem haszn\u00e1lj\u00e1k sz\u00e9les k\u00f6rben a varianci\u00e1t a v\u00e1ltoz\u00e9konys\u00e1g \u00e9rtelmez\u00e9s\u00e9re?<\/strong>&nbsp;<\/p>\n\n\n\n<p>A sz\u00f3r\u00e1s az adatok sz\u00f3r\u00f3d\u00e1s\u00e1nak fontos m\u00e9r\u0151sz\u00e1ma, de sz\u00e1mos gyakorlati \u00e9s \u00e9rtelmez\u00e9si okb\u00f3l kev\u00e9sb\u00e9 haszn\u00e1latos, mint a sz\u00f3r\u00e1s:&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>El\u0151sz\u00f6r is, a variancia az eredeti adatok n\u00e9gyzetm\u00e9rt\u00e9k\u00e9ben van megadva, ami megnehez\u00edti a k\u00f6zvetlen \u00e9rtelmez\u00e9st. (Ha az egyedi adatok m\u00e9terben vannak megadva, akkor a variancia n\u00e9gyzetm\u00e9terben lesz megadva).&nbsp;<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Tov\u00e1bb\u00e1 a variancia \u00e9rz\u00e9keny a sz\u00e9ls\u0151\u00e9rt\u00e9kekre, mivel az \u00e1tlagt\u00f3l val\u00f3 elt\u00e9r\u00e9sek n\u00e9gyzeteit foglalja mag\u00e1ban, ami torz\u00edthatja az \u00e1ltal\u00e1nos sz\u00f3r\u00e1s \u00e1br\u00e1zol\u00e1s\u00e1t, k\u00fcl\u00f6n\u00f6sen kiugr\u00f3 \u00e9rt\u00e9kek jelenl\u00e9t\u00e9ben.&nbsp;<\/li>\n<\/ul>\n\n\n\n<p>B\u00e1r a sz\u00f3r\u00e1s statisztikai szempontb\u00f3l alapvet\u0151 fontoss\u00e1g\u00fa, a sz\u00f3r\u00e1st el\u0151nyben r\u00e9szes\u00edtik, mivel k\u00f6nnyebben \u00e9rtelmezhet\u0151 \u00e9s pontosabb m\u00e9r\u0151sz\u00e1mot ad az adatok sz\u00f3r\u00f3d\u00e1s\u00e1r\u00f3l.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Standard elt\u00e9r\u00e9s :<\/h2>\n\n\n\n<p>Az eloszl\u00e1s sz\u00f3r\u00e1s\u00e1nak jellemz\u0151je az eloszl\u00e1s sz\u00f3r\u00e1sa a val\u00f3s sz\u00e1mok ter\u00e9ben. Min\u00e9l nagyobb a sz\u00f3r\u00e1s, ann\u00e1l sz\u00e9lesebb a sz\u00f3r\u00e1s. A sz\u00f3r\u00e1s kisz\u00e1m\u00edt\u00e1s\u00e1hoz egyszer\u0171en sz\u00e1m\u00edtsuk ki a sz\u00f3r\u00e1s n\u00e9gyzetgy\u00f6k\u00e9t:&nbsp;<\/p>\n\n\n\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">S=\\sqrt{\\frac{\\sum_{1}^{N}(xi-x)^{2}}{n-1}}<\/span><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>n: a minta m\u00e9rete&nbsp;<\/li>\n\n\n\n<li>\ud835\udc65: a minta \u00e1tlaga&nbsp;<\/li>\n\n\n\n<li>xi: a minta i-edik \u00e9rt\u00e9ke&nbsp;<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><img decoding=\"async\" alt=\"Diagramot, \u00e1br\u00e1t, k\u00e9perny\u0151k\u00e9pet, automatikusan gener\u00e1lt sz\u00f6veget tartalmaz\u00f3 k\u00e9p Le\u00edr\u00e1s\" src=\"blob:https:\/\/clooma.ai\/a722977f-b3cb-4254-a9f6-c1afed6bbed8\">&nbsp;<\/td><td>\u00a0Az M1 g\u00e9p standard elt\u00e9r\u00e9se \ud835\udc46=1\ud835\udc5a\ud835\udc5a\ud835\udc5aS=1mm\u00a0\u00a0<br><br>\u00a0A g\u00e9p M2 standard elt\u00e9r\u00e9se \ud835\udc46=4\ud835\udc5a\ud835\udc5a\ud835\udc5aS=4mm\u00a0\u00a0\u00a0<\/td><\/tr><\/tbody><\/table><figcaption class=\"wp-element-caption\">A szoftver haszn\u00e1lata <a href=\"https:\/\/clooma.ai\/hu\/adatelemzesi-megoldasok\/\">Ellistat adatelemz\u00e9s<\/a>.<\/figcaption><\/figure>\n\n\n\n<p>A sz\u00f3r\u00e1s a sz\u00f3r\u00e1ssal egyen\u00e9rt\u00e9k\u0171, de a mint\u00e1val azonos egys\u00e9gben van kifejezve. \u00c9rt\u00e9ke ez\u00e9rt k\u00f6nnyebben \u00e9rtelmezhet\u0151.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Sz\u00f3r\u00f3d\u00e1s&nbsp;<\/h2>\n\n\n\n<p>A sz\u00f3r\u00e1s matematikai szempontb\u00f3l j\u00f3 jellemz\u0151je a norm\u00e1lis eloszl\u00e1snak, de nincs val\u00f3di intuit\u00edv megfelel\u0151je. Ez\u00e9rt ink\u00e1bb a sz\u00f3r\u00f3d\u00e1s kifejez\u00e9st haszn\u00e1ljuk, amely megfelel :&nbsp;<\/p>\n\n\n\n<p>Sz\u00f3r\u00e1s = annak az \u00e9rt\u00e9kintervallumnak a sz\u00e9less\u00e9ge, amelyben az \u00e9rt\u00e9kek 99,73%-je megfigyelhet\u0151.&nbsp;<\/p>\n\n\n\n<p>Norm\u00e1lis eloszl\u00e1s eset\u00e9n a sz\u00f3r\u00e1st egyszer\u0171en kisz\u00e1m\u00edtjuk :&nbsp;<\/p>\n\n\n\n<p class=\"has-text-align-center\">\ud835\udc37\ud835\udc56\ud835\udc60\ud835\udc5d\ud835\udc52\ud835\udc5f\ud835\udc60\ud835\udc56\ud835\udc5c\ud835\udc5b=6\u2217\ud835\udf0e<\/p>\n\n\n\n<p>A sz\u00f3r\u00e1s fogalma sokkal intuit\u00edvabb, mint a sz\u00f3r\u00e1s sz\u00f3r\u00e1sa. Vegy\u00fck p\u00e9ld\u00e1nak a k\u00f6vetkez\u0151 adatokat. Ez egy 1000 adatpontb\u00f3l \u00e1ll\u00f3 megfigyel\u00e9s, norm\u00e1l eloszl\u00e1ssal, 0 \u00e1tlaggal \u00e9s 1 sz\u00f3r\u00e1ssal.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/clooma.ai\/wp-content\/uploads\/image-7.png\" alt=\"\" class=\"wp-image-2684\"\/><\/figure>\n\n\n\n<p>Ha intuit\u00edv m\u00f3don szeretn\u00e9nk jellemezni ezeknek az \u00e9rt\u00e9keknek a sz\u00f3r\u00e1s\u00e1t, akkor hajlamosak lenn\u00e9nk azt mondani, hogy az \u00e9rt\u00e9kek sz\u00f3r\u00e1sa 6 k\u00f6r\u00fcl van, mivel a megfigyelt \u00e9rt\u00e9kek -3 \u00e9s +3 k\u00f6z\u00f6tt helyezkednek el.&nbsp;<\/p>\n\n\n\n<p>A sz\u00f3r\u00e1s intuit\u00edv defin\u00edci\u00f3ja val\u00f3j\u00e1ban a minta tartom\u00e1ny\u00e1nak felel meg (tartom\u00e1ny = Max - Min). A tartom\u00e1nynak mint az eloszl\u00e1s jellemz\u0151j\u00e9nek haszn\u00e1lat\u00e1nak azonban nincs statisztikai \u00e9rtelme. A norm\u00e1lis eloszl\u00e1s -\u221e \u00e9s +\u221e k\u00f6z\u00f6tt v\u00e1ltozik, \u00edgy ennek az eloszl\u00e1snak a tartom\u00e1nya \u221e lenne.&nbsp;<\/p>\n\n\n\n<p>A sz\u00f3r\u00e1s megfelel a v\u00e1ltoz\u00e9konys\u00e1g intuit\u00edv defin\u00edci\u00f3j\u00e1nak, de van egy statisztikai jelent\u00e9se is. Ez az az intervallum, amelyen bel\u00fcl gyakorlatilag az \u00f6sszes \u00e9rt\u00e9ket megfigyelj\u00fck, azaz az \u00e9rt\u00e9kek 99,73%-j\u00e9t.&nbsp;<\/p>","protected":false},"featured_media":0,"template":"","meta":{"_acf_changed":false},"menu-ressource-pedagogique":[27],"class_list":["post-2682","ressource-pedagogiqu","type-ressource-pedagogiqu","status-publish","hentry","menu-ressource-pedagogique-3-statistiques-descriptives"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Param\u00e8tres statistiques de variabilit\u00e9 - Clooma<\/title>\n<meta name=\"description\" content=\"En statistique, un indicateur de dispersion \u00e9value la variabilit\u00e9 des valeurs dans un ensemble de donn\u00e9es.Il est toujours un nombre positif.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/clooma.ai\/hu\/oktatasi-forras\/a-valtozekonysag-statisztikai-parameterei\/\" \/>\n<meta property=\"og:locale\" content=\"hu_HU\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Param\u00e8tres statistiques de variabilit\u00e9 - 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