{"id":92,"date":"2023-08-05T13:52:09","date_gmt":"2023-08-05T13:52:09","guid":{"rendered":"https:\/\/statorials.org\/tr\/aykiri-degerler\/"},"modified":"2023-08-05T13:52:09","modified_gmt":"2023-08-05T13:52:09","slug":"aykiri-degerler","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/aykiri-degerler\/","title":{"rendered":"Atipik de\u011ferler (ayk\u0131r\u0131 de\u011ferler)"},"content":{"rendered":"<p>Bu makalede ayk\u0131r\u0131 de\u011ferlerin ne oldu\u011fu ve nas\u0131l hesapland\u0131klar\u0131 a\u00e7\u0131klanmaktad\u0131r. Ek olarak, herhangi bir veri \u00f6rne\u011fi i\u00e7in ayk\u0131r\u0131 de\u011ferleri \u00e7evrimi\u00e7i bir hesap makinesiyle hesaplayabilirsiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-son-los-valores-atipicos-outliers\"><\/span> Ayk\u0131r\u0131 de\u011ferler nelerdir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0130statistiklerde, <strong>ayk\u0131r\u0131<\/strong> <strong>de\u011ferler<\/strong> veya <strong>ayk\u0131r\u0131 de\u011ferler<\/strong> olarak da adland\u0131r\u0131lan ayk\u0131r\u0131 de\u011ferler, veri k\u00fcmesinin geri kalan\u0131ndan \u00f6nemli \u00f6l\u00e7\u00fcde farkl\u0131 olan de\u011ferlerdir. Ba\u015fka bir deyi\u015fle ayk\u0131r\u0131 de\u011fer, \u00f6rnekteki di\u011fer de\u011ferlerden son derece farkl\u0131 olan anormal bir de\u011ferdir.<\/p>\n<p> Bir \u00f6rnekteki ayk\u0131r\u0131 de\u011ferlerin belirlenmesi \u00f6nemlidir \u00e7\u00fcnk\u00fc bunlar istatistiksel \u00f6l\u00e7\u00fcmlerin hesaplanmas\u0131n\u0131 \u00f6nemli \u00f6l\u00e7\u00fcde etkileyebilir.<\/p>\n<p> \u00d6rne\u011fin, [1, 3, 5, 2, 79, 4, 8, 6] veri serimiz varsa, 79 say\u0131s\u0131 a\u00e7\u0131k\u00e7a ayk\u0131r\u0131d\u0131r. \u00c7\u00fcnk\u00fc de\u011feri di\u011fer verilere g\u00f6re son derece y\u00fcksektir. Bu durumda ayk\u0131r\u0131 de\u011fer dahil ortalama 13,5, ayk\u0131r\u0131 de\u011fer olmadan ortalama 4,14 olacakt\u0131r. G\u00f6rd\u00fc\u011f\u00fcn\u00fcz gibi tek bir ayk\u0131r\u0131 de\u011fer istatistiksel \u00f6l\u00e7\u00fcm\u00fcn sonucunu zaten \u00f6nemli \u00f6l\u00e7\u00fcde etkiliyor.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-6c54b9fbcc34da705376cb682980ca58_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\" 1, \\ 3, \\ 5, \\ 2, \\ 79, \\ 4, \\ 8, \\ 6 \\quad \\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad \\text{Valor at\\'ipico: } 79\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"464\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> Tipik olarak ayk\u0131r\u0131 de\u011ferler, verilerin geri kalan\u0131ndan izole edildikleri i\u00e7in da\u011f\u0131l\u0131m grafiklerinde kolayl\u0131kla ay\u0131rt edilebilirler. A\u015fa\u011f\u0131daki da\u011f\u0131l\u0131m grafi\u011fine bak\u0131n, ayk\u0131r\u0131 de\u011fer di\u011fer de\u011ferlerden \u00e7ok ayr\u0131d\u0131r: <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/valeurs-aberrantes.png\" alt=\"ayk\u0131r\u0131 de\u011ferlerin veya di\u011ferlerinin da\u011f\u0131l\u0131m grafi\u011fi\" class=\"wp-image-1987\" width=\"256\" height=\"222\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> \ud83d\udc49Herhangi <u style=\"text-decoration-color:#FF8A05;\">bir veri seti i\u00e7in ayk\u0131r\u0131 de\u011ferleri bulmak i\u00e7in a\u015fa\u011f\u0131daki hesaplay\u0131c\u0131y\u0131 kullanabilirsiniz.<\/u> <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-calcular-los-valores-atipicos\"><\/span> Ayk\u0131r\u0131 de\u011ferler nas\u0131l hesaplan\u0131r<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Bir veri \u00f6rne\u011finden ayk\u0131r\u0131 de\u011ferleri hesaplamak i\u00e7in a\u015fa\u011f\u0131daki ad\u0131mlar izlenmelidir:<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">Veri k\u00fcmesinin \u00e7eyreklerini hesaplay\u0131n.<\/span><\/li>\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">Verilerin \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131n\u0131 hesaplay\u0131n.<\/span><\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\">Atipik de\u011ferler (ayk\u0131r\u0131 de\u011ferler), a\u015fa\u011f\u0131daki ko\u015fullardan birini kar\u015f\u0131layan de\u011ferler olarak kabul edilecektir:<\/span>\n<ul style=\"color:#FF8A05; font-weight: bold; margin-top:12px\">\n<li style=\"margin-bottom:15px\"><span style=\"color:#101010;font-weight: normal;\">De\u011fer, ilk \u00e7eyrek eksi \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131n 1,5 kat\u0131ndan azd\u0131r.<\/span><\/li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3d701496f3299d916488013b89b3bcf3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"q\n\n<li style=&quot;margin-bottom:15px&quot;> <span style=&quot;color:#101010;font-weight: normal;&quot;>La valeur est sup\u00e9rieure au troisi\u00e8me quartile plus 1,5 fois l&#8217;intervalle interquartile.<\/span><\/li>\n<p>[latex]q>Q_3+1,5\\cdot IQR&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;84&#8243; width=&#8221;646&#8243; style=&#8221;vertical-align: -5px;&#8221;><\/p>\n<\/p>\n<\/ul>\n<\/li>\n<\/ol>\n<p> Bu nedenle, bir olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131ndan ayk\u0131r\u0131 de\u011ferleri \u00e7\u0131karmak i\u00e7in, bir numunenin \u00e7eyreklerinin ve \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131n\u0131n nas\u0131l hesapland\u0131\u011f\u0131n\u0131 bilmeniz gerekir. Herhangi bir sorunuz varsa, bunun nas\u0131l yap\u0131laca\u011f\u0131n\u0131 ayr\u0131nt\u0131l\u0131 olarak a\u00e7\u0131klayan iki ba\u011flant\u0131y\u0131 burada bulabilirsiniz: <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/ceyrekler\/\">\u00e7eyrekler nas\u0131l hesaplan\u0131r<\/a><br \/> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/ceyrekler-arasi-ceyrekler-arasi-aralik\/\">\u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131n nas\u0131l hesaplanaca\u011f\u0131<\/a><\/div>\n<p> A\u015fa\u011f\u0131daki <span style=\"text-decoration: underline;\"><a href=\"https:\/\/statorials.org\/tr\/kutu-ve-biyik-grafigi-kutu-grafigi\/\">kutu grafi\u011finde<\/a><\/span> , bu kritere g\u00f6re grafiksel olarak g\u00f6sterilen iki ayk\u0131r\u0131 de\u011feri g\u00f6rebilirsiniz: <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/valeurs-aberrantes-outliers-boxplot.png\" alt=\"kutu grafi\u011fi ayk\u0131r\u0131 de\u011ferleri\" class=\"wp-image-1995\" width=\"246\" height=\"453\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> <strong>Not:<\/strong> Verilerin ayk\u0131r\u0131 de\u011fer olarak de\u011ferlendirilece\u011fi s\u0131n\u0131rlar\u0131 belirlemek i\u00e7in \u00e7e\u015fitli kriterlerin bulundu\u011funu unutmay\u0131n. Bu makalede en \u00e7ok kullan\u0131lan\u0131 olmas\u0131 nedeniyle Tukey testi kriteri referans al\u0131nm\u0131\u015ft\u0131r. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-valores-atipicos\"><\/span> Ayk\u0131r\u0131 de\u011ferler \u00f6rne\u011fi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Ayk\u0131r\u0131 de\u011ferin tan\u0131m\u0131n\u0131 g\u00f6z \u00f6n\u00fcnde bulundurarak, bu b\u00f6l\u00fcmde bir veri serisindeki ayk\u0131r\u0131 de\u011ferlerin nas\u0131l tan\u0131mlanaca\u011f\u0131na dair pratik bir \u00f6rnek g\u00f6rece\u011fiz.<\/p>\n<ul>\n<li> A\u015fa\u011f\u0131daki istatistiksel veri setinden ayk\u0131r\u0131 de\u011ferleri veya ayk\u0131r\u0131 de\u011ferleri hesaplay\u0131n. <\/li>\n<\/ul>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/exemple-de-donnees-ordonnees-resolues.png\" alt=\"\" class=\"wp-image-1510\" width=\"360\" height=\"153\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> \u0130lk olarak veri setinin \u00fc\u00e7 \u00e7eyre\u011fini hesapl\u0131yoruz: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-cb06c41d2b1745e423e32e362a215782_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q_1=4,06\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"80\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-50a1c84fc51c11756af3dc1b07260437_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q_2=4,38\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"80\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-e7f166b963a9fdc6e0a0677ae2c21861_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q_3=4,66\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"80\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u00dc\u00e7 \u00e7eyre\u011fi bulduktan sonra \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131, \u00e7eyrek 3 eksi \u00e7eyrek 1&#8217;i \u00e7\u0131kararak buluruz:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-f287d0b87fff4e2a44ce1b98501b938a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"IQR=Q_3-Q_1=4,66-4,06=0,6\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"289\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u015eimdi ayk\u0131r\u0131 de\u011ferlerin belirledi\u011fi s\u0131n\u0131rlar\u0131 hesapl\u0131yoruz. Bunu yapmak i\u00e7in yukar\u0131daki b\u00f6l\u00fcmde a\u00e7\u0131klanan form\u00fclleri kullan\u0131yoruz:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-249fe40eff2d2ddc8dda38ea707ef86a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q_1-1,5\\cdot IQR=4,06-1,5\\cdot 0,6=3,16\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"321\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-320d8a76fc0d3d41365b7ccf888d2e74_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q_3+1,5\\cdot IQR=4,66+1,5\\cdot 0,6=5,56\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"321\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> Yani de\u011ferlerden herhangi biri 3,16&#8217;dan k\u00fc\u00e7\u00fckse bu bir ayk\u0131r\u0131 de\u011ferdir. Benzer \u015fekilde, e\u011fer bir de\u011fer 5,56&#8217;dan b\u00fcy\u00fckse bu ayn\u0131 zamanda bir ayk\u0131r\u0131 de\u011ferdir.<\/p>\n<p> Sonu\u00e7 olarak, bu durumda iki u\u00e7 de\u011ferimiz var \u00e7\u00fcnk\u00fc 3,02, 3,16&#8217;dan k\u00fc\u00e7\u00fck ve 5,71, 5,56&#8217;dan b\u00fcy\u00fck. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-c4ffd0f80e7456c53e82a80a8631b54b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Valores at\\'ipicos} =\\Bigl\\{3,02 \\ ; \\ 5,71\\Bigr\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"256\" style=\"vertical-align: -11px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"calculadora-de-valores-atipicos\"><\/span> Ayk\u0131r\u0131 De\u011fer Hesaplay\u0131c\u0131<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Varsa ayk\u0131r\u0131 de\u011ferleri hesaplamak i\u00e7in a\u015fa\u011f\u0131daki hesap makinesine bir istatistiksel veri seti girin. Veriler bir bo\u015flukla ayr\u0131lmal\u0131 ve ondal\u0131k ay\u0131r\u0131c\u0131 olarak nokta kullan\u0131larak girilmelidir. <\/p>\n<form action=\"\" method=\"post\"><textarea name=\"datos\" style=\"border:1.5px solid #4FC3F7; border-radius:15px;\" placeholder=\"3 4 9 7 2 3.4 1 5.2 11 6 ...\" required=\"\" oninvalid=\"this.setCustomValidity('Introduce los datos aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/textarea><\/p>\n<div style=\"text-align:center\"><input align=\"center\" style=\"border-radius:30px; margin: 20px\" type=\"submit\" name=\"submit\" value=\"Ayk\u0131r\u0131 de\u011ferleri hesapla\"><\/div>\n<\/form>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"causas-de-los-valores-atipicos\"><\/span> Ayk\u0131r\u0131 de\u011ferlerin nedenleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Ayk\u0131r\u0131 de\u011ferlerin birka\u00e7 olas\u0131 nedeni vard\u0131r; en yayg\u0131n olanlar\u0131 \u015funlard\u0131r:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">\u00d6l\u00e7\u00fcm yapmak i\u00e7in kullan\u0131lan cihaz bozuldu veya kaza ge\u00e7irdi.<\/span><\/li>\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">\u00d6l\u00e7\u00fclen par\u00e7ada anormal bir nedenden dolay\u0131 kusur vard\u0131.<\/span><\/li>\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">Verilerin iletiminde veya transkripsiyonunda bir hata olu\u015ftu.<\/span><\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\">Bir insan hatas\u0131 vard\u0131. Al\u0131nan \u00f6nlemler ne olursa olsun insan hatalar\u0131 tamamen ka\u00e7\u0131n\u0131lmaz de\u011fildir ve bu nedenle anormal de\u011ferler hala mevcut olabilir.<\/span><\/li>\n<\/ul>\n<p> Bunlar en yayg\u0131n nedenlerdir, ancak nedenin herhangi bir \u015fey olabilece\u011fi a\u00e7\u0131kt\u0131r. Ayn\u0131 \u015fekilde \u00e7ok say\u0131da g\u00f6zlemle istatistiksel bir \u00e7al\u0131\u015fma yap\u0131ld\u0131\u011f\u0131nda baz\u0131 ayk\u0131r\u0131 de\u011ferlerin ortaya \u00e7\u0131kmas\u0131n\u0131n normal oldu\u011fu dikkate al\u0131nmal\u0131d\u0131r. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"que-hacer-con-los-valores-atipicos\"><\/span> Ayk\u0131r\u0131 de\u011ferlerle ne yapmal\u0131<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Bir ayk\u0131r\u0131 de\u011ferle kar\u015f\u0131la\u015ft\u0131\u011f\u0131m\u0131zda ortak soru onunla ne yapmam\u0131z gerekti\u011fidir. Ayk\u0131r\u0131 de\u011ferler \u00f6rnekten \u00e7\u0131kar\u0131lmal\u0131 m\u0131?<\/p>\n<p> Ayk\u0131r\u0131 de\u011ferlerin her zaman ortadan kald\u0131r\u0131lmas\u0131 gerekti\u011fine inan\u0131lmaktad\u0131r \u00e7\u00fcnk\u00fc bunlar, k\u00fcmenin geri kalan\u0131na benzemeyen verilerdir. Ancak ayk\u0131r\u0131 de\u011ferler baz\u0131 istatistiksel \u00f6l\u00e7\u00fcmlerin sonu\u00e7lar\u0131n\u0131 b\u00fcy\u00fck \u00f6l\u00e7\u00fcde etkilese de bu onlar\u0131n her zaman ortadan kald\u0131r\u0131lmas\u0131 gerekti\u011fi anlam\u0131na gelmez.<\/p>\n<p> Genel olarak, <strong>ayk\u0131r\u0131 de\u011ferlerin yaln\u0131zca anormalli\u011fin nedeninin ger\u00e7ekten hakl\u0131 oldu\u011funu bildi\u011fimiz takdirde kald\u0131r\u0131lmas\u0131 gerekir<\/strong> ve dolay\u0131s\u0131yla bu ayk\u0131r\u0131 de\u011ferler, \u00fczerinde \u00e7al\u0131\u015f\u0131lan \u015feyle e\u015fle\u015fmeyen g\u00f6zlemlerdir.<\/p>\n<p> A\u015f\u0131r\u0131 de\u011ferler istatistiksel \u00f6l\u00e7\u00fcmleri daha fazla etkiledi\u011finden, bu \u00f6zellikle k\u00fc\u00e7\u00fck \u00f6rneklem boyutlar\u0131nda \u00f6nemlidir.<\/p>\n<p> \u00d6rne\u011fin, kalite kontrol\u00fc yapmak i\u00e7in bir \u00fcr\u00fcn\u00fcn bir par\u00e7as\u0131n\u0131n uzunlu\u011fu \u00f6l\u00e7\u00fcl\u00fcyorsa, mant\u0131ksal olarak birdenbire ba\u015fka t\u00fcrde bir \u00fcr\u00fcn ortaya \u00e7\u0131karsa ve ayn\u0131 par\u00e7a \u00f6l\u00e7\u00fcl\u00fcrse, \u00f6l\u00e7\u00fclen de\u011fer \u00f6ncekilerden \u00e7ok farkl\u0131 olacak ve muhtemelen ayk\u0131r\u0131 olmak. Bu durumda, nedeni bilindi\u011finden ve \u00f6l\u00e7\u00fclen verilerin analiz edilmesi ama\u00e7lanan pop\u00fclasyonun bir par\u00e7as\u0131 olmad\u0131\u011f\u0131 bilindi\u011finden ayk\u0131r\u0131 de\u011fer g\u00f6z ard\u0131 edilebilir.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bu makalede ayk\u0131r\u0131 de\u011ferlerin ne oldu\u011fu ve nas\u0131l hesapland\u0131klar\u0131 a\u00e7\u0131klanmaktad\u0131r. Ek olarak, herhangi bir veri \u00f6rne\u011fi i\u00e7in ayk\u0131r\u0131 de\u011ferleri \u00e7evrimi\u00e7i bir hesap makinesiyle hesaplayabilirsiniz. Ayk\u0131r\u0131 de\u011ferler nelerdir? \u0130statistiklerde, ayk\u0131r\u0131 de\u011ferler veya ayk\u0131r\u0131 de\u011ferler olarak da adland\u0131r\u0131lan ayk\u0131r\u0131 de\u011ferler, veri k\u00fcmesinin geri kalan\u0131ndan \u00f6nemli \u00f6l\u00e7\u00fcde farkl\u0131 olan de\u011ferlerdir. Ba\u015fka bir deyi\u015fle ayk\u0131r\u0131 de\u011fer, \u00f6rnekteki di\u011fer de\u011ferlerden [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[14],"tags":[],"class_list":["post-92","post","type-post","status-publish","format-standard","hentry","category-istatistik"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Ayk\u0131r\u0131 de\u011ferler: ne olduklar\u0131, \u00f6rnekler, hesap makinesi,...<\/title>\n<meta name=\"description\" content=\"Ayk\u0131r\u0131 de\u011ferler nelerdir? - Ayk\u0131r\u0131 de\u011ferler nas\u0131l hesaplan\u0131r - Hesap Makinesi - Ayk\u0131r\u0131 de\u011ferlerin nedenleri - Ayk\u0131r\u0131 de\u011ferlerle ne yapmal\u0131?\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/tr\/aykiri-degerler\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 Ayk\u0131r\u0131 de\u011ferler: ne olduklar\u0131, \u00f6rnekler, hesap makinesi,...\" \/>\n<meta property=\"og:description\" content=\"Ayk\u0131r\u0131 de\u011ferler nelerdir? 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