{"id":2392,"date":"2023-07-22T11:40:42","date_gmt":"2023-07-22T11:40:42","guid":{"rendered":"https:\/\/statorials.org\/tr\/aykiri-gercek-ornekler\/"},"modified":"2023-07-22T11:40:42","modified_gmt":"2023-07-22T11:40:42","slug":"aykiri-gercek-ornekler","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/aykiri-gercek-ornekler\/","title":{"rendered":"Ger\u00e7ek hayattan ayk\u0131r\u0131 de\u011ferlere 5 \u00f6rnek"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Ayk\u0131r\u0131 de\u011fer<\/strong> , bir veri k\u00fcmesindeki di\u011fer de\u011ferlerden anormal derecede uzak olan bir veri noktas\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Genellikle bir veri noktas\u0131n\u0131, \u00fc\u00e7\u00fcnc\u00fc \u00e7eyre\u011fin \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131n\u0131n 1,5 kat\u0131 \u00fczerinde veya bir veri k\u00fcmesinin ilk \u00e7eyre\u011finin alt\u0131ndaki \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131n 1,5 kat\u0131 ise ayk\u0131r\u0131 de\u011fer olarak tan\u0131mlar\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Not<\/strong> : \u00c7eyrekler aras\u0131 aral\u0131k, bir veri setinin \u00fc\u00e7\u00fcnc\u00fc \u00e7eyre\u011fi (75. y\u00fczdelik dilim) ile ilk \u00e7eyre\u011fi (25. y\u00fczdelik dilim) aras\u0131ndaki farkt\u0131r.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-13072 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/iqroutlier1.png\" alt=\"\" width=\"675\" height=\"179\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki senaryolar ger\u00e7ek d\u00fcnyadaki durumlardaki ayk\u0131r\u0131 de\u011ferlerin \u00f6rneklerini g\u00f6stermektedir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: Ayk\u0131r\u0131 gelir de\u011ferleri<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Ayk\u0131r\u0131 de\u011ferlerin s\u0131kl\u0131kla ortaya \u00e7\u0131kt\u0131\u011f\u0131 somut bir senaryo, gelir da\u011f\u0131l\u0131m\u0131 senaryosudur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, belirli bir \u00fclkede y\u0131ll\u0131k gelirin 25. y\u00fczdelik dilimi (Q1) y\u0131ll\u0131k 15.000 ABD Dolar\u0131 olabilir ve 75. y\u00fczdelik dilim (Q3) y\u0131ll\u0131k 120.000 ABD Dolar\u0131 olabilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00c7eyrekler aras\u0131 aral\u0131k (IQR) \u015fu \u015fekilde hesaplan\u0131r: 120.000 ABD Dolar\u0131 \u2013 15.000 ABD Dolar\u0131 = 105.000 ABD Dolar\u0131.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, geliri a\u015fa\u011f\u0131daki s\u0131n\u0131rlar\u0131n d\u0131\u015f\u0131na \u00e7\u0131kan herkesin ayk\u0131r\u0131 de\u011fer olarak de\u011ferlendirilece\u011fi anlam\u0131na gelir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Alt limit<\/strong> : 1. \u00c7eyrek \u2013 1,5*IQR = 15.000 ABD Dolar\u0131 \u2013 1,5*105.000 ABD Dolar\u0131 = -142.500 ABD Dolar\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u00dcst limit<\/strong> : 3. \u00c7eyrek + 1,5*IQR = 120.000 ABD Dolar\u0131 + 1,5*105.000 ABD Dolar\u0131 = 277.500 ABD Dolar\u0131<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Net serveti trilyonlarca dolar olan Elon Musk gibi birinin y\u0131ll\u0131k geliri a\u00e7\u0131s\u0131ndan ayk\u0131r\u0131 oldu\u011fu d\u00fc\u015f\u00fcn\u00fcl\u00fcr.<\/span><\/p>\n<p> <em><span style=\"color: #000000;\"><strong>Not<\/strong> : Alt limitin \u00f6tesindeki ayk\u0131r\u0131 de\u011ferlerin de\u011feri her zaman anlaml\u0131 de\u011fildir, \u00f6rne\u011fin negatif y\u0131ll\u0131k gelir elde etmek m\u00fcmk\u00fcn de\u011fildir.<\/span><\/em><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 2: Apne Ayk\u0131r\u0131 De\u011ferleri<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Ayk\u0131r\u0131 de\u011ferlerin s\u0131kl\u0131kla ortaya \u00e7\u0131kt\u0131\u011f\u0131 bir di\u011fer ger\u00e7ek d\u00fcnya senaryosu apnedir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin bireylerin nefeslerini ne kadar s\u00fcre tutabildiklerini g\u00f6steren 25. y\u00fczdelik dilim (Q1) yakla\u015f\u0131k 15 saniye, 75. y\u00fczdelik dilim (Q3) ise yakla\u015f\u0131k 75 saniyedir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00c7eyrekler aras\u0131 aral\u0131k (IQR) \u015fu \u015fekilde hesaplan\u0131r: 75 \u2013 15 = 60.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, a\u015fa\u011f\u0131daki s\u0131n\u0131rlar\u0131n d\u0131\u015f\u0131nda nefesini tutabilen herkesin ayk\u0131r\u0131 de\u011fer olarak de\u011ferlendirilece\u011fi anlam\u0131na gelir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Alt limit<\/strong> : Q1 \u2013 1,5*IQR = 15 \u2013 1,5*60 = -75 saniye<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u00dcst s\u0131n\u0131r<\/strong> : Q3 + 1,5*IQR = 75 + 1,5*60 = 165 saniye<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Nefesini 10 dakika veya daha uzun s\u00fcre tutabilen t\u00fcm <a href=\"https:\/\/en.wikipedia.org\/wiki\/Freediving\" target=\"_blank\" rel=\"noopener\">serbest dalg\u0131\u00e7lar<\/a> , nefeslerini 165 saniyeden \u00e7ok daha uzun s\u00fcre tutabildikleri i\u00e7in ayk\u0131r\u0131 olarak de\u011ferlendirilecektir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 3: Hayvan boyutunda ayk\u0131r\u0131 de\u011ferler<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Ayk\u0131r\u0131 de\u011ferlerin s\u0131kl\u0131kla ortaya \u00e7\u0131kt\u0131\u011f\u0131 bir ba\u015fka ger\u00e7ek d\u00fcnya senaryosu da hayvan boyutudur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, at boyunun 25. y\u00fczdelik dilimi (Q1) yakla\u015f\u0131k 5 fit ve 75. y\u00fczdelik dilimi (Q3) yakla\u015f\u0131k 5,5 fittir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00c7eyrekler aras\u0131 aral\u0131k (IQR) \u015fu \u015fekilde hesaplan\u0131r: 5,5 \u2013 5 = 0,5 feet.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, b\u00fcy\u00fckl\u00fc\u011f\u00fc a\u015fa\u011f\u0131daki s\u0131n\u0131rlar\u0131n d\u0131\u015f\u0131na \u00e7\u0131kan herhangi bir at\u0131n ayk\u0131r\u0131 de\u011fer olarak de\u011ferlendirilece\u011fi anlam\u0131na gelir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Alt s\u0131n\u0131r<\/strong> : Q1 \u2013 1,5*IQR = 5 \u2013 1,5*0,5 = 4,25 feet<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u00dcst s\u0131n\u0131r<\/strong> : Q3 + 1,5*IQR = 5 + 1,5*0,5 = 5,75 fit<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/www.guinnessworldrecords.com\/\" target=\"_blank\" rel=\"noopener\">Guinness D\u00fcnya Rekorlar\u0131&#8217;na<\/a> g\u00f6re t\u00fcm zamanlar\u0131n en uzun at\u0131 rekoru 2 metrenin biraz \u00fczerindedir. Bu, 5,75 fitlik \u00fcst s\u0131n\u0131r\u0131n \u00fczerinde oldu\u011fundan, bu at\u0131n a\u00e7\u0131k\u00e7a ayk\u0131r\u0131 oldu\u011fu d\u00fc\u015f\u00fcn\u00fclebilir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 4: Sinema bileti sat\u0131\u015flar\u0131nda ayk\u0131r\u0131 de\u011ferler<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Ayk\u0131r\u0131 de\u011ferlerin s\u0131kl\u0131kla ortaya \u00e7\u0131kt\u0131\u011f\u0131 bir ba\u015fka ger\u00e7ek d\u00fcnya senaryosu da sinema bileti sat\u0131\u015flar\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, br\u00fct sinema bileti sat\u0131\u015flar\u0131n\u0131n 25. y\u00fczdelik dilimi (1. \u00c7eyrek) yakla\u015f\u0131k 2 milyon dolar, 75. y\u00fczdelik dilimi (3. \u00c7eyrek) ise yakla\u015f\u0131k 15 milyon dolar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00c7eyrekler aras\u0131 aral\u0131k (IQR) \u015fu \u015fekilde hesaplanacakt\u0131r: 15 milyon $ \u2013 2 milyon $ = 13 milyon $.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, br\u00fct sat\u0131\u015flar\u0131 a\u015fa\u011f\u0131daki s\u0131n\u0131rlar\u0131n d\u0131\u015f\u0131na \u00e7\u0131kan herhangi bir filmin ayk\u0131r\u0131 de\u011fer olarak de\u011ferlendirilece\u011fi anlam\u0131na gelir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Alt limit<\/strong> : T1 \u2013 1,5*IQR = 2 milyon $ \u2013 1,5*13 milyon $ = -17,5 milyon $<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u00dcst limit<\/strong> : T3 + 1,5*IQR = 15 milyon $ + 1,5*13 milyon $ = 34,5 milyon $<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u00c7o\u011fu Star Wars filmi 34,5 milyon dolar\u0131n \u00fczerinde has\u0131lat elde etti ve bu da onlar\u0131 bilet sat\u0131\u015flar\u0131 a\u00e7\u0131s\u0131ndan s\u0131ra d\u0131\u015f\u0131 k\u0131ld\u0131.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 5: Ma\u00e7 ba\u015f\u0131na kazan\u0131lan puanlarda ayk\u0131r\u0131 de\u011ferler<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Ayk\u0131r\u0131 de\u011ferlerin s\u0131kl\u0131kla ortaya \u00e7\u0131kt\u0131\u011f\u0131 bir di\u011fer ger\u00e7ek d\u00fcnya alan\u0131 da profesyonel sporlard\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, NBA oyuncular\u0131n\u0131n att\u0131\u011f\u0131 say\u0131lar\u0131n 25&#8217;inci y\u00fczdelik dilimi (Q1) ma\u00e7 ba\u015f\u0131na yakla\u015f\u0131k 5 say\u0131d\u0131r ve 75&#8217;inci y\u00fczdelik dilimi (Q3) ma\u00e7 ba\u015f\u0131na yakla\u015f\u0131k 15 say\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00c7eyrekler aras\u0131 aral\u0131k (IQR) \u015fu \u015fekilde hesaplan\u0131r: 15 \u2013 5 = 10 puan.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, ortalamas\u0131 a\u015fa\u011f\u0131daki limitlerin d\u0131\u015f\u0131na \u00e7\u0131kan herhangi bir oyuncunun ayk\u0131r\u0131 de\u011fer olarak de\u011ferlendirilece\u011fi anlam\u0131na gelir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Alt s\u0131n\u0131r<\/strong> : Q1 \u2013 1,5*IQR = 5 \u2013 1,5*10 = -10 puan<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u00dcst s\u0131n\u0131r<\/strong> : Q3 + 1,5*IQR = 15 + 1,5*10 = 30 puan<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/List_of_National_Basketball_Association_single-season_scoring_leaders\" target=\"_blank\" rel=\"noopener\">Bir\u00e7ok NBA sezonunda<\/a> , en y\u00fcksek skoru alan oyuncu genellikle ma\u00e7 ba\u015f\u0131na 30 say\u0131n\u0131n biraz \u00fczerinde say\u0131 at\u0131yor ve bu da onu s\u0131ra d\u0131\u015f\u0131 bir oyuncu yap\u0131yor.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimlerde, \u00e7e\u015fitli istatistiksel yaz\u0131l\u0131mlar kullan\u0131larak veri k\u00fcmelerindeki ayk\u0131r\u0131 de\u011ferlerin nas\u0131l bulunaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/excel-aykiri-degerleri\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de Ayk\u0131r\u0131 De\u011ferler Nas\u0131l Bulunur?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/aykiri-degerleri-kaldir-r\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de ayk\u0131r\u0131 de\u011ferler nas\u0131l bulunur?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/aykiri-degerleri-kaldir-python\/\" target=\"_blank\" rel=\"noopener\">Python&#8217;da ayk\u0131r\u0131 de\u011ferler nas\u0131l bulunur?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/spss-aykiri-degerleri\/\" target=\"_blank\" rel=\"noopener\">SPSS&#8217;de ayk\u0131r\u0131 de\u011ferler nas\u0131l bulunur?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Ayk\u0131r\u0131 de\u011fer , bir veri k\u00fcmesindeki di\u011fer de\u011ferlerden anormal derecede uzak olan bir veri noktas\u0131d\u0131r. Genellikle bir veri noktas\u0131n\u0131, \u00fc\u00e7\u00fcnc\u00fc \u00e7eyre\u011fin \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131n\u0131n 1,5 kat\u0131 \u00fczerinde veya bir veri k\u00fcmesinin ilk \u00e7eyre\u011finin alt\u0131ndaki \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131n 1,5 kat\u0131 ise ayk\u0131r\u0131 de\u011fer olarak tan\u0131mlar\u0131z. Not : \u00c7eyrekler aras\u0131 aral\u0131k, bir veri setinin \u00fc\u00e7\u00fcnc\u00fc \u00e7eyre\u011fi (75. [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-2392","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Ayk\u0131r\u0131 De\u011ferlerin Ger\u00e7ek Hayattan 5 \u00d6rne\u011fi - Statoryaller<\/title>\n<meta name=\"description\" content=\"Bu makale, farkl\u0131 ger\u00e7ek d\u00fcnyadaki durumlarda veri k\u00fcmelerindeki ayk\u0131r\u0131 de\u011ferlerin \u00e7e\u015fitli \u00f6rneklerini payla\u015fmaktad\u0131r.\" \/>\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-gercek-ornekler\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Ayk\u0131r\u0131 De\u011ferlerin Ger\u00e7ek Hayattan 5 \u00d6rne\u011fi - 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