{"id":1396,"date":"2023-07-26T13:34:30","date_gmt":"2023-07-26T13:34:30","guid":{"rendered":"https:\/\/statorials.org\/tr\/ust-ve-alt-citler\/"},"modified":"2023-07-26T13:34:30","modified_gmt":"2023-07-26T13:34:30","slug":"ust-ve-alt-citler","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/ust-ve-alt-citler\/","title":{"rendered":"\u00dcst ve alt \u00e7itler: tan\u0131m ve \u00f6rnek"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0130statistiklerde <strong>\u00fcst ve alt s\u0131n\u0131rlar<\/strong> , bir veri setindeki \u00fcst ve alt ayk\u0131r\u0131 de\u011ferler i\u00e7in e\u015fik de\u011ferleri temsil eder. A\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131rlar:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>D\u00fc\u015f\u00fck kapan\u0131\u015f<\/strong> = Q1 \u2013 (1,5*IQR)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u00dcst kapan\u0131\u015f<\/strong> = \u00c73 + (1,5*IQR)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">burada IQR, bir veri setindeki 75. y\u00fczdelik dilim (Q3) ile 25. y\u00fczdelik dilim (Q1) aras\u0131ndaki fark\u0131 temsil eden &#8220;\u00e7eyrekler aras\u0131 aral\u0131k&#8221; anlam\u0131na gelir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00dcst bariyerin \u00fcst\u00fcnde veya alt bariyerin alt\u0131nda bulunan bir <a href=\"https:\/\/statorials.org\/tr\/istatistikte-gozlem\/\" target=\"_blank\" rel=\"noopener\">g\u00f6zlem<\/a> genellikle ayk\u0131r\u0131 de\u011fer olarak kabul edilir.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13870 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/upper_lower_fence2.png\" alt=\"\u0130statistiklerdeki kutu grafi\u011finde \u00fcst ve alt kapan\u0131\u015f\" width=\"679\" height=\"111\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: \u00dcst ve alt \u00e7itin hesaplanmas\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki veri setine sahip oldu\u011fumuzu varsayal\u0131m:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 16px;\"> <strong>Dataset: 11, 13, 14, 14, 15, 16, 18, 22, 24, 27, 34, 36, 38, 41, 45\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Veri setinin \u00fcst ve alt s\u0131n\u0131r\u0131n\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki ad\u0131mlar\u0131 kullanabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 1: Q1 ve Q3&#8217;\u00fc aray\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Q1, veri k\u00fcmesinin 25. y\u00fczdelik dilimini, Q3 ise 75. y\u00fczdelik dilimini temsil eder. \u00c7eyrekler aras\u0131 aral\u0131k hesaplay\u0131c\u0131s\u0131na g\u00f6re bu veri k\u00fcmesi i\u00e7in Q1 ve Q3 \u015f\u00f6yledir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u00c71:<\/strong> 14<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u00c73:<\/strong> 36<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: IQR&#8217;yi (\u00e7eyrekler aras\u0131 aral\u0131k) bulun.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00c7eyrekler aras\u0131 aral\u0131k, a\u015fa\u011f\u0131daki \u015fekilde hesaplanan Q3 ve Q1 aras\u0131ndaki fark\u0131 temsil eder:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u00c7eyrekler aras\u0131 \u00f6l\u00e7ek:<\/strong> Q3 \u2013 Q1 = 36 \u2013 14 = 22<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 3: \u00dcst ve Alt \u00c7itleri Bulun<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00dcst ve alt \u00e7itleri hesaplamak i\u00e7in a\u015fa\u011f\u0131daki form\u00fclleri kullanabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>D\u00fc\u015f\u00fck kapan\u0131\u015f:<\/strong> Q1 \u2013 (1,5*IQR) = 14 \u2013 (1,5*22) = -19<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u00dcst \u00e7it:<\/strong> \u00c73 + (1,5*IQR) = 36 + (1,5*22) = 69<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Veri setimizdeki g\u00f6zlemlerin hi\u00e7biri alt s\u0131n\u0131r\u0131n alt\u0131na veya \u00fcst s\u0131n\u0131r\u0131n \u00fcst\u00fcne d\u00fc\u015fmedi\u011finden, g\u00f6zlemlerin hi\u00e7biri ayk\u0131r\u0131 de\u011fer olarak de\u011ferlendirilmeyecektir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Veri de\u011ferlerinin yan\u0131 s\u0131ra \u00fcst ve alt \u00e7itlerin da\u011f\u0131l\u0131m\u0131n\u0131 da g\u00f6rselle\u015ftirmek i\u00e7in bir <a href=\"https:\/\/statorials.org\/tr\/kutu-biyiklari\/\" target=\"_blank\" rel=\"noopener\">kutu grafi\u011fi<\/a> de olu\u015fturabiliriz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13868 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/upper_lower_fence1.png\" alt=\"\u00dcst ve alt \u00e7itler\" width=\"677\" height=\"109\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Bonus: \u00dcst ve Alt Kapan\u0131\u015f Hesaplay\u0131c\u0131s\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir veri k\u00fcmesinin \u00fcst ve alt \u00e7er\u00e7evelerini manuel olarak hesaplamak yerine, \u00fcst ve alt \u00e7er\u00e7eve hesaplay\u0131c\u0131s\u0131n\u0131 kullanmaktan \u00e7ekinmeyin:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13866\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/cloturecalc1.png\" alt=\"\u00dcst ve Alt \u00c7it Hesaplay\u0131c\u0131\" width=\"327\" height=\"488\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu sayfada daha kullan\u0131\u015fl\u0131 istatistiksel hesaplay\u0131c\u0131lar bulabilirsiniz.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130statistiklerde \u00fcst ve alt s\u0131n\u0131rlar , bir veri setindeki \u00fcst ve alt ayk\u0131r\u0131 de\u011ferler i\u00e7in e\u015fik de\u011ferleri temsil eder. A\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131rlar: D\u00fc\u015f\u00fck kapan\u0131\u015f = Q1 \u2013 (1,5*IQR) \u00dcst kapan\u0131\u015f = \u00c73 + (1,5*IQR) burada IQR, bir veri setindeki 75. y\u00fczdelik dilim (Q3) ile 25. y\u00fczdelik dilim (Q1) aras\u0131ndaki fark\u0131 temsil eden &#8220;\u00e7eyrekler aras\u0131 aral\u0131k&#8221; [&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-1396","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>\u00dcst ve alt \u00e7itler: tan\u0131m ve \u00f6rnek - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, resmi bir tan\u0131m ve \u00f6rnek de dahil olmak \u00fczere istatistikteki \u00fcst ve alt engellere ili\u015fkin bir a\u00e7\u0131klama sa\u011flanmaktad\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\/ust-ve-alt-citler\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u00dcst ve alt \u00e7itler: tan\u0131m ve \u00f6rnek - 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