{"id":1723,"date":"2023-07-25T06:03:40","date_gmt":"2023-07-25T06:03:40","guid":{"rendered":"https:\/\/statorials.org\/tr\/ceyrekler-arasi-aralik-nasil-yorumlanir\/"},"modified":"2023-07-25T06:03:40","modified_gmt":"2023-07-25T06:03:40","slug":"ceyrekler-arasi-aralik-nasil-yorumlanir","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/ceyrekler-arasi-aralik-nasil-yorumlanir\/","title":{"rendered":"\u00c7eyrekler aras\u0131 aral\u0131k nas\u0131l yorumlan\u0131r: \u00f6rneklerle"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Bir veri setinin <strong>\u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131<\/strong> , genellikle IQR olarak k\u0131salt\u0131l\u0131r, veri setinin ilk \u00e7eyre\u011fi (25. y\u00fczdelik dilim) ile \u00fc\u00e7\u00fcnc\u00fc \u00e7eyreklik (75. y\u00fczdelik dilim) aras\u0131ndaki farkt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Basit bir ifadeyle de\u011ferlerin ortadaki %50&#8217;lik k\u0131sm\u0131 aras\u0131ndaki sapmay\u0131 \u00f6l\u00e7er.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>IQR = \u00c73 \u2013 \u00c71<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, bir laboratuvardaki 17 farkl\u0131 bitkinin boyunu (in\u00e7 cinsinden) g\u00f6steren a\u015fa\u011f\u0131daki veri setine sahip oldu\u011fumuzu varsayal\u0131m:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Veri seti:<\/strong> 1, 4, 8, 11, 13, 17, 19, 19, 20, 23, 24, 24, 25, 28, 29, 31, 32<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00c7eyrekler aras\u0131 aral\u0131k hesaplay\u0131c\u0131ya g\u00f6re bu veri k\u00fcmesi i\u00e7in \u00e7eyrekler aras\u0131 aral\u0131k (IQR) \u015fu \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u00c71:<\/strong> 12<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u00c73:<\/strong> 26,5<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>IQR<\/strong> = \u00c73 \u2013 \u00c71 = 14,5<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu bize veri k\u00fcmesindeki de\u011ferlerin ortadaki %50&#8217;sinin <strong>14,5<\/strong> in\u00e7lik bir yay\u0131l\u0131ma sahip oldu\u011funu s\u00f6yl\u00fcyor.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00c7eyrekler aras\u0131 aral\u0131k neden faydal\u0131d\u0131r?<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u00c7eyrekler aras\u0131 aral\u0131k, bir veri k\u00fcmesindeki de\u011ferlerin da\u011f\u0131l\u0131m\u0131n\u0131 \u00f6l\u00e7menin bir yoludur, ancak a\u015fa\u011f\u0131daki gibi ba\u015fka da\u011f\u0131l\u0131m \u00f6l\u00e7\u00fcleri de vard\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Aral\u0131k:<\/strong> Bir veri setindeki minimum ve maksimum de\u011fer aras\u0131ndaki fark\u0131 \u00f6l\u00e7er.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Standart Sapma:<\/strong> Bir veri setindeki bireysel de\u011ferlerin ortalama de\u011ferden tipik sapmas\u0131n\u0131 \u00f6l\u00e7er.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bir veri k\u00fcmesindeki de\u011ferlerin da\u011f\u0131l\u0131m\u0131n\u0131 \u00f6l\u00e7mek i\u00e7in \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131 (IQR) kullanman\u0131n avantaj\u0131 a\u015f\u0131r\u0131 u\u00e7 de\u011ferlerden etkilenmemesidir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, bir veri k\u00fcmesindeki a\u015f\u0131r\u0131 k\u00fc\u00e7\u00fck veya a\u015f\u0131r\u0131 b\u00fcy\u00fck bir de\u011fer, IQR hesaplamas\u0131n\u0131 etkilemeyecektir \u00e7\u00fcnk\u00fc IQR, veri k\u00fcmesinin yaln\u0131zca 25. y\u00fczdelik ve 75. y\u00fczdelik de\u011ferlerini kullan\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bunu g\u00f6stermek i\u00e7in a\u015fa\u011f\u0131daki veri k\u00fcmesini g\u00f6z \u00f6n\u00fcnde bulundurun:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Veri seti:<\/strong> 1, 4, 8, 11, 13, 17, 19, 19, 20, 23, 24, 24, 25, 28, 29, 31, 32<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu veri k\u00fcmesi a\u015fa\u011f\u0131daki yay\u0131lma \u00f6l\u00e7\u00fcmlerine sahiptir<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>IQR:<\/strong> 14,5<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Standart sapma:<\/strong> 9,25<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Aral\u0131k:<\/strong> 31<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Ancak veri k\u00fcmesinin a\u015f\u0131r\u0131 u\u00e7 de\u011ferlere sahip olup olmad\u0131\u011f\u0131n\u0131 g\u00f6z \u00f6n\u00fcnde bulundurun:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Veri seti:<\/strong> 1, 4, 8, 11, 13, 17, 19, 19, 20, 23, 24, 24, 25, 28, 29, 31, 32, <strong>378<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu veri k\u00fcmesi i\u00e7in a\u015fa\u011f\u0131daki yay\u0131lma \u00f6l\u00e7\u00fcmlerini bulmak amac\u0131yla bir hesap makinesi kullanabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>IQR:<\/strong> 15<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Standart sapma:<\/strong> 85.02<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Aral\u0131k:<\/strong> 377<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bir ayk\u0131r\u0131 de\u011fer mevcut oldu\u011funda \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131n \u00e7ok az de\u011fi\u015fti\u011fini, standart sapman\u0131n ve aral\u0131\u011f\u0131n ise \u00f6nemli \u00f6l\u00e7\u00fcde de\u011fi\u015fti\u011fini unutmay\u0131n.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Veri k\u00fcmeleri aras\u0131ndaki \u00e7eyrekler aras\u0131 aral\u0131klar\u0131 kar\u015f\u0131la\u015ft\u0131rma<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u00c7eyrekler aras\u0131 aral\u0131k, farkl\u0131 veri k\u00fcmeleri aras\u0131ndaki de\u011ferlerin da\u011f\u0131l\u0131m\u0131n\u0131 kar\u015f\u0131la\u015ft\u0131rmak i\u00e7in de kullan\u0131labilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, a\u015fa\u011f\u0131daki IQR de\u011ferlerine sahip \u00fc\u00e7 veri k\u00fcmemiz oldu\u011funu varsayal\u0131m:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Veri k\u00fcmesi 1&#8217;in IQR&#8217;si: <strong>13,5<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Veri k\u00fcmesi 2&#8217;nin IQR&#8217;si: <strong>24,4<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Veri K\u00fcmesi 3 IQR: <strong>8,7<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu bize de\u011ferlerin ortadaki %50&#8217;lik k\u0131sm\u0131 aras\u0131ndaki bo\u015flu\u011fun Veri K\u00fcmesi 2 i\u00e7in en b\u00fcy\u00fck, Veri K\u00fcmesi 3 i\u00e7in ise en k\u00fc\u00e7\u00fck oldu\u011funu s\u00f6yler.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/ceyrekler-arasi-aralik-excel\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de \u00c7eyrekler Aras\u0131 Aral\u0131k Nas\u0131l Hesaplan\u0131r?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/python-ceyrekler-arasi-aralik\/\" target=\"_blank\" rel=\"noopener\">Python&#8217;da \u00e7eyrekler aras\u0131 aral\u0131k nas\u0131l hesaplan\u0131r<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/iqr-ile-aykiri-degerleri-bulma\/\" target=\"_blank\" rel=\"noopener\">\u00c7eyrekler aras\u0131 aral\u0131\u011f\u0131 kullanarak ayk\u0131r\u0131 de\u011ferler nas\u0131l bulunur?<\/a><br \/> \u00c7eyrekler Aras\u0131 Aral\u0131k Hesaplay\u0131c\u0131<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bir veri setinin \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131 , genellikle IQR olarak k\u0131salt\u0131l\u0131r, veri setinin ilk \u00e7eyre\u011fi (25. y\u00fczdelik dilim) ile \u00fc\u00e7\u00fcnc\u00fc \u00e7eyreklik (75. y\u00fczdelik dilim) aras\u0131ndaki farkt\u0131r. Basit bir ifadeyle de\u011ferlerin ortadaki %50&#8217;lik k\u0131sm\u0131 aras\u0131ndaki sapmay\u0131 \u00f6l\u00e7er. IQR = \u00c73 \u2013 \u00c71 \u00d6rne\u011fin, bir laboratuvardaki 17 farkl\u0131 bitkinin boyunu (in\u00e7 cinsinden) g\u00f6steren a\u015fa\u011f\u0131daki veri setine sahip [&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-1723","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>\u00c7eyrekler Aras\u0131 Aral\u0131k Nas\u0131l Yorumlan\u0131r: \u00d6rneklerle<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, veri k\u00fcmelerinin \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131n\u0131n nas\u0131l yorumlanaca\u011f\u0131 \u00e7e\u015fitli \u00f6rneklerle a\u00e7\u0131klanmaktad\u0131r.\" \/>\n<meta name=\"robots\" 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