{"id":3231,"date":"2023-07-18T13:42:59","date_gmt":"2023-07-18T13:42:59","guid":{"rendered":"https:\/\/statorials.org\/tr\/aralik-ve-ceyrekler-arasi-aralik\/"},"modified":"2023-07-18T13:42:59","modified_gmt":"2023-07-18T13:42:59","slug":"aralik-ve-ceyrekler-arasi-aralik","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/aralik-ve-ceyrekler-arasi-aralik\/","title":{"rendered":"Aral\u0131k vs. \u00e7eyrekler aras\u0131 aral\u0131k: fark nedir?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0130statistikte <strong>aral\u0131k<\/strong> ve <strong>\u00e7eyrekler aras\u0131 aral\u0131k,<\/strong> bir veri k\u00fcmesindeki de\u011ferlerin da\u011f\u0131l\u0131m\u0131n\u0131 \u00f6l\u00e7menin iki yoludur.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Aral\u0131k,<\/strong> bir veri k\u00fcmesindeki minimum de\u011fer ile maksimum de\u011fer aras\u0131ndaki fark\u0131 \u00f6l\u00e7er.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u00c7eyrekler aras\u0131 aral\u0131k,<\/strong> bir veri setindeki ilk \u00e7eyrek (y\u00fczde 25) ile \u00fc\u00e7\u00fcnc\u00fc \u00e7eyrek (y\u00fczde 75) aras\u0131ndaki fark\u0131 \u00f6l\u00e7er. Bu, de\u011ferlerin ortadaki %50&#8217;sinin da\u011f\u0131l\u0131m\u0131n\u0131 temsil eder.<\/span><\/p>\n<h2> <strong>\u00d6rnek: Aral\u0131k ve \u00e7eyrekler aras\u0131 aral\u0131k nas\u0131l hesaplan\u0131r?<\/strong><\/h2>\n<p> <span style=\"color: #000000;\">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;\"><strong>Aral\u0131\u011f\u0131<\/strong> hesaplamak i\u00e7in a\u015fa\u011f\u0131daki ad\u0131mlar\u0131 kullanabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Aral\u0131k = Maksimum de\u011fer \u2013 Minimum de\u011fer<\/span><\/li>\n<li> <span style=\"color: #000000;\">Aral\u0131k = 32 \u2013 1<\/span><\/li>\n<li> <span style=\"color: #000000;\">Aral\u0131k = <strong>31<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u00c7eyrekler aras\u0131 aral\u0131\u011f\u0131 hesaplamam\u0131za yard\u0131mc\u0131 olmas\u0131 i\u00e7in \u00e7eyrekler <strong>aras\u0131<\/strong> aral\u0131k hesaplay\u0131c\u0131s\u0131n\u0131 kullanabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u00c7eyrekler aras\u0131 \u00f6l\u00e7ek = 3. \u00e7eyrek \u2013 1. \u00e7eyrek<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u00c7eyrekler aras\u0131 \u00f6l\u00e7ek = 26,5 \u2013 12<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u00c7eyrekler aras\u0131 aral\u0131k = <strong>14,5<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">Aral\u0131k bize veri k\u00fcmesinin da\u011f\u0131l\u0131m\u0131n\u0131 s\u00f6ylerken, \u00e7eyrekler aras\u0131 aral\u0131k bize veri k\u00fcmesinin orta yar\u0131s\u0131n\u0131n da\u011f\u0131l\u0131m\u0131n\u0131 s\u00f6yler.<\/span><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-27402\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/r_vs_iqr1.jpg\" alt=\"aral\u0131k ve \u00e7eyrekler aras\u0131 aral\u0131k\" width=\"580\" height=\"111\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Aral\u0131k ve \u00e7eyrekler aras\u0131 aral\u0131k: benzerlikler ve farkl\u0131l\u0131klar<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Aral\u0131k ve \u00e7eyrekler aras\u0131 aral\u0131k <strong>a\u015fa\u011f\u0131daki benzerli\u011fi payla\u015f\u0131r:<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Her iki \u00f6l\u00e7\u00fcm de bir veri k\u00fcmesindeki de\u011ferlerin da\u011f\u0131l\u0131m\u0131n\u0131 \u00f6l\u00e7er.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Ancak aral\u0131k ve \u00e7eyrekler aras\u0131 aral\u0131k <strong>a\u015fa\u011f\u0131daki farka sahiptir:<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Aral\u0131k bize veri setindeki en b\u00fcy\u00fck ve en k\u00fc\u00e7\u00fck de\u011fer aras\u0131ndaki fark\u0131 s\u00f6yler.<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u00c7eyrekler aras\u0131 aral\u0131k bize veri k\u00fcmesindeki de\u011ferlerin ortadaki %50&#8217;lik k\u0131sm\u0131n\u0131n da\u011f\u0131l\u0131m\u0131n\u0131 anlat\u0131r.<\/span><\/li>\n<\/ul>\n<h2> <span style=\"color: #000000;\"><strong>Aral\u0131k ve \u00c7eyrekler Aras\u0131 Aral\u0131k: Her Biri Ne Zaman Kullan\u0131l\u0131r?<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Bir veri setindeki en b\u00fcy\u00fck ve en k\u00fc\u00e7\u00fck de\u011ferler aras\u0131ndaki fark\u0131 anlamak istedi\u011fimizde <strong>range<\/strong> kullanmam\u0131z gerekir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin bir profes\u00f6r\u00fcn 100 \u00f6\u011frenciye s\u0131nav yapt\u0131\u011f\u0131n\u0131 varsayal\u0131m. S\u0131n\u0131ftaki t\u00fcm \u00f6\u011frencilerin ald\u0131\u011f\u0131 en y\u00fcksek ve en d\u00fc\u015f\u00fck puan aras\u0131ndaki fark\u0131 anlamak i\u00e7in \u00f6l\u00e7e\u011fi kullanabilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Tersine, bir veri setinin 75. y\u00fczdelik dilimi ile 25. y\u00fczdelik dilimi aras\u0131ndaki bo\u015flu\u011fu anlamak istedi\u011fimizde <strong>\u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131<\/strong> kullanmal\u0131y\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, bir profes\u00f6r 100 \u00f6\u011frenciye s\u0131nav yap\u0131yorsa, \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131 kullanarak 75. y\u00fczdelik dilimde puan alan bir \u00f6\u011frenci ile 25. y\u00fczdelik dilimde puan alan bir \u00f6\u011frenci aras\u0131ndaki s\u0131nav puan\u0131 fark\u0131n\u0131 h\u0131zl\u0131 bir \u015fekilde anlayabilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir veri setindeki de\u011ferlerin da\u011f\u0131l\u0131m\u0131n\u0131 tan\u0131mlamak i\u00e7in aral\u0131k veya \u00e7eyrekler aras\u0131 aral\u0131k kullanmak aras\u0131nda se\u00e7im yapmak zorunda olmad\u0131\u011f\u0131m\u0131z\u0131 belirtmek gerekir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Her iki \u00f6l\u00e7\u00fcm\u00fc de kullanabiliriz \u00e7\u00fcnk\u00fc bize tamamen farkl\u0131 bilgiler sa\u011flarlar.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Plaj\u0131 kullanman\u0131n arka plan\u0131<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Aral\u0131\u011f\u0131n bir dezavantaj\u0131 vard\u0131r: <strong>Ayk\u0131r\u0131 de\u011ferlerden etkilenir<\/strong> .<\/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\u00fcmesinin aral\u0131\u011f\u0131 32 \u2013 1 = <strong>31&#8217;dir<\/strong> .<\/span><\/p>\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\u00fcmesinin aral\u0131\u011f\u0131 art\u0131k 378 \u2013 1 = <strong>377<\/strong> olacakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir ayk\u0131r\u0131 de\u011fer nedeniyle aral\u0131\u011f\u0131n nas\u0131l b\u00fcy\u00fck \u00f6l\u00e7\u00fcde de\u011fi\u015fti\u011fine dikkat edin.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir veri k\u00fcmesinin aral\u0131\u011f\u0131n\u0131 hesaplamadan \u00f6nce, aral\u0131\u011f\u0131 yan\u0131lt\u0131c\u0131 hale getirebilecek ayk\u0131r\u0131 de\u011ferlerin olup olmad\u0131\u011f\u0131n\u0131 kontrol etmek iyi bir fikirdir.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimler \u00e7eyrekler aras\u0131 aral\u0131k hakk\u0131nda ek bilgi sa\u011flar:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/ceyrekler-arasi-aralik-nasil-yorumlanir\/\" target=\"_blank\" rel=\"noopener\">\u00c7eyrekler aras\u0131 aral\u0131k nas\u0131l yorumlan\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 \/> <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><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130statistikte aral\u0131k ve \u00e7eyrekler aras\u0131 aral\u0131k, bir veri k\u00fcmesindeki de\u011ferlerin da\u011f\u0131l\u0131m\u0131n\u0131 \u00f6l\u00e7menin iki yoludur. Aral\u0131k, bir veri k\u00fcmesindeki minimum de\u011fer ile maksimum de\u011fer aras\u0131ndaki fark\u0131 \u00f6l\u00e7er. \u00c7eyrekler aras\u0131 aral\u0131k, bir veri setindeki ilk \u00e7eyrek (y\u00fczde 25) ile \u00fc\u00e7\u00fcnc\u00fc \u00e7eyrek (y\u00fczde 75) aras\u0131ndaki fark\u0131 \u00f6l\u00e7er. Bu, de\u011ferlerin ortadaki %50&#8217;sinin da\u011f\u0131l\u0131m\u0131n\u0131 temsil eder. \u00d6rnek: Aral\u0131k ve \u00e7eyrekler [&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-3231","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>Aral\u0131k ve \u00e7eyrekler aras\u0131 aral\u0131k: fark nedir? - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde istatistikte aral\u0131k ve \u00e7eyrekler aras\u0131 aral\u0131k aras\u0131ndaki fark birka\u00e7 \u00f6rnekle a\u00e7\u0131klanmaktad\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\/aralik-ve-ceyrekler-arasi-aralik\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Aral\u0131k ve \u00e7eyrekler aras\u0131 aral\u0131k: fark nedir? 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