{"id":1519,"date":"2023-07-26T01:30:17","date_gmt":"2023-07-26T01:30:17","guid":{"rendered":"https:\/\/statorials.org\/tr\/ceyrekler-arasi-aralik-ve-standart-sapma\/"},"modified":"2023-07-26T01:30:17","modified_gmt":"2023-07-26T01:30:17","slug":"ceyrekler-arasi-aralik-ve-standart-sapma","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/ceyrekler-arasi-aralik-ve-standart-sapma\/","title":{"rendered":"\u00c7eyrekler aras\u0131 aral\u0131k ve standart sapma: fark nedir?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u00c7eyrekler aras\u0131 aral\u0131k<\/strong> ve <strong>standart sapma,<\/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;\">Bu e\u011fitimde her metri\u011fin k\u0131sa bir a\u00e7\u0131klamas\u0131n\u0131n yan\u0131 s\u0131ra ikisi aras\u0131ndaki benzerlikler ve farkl\u0131l\u0131klar sunulmaktad\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00c7eyrekler aras\u0131 aral\u0131k<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir veri setinin <strong>\u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131<\/strong> (IQR), birinci \u00e7eyrek (25. y\u00fczdelik dilim) ile \u00fc\u00e7\u00fcnc\u00fc \u00e7eyreklik (75. y\u00fczdelik dilim) aras\u0131ndaki farkt\u0131r. De\u011ferlerin ortalama %50&#8217;sinin da\u011f\u0131l\u0131m\u0131n\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 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> sapmaya sahip oldu\u011funu s\u00f6yler.<\/span><\/p>\n<p> <strong style=\"color: #000000; font-family: Montserrat, sans-serif; font-size: 24px;\">Standart sapma<\/strong><\/p>\n<p> <span style=\"color: #000000;\">Bir veri setinin <strong>standart sapmas\u0131,<\/strong> bireysel de\u011ferlerin ortalama de\u011ferden tipik sapmas\u0131n\u0131 \u00f6l\u00e7menin bir yoludur. A\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>s = \u221a(\u03a3(x <sub>ben<\/sub> \u2013 <span style=\"text-decoration: overline;\">x<\/span> ) <sup>2<\/sup> \/ (n-1))<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin 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;\">Bu veri setinin standart sapmas\u0131n\u0131n <strong>9,25<\/strong> oldu\u011funu bulmak i\u00e7in hesap makinesi kullanabiliriz. Bu bize tipik de\u011ferin ortalamadan ne kadar uzakta oldu\u011funa dair bir fikir verir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Benzerlikler ve farkl\u0131l\u0131klar<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u00c7eyrekler aras\u0131 aral\u0131k ve standart sapma <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;\">Bununla birlikte, \u00e7eyrekler aras\u0131 aral\u0131k ve standart sapma <strong>a\u015fa\u011f\u0131daki temel farka sahiptir:<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u00c7eyrekler aras\u0131 aral\u0131k (IQR) a\u015f\u0131r\u0131 ayk\u0131r\u0131 de\u011ferlerden etkilenmez. \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><\/li>\n<li> <span style=\"color: #000000;\">Standart sapma a\u015f\u0131r\u0131 ayk\u0131r\u0131 de\u011ferlerden <em>etkilenir<\/em> . \u00d6rne\u011fin, bir veri setindeki a\u015f\u0131r\u0131 b\u00fcy\u00fck bir de\u011fer, standart sapman\u0131n form\u00fcl\u00fcnde bir veri setindeki her de\u011feri kullanmas\u0131 nedeniyle \u00e7ok daha b\u00fcy\u00fck bir standart sapmaya neden olacakt\u0131r.<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>Her biri ne zaman kullan\u0131lmal\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015f\u0131r\u0131 u\u00e7 de\u011ferler oldu\u011funda bir veri k\u00fcmesindeki de\u011ferlerin da\u011f\u0131l\u0131m\u0131n\u0131 \u00f6l\u00e7mek i\u00e7in \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131 kullanmal\u0131s\u0131n\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Tersine, a\u015f\u0131r\u0131 ayk\u0131r\u0131 de\u011ferler olmad\u0131\u011f\u0131nda de\u011ferlerin da\u011f\u0131l\u0131m\u0131n\u0131 \u00f6l\u00e7mek i\u00e7in standart sapmay\u0131 kullanmal\u0131s\u0131n\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Nedenini a\u00e7\u0131klamak 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;\">Makalenin ba\u015flar\u0131nda bu veri k\u00fcmesi i\u00e7in a\u015fa\u011f\u0131daki \u00f6l\u00e7\u00fcmleri hesaplam\u0131\u015ft\u0131k:<\/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<\/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 \u00f6l\u00e7\u00fcmleri 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<\/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 ise 9,25&#8217;ten 85,02&#8217;ye \u00e7\u0131kt\u0131\u011f\u0131n\u0131 unutmay\u0131n.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/merkezi-egilimi-olcer\/\" target=\"_blank\" rel=\"noopener\">Merkezi e\u011filim \u00f6l\u00e7\u00fcleri: tan\u0131m ve \u00f6rnekler<\/a><br \/> Da\u011f\u0131l\u0131m \u00f6l\u00e7\u00fcleri: tan\u0131m ve \u00f6rnekler<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><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u00c7eyrekler aras\u0131 aral\u0131k ve standart sapma, bir veri k\u00fcmesindeki de\u011ferlerin da\u011f\u0131l\u0131m\u0131n\u0131 \u00f6l\u00e7menin iki yoludur. Bu e\u011fitimde her metri\u011fin k\u0131sa bir a\u00e7\u0131klamas\u0131n\u0131n yan\u0131 s\u0131ra ikisi aras\u0131ndaki benzerlikler ve farkl\u0131l\u0131klar sunulmaktad\u0131r. \u00c7eyrekler aras\u0131 aral\u0131k Bir veri setinin \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131 (IQR), birinci \u00e7eyrek (25. y\u00fczdelik dilim) ile \u00fc\u00e7\u00fcnc\u00fc \u00e7eyreklik (75. y\u00fczdelik dilim) aras\u0131ndaki farkt\u0131r. De\u011ferlerin ortalama %50&#8217;sinin [&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-1519","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 ve standart sapma: fark nedir?<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde \u00e7eyrekler aras\u0131 aral\u0131k ile standart sapma 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\/ceyrekler-arasi-aralik-ve-standart-sapma\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u00c7eyrekler aras\u0131 aral\u0131k ve standart sapma: fark nedir?\" \/>\n<meta property=\"og:description\" content=\"Bu e\u011fitimde \u00e7eyrekler aras\u0131 aral\u0131k ile standart sapma aras\u0131ndaki fark birka\u00e7 \u00f6rnekle a\u00e7\u0131klanmaktad\u0131r.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/ceyrekler-arasi-aralik-ve-standart-sapma\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-26T01:30:17+00:00\" \/>\n<meta name=\"author\" content=\"Dr.benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Yazan:\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr.benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tahmini okuma s\u00fcresi\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/ceyrekler-arasi-aralik-ve-standart-sapma\/\",\"url\":\"https:\/\/statorials.org\/tr\/ceyrekler-arasi-aralik-ve-standart-sapma\/\",\"name\":\"\u00c7eyrekler aras\u0131 aral\u0131k ve standart sapma: fark nedir?\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-26T01:30:17+00:00\",\"dateModified\":\"2023-07-26T01:30:17+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu e\u011fitimde \u00e7eyrekler aras\u0131 aral\u0131k ile standart sapma aras\u0131ndaki fark birka\u00e7 \u00f6rnekle a\u00e7\u0131klanmaktad\u0131r.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/ceyrekler-arasi-aralik-ve-standart-sapma\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/ceyrekler-arasi-aralik-ve-standart-sapma\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/ceyrekler-arasi-aralik-ve-standart-sapma\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u00c7eyrekler aras\u0131 aral\u0131k ve standart sapma: fark nedir?\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/tr\/#website\",\"url\":\"https:\/\/statorials.org\/tr\/\",\"name\":\"Statorials\",\"description\":\"\u0130statistik okuryazarl\u0131\u011f\u0131 rehberiniz!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/tr\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"tr\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\",\"name\":\"Dr.benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"tr\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr.benjamin anderson\"},\"description\":\"Merhaba, ben Benjamin, emekli bir istatistik profes\u00f6r\u00fc ve Statorials \u00f6\u011fretmenine d\u00f6n\u00fc\u015ft\u00fcm. \u0130statistik alan\u0131ndaki kapsaml\u0131 deneyimim ve uzmanl\u0131\u011f\u0131mla, \u00f6\u011frencilerimi Statorials arac\u0131l\u0131\u011f\u0131yla g\u00fc\u00e7lendirmek i\u00e7in bilgilerimi payla\u015fmaya can at\u0131yorum. 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