{"id":1683,"date":"2023-07-25T09:45:42","date_gmt":"2023-07-25T09:45:42","guid":{"rendered":"https:\/\/statorials.org\/tr\/acik-dagitim\/"},"modified":"2023-07-25T09:45:42","modified_gmt":"2023-07-25T09:45:42","slug":"acik-dagitim","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/acik-dagitim\/","title":{"rendered":"A\u00e7\u0131k da\u011f\u0131t\u0131m nedir?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0130statistikte <strong>a\u00e7\u0131k da\u011f\u0131t\u0131m<\/strong> , bir veya daha fazla s\u0131n\u0131f\u0131n (veya &#8220;kutular\u0131n&#8221;) a\u00e7\u0131k oldu\u011fu bir frekans da\u011f\u0131l\u0131m\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin a\u015fa\u011f\u0131daki frekans da\u011f\u0131l\u0131m\u0131, en k\u00fc\u00e7\u00fck s\u0131n\u0131f\u0131n a\u00e7\u0131k oldu\u011fu bir a\u00e7\u0131k da\u011f\u0131l\u0131m\u0131 temsil eder:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-16587 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/ouvert1.png\" alt=\"\" width=\"233\" height=\"194\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki frekans da\u011f\u0131l\u0131m\u0131, en b\u00fcy\u00fck s\u0131n\u0131f\u0131n a\u00e7\u0131k oldu\u011fu bir a\u00e7\u0131k da\u011f\u0131l\u0131m\u0131 g\u00f6stermektedir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-16591 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/ouvert2-1.png\" alt=\"\" width=\"229\" height=\"192\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Tersine, kapal\u0131 bir da\u011f\u0131t\u0131m, frekans da\u011f\u0131l\u0131m\u0131n\u0131n her s\u0131n\u0131f\u0131n\u0131n a\u015fa\u011f\u0131daki gibi bir \u00fcst ve alt limite sahip oldu\u011fu da\u011f\u0131t\u0131md\u0131r:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-16590 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/ouvert3-1.png\" alt=\"\" width=\"229\" height=\"191\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>A\u00e7\u0131k da\u011f\u0131t\u0131mlara ne sebep olur?<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u00e7\u0131k da\u011f\u0131t\u0131mlar genellikle ara\u015ft\u0131rmac\u0131lar\u0131n veri toplamay\u0131 s\u0131n\u0131flardan birinin a\u00e7\u0131k olaca\u011f\u0131 \u015fekilde se\u00e7mesinin sonucudur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, bir ara\u015ft\u0131rmac\u0131n\u0131n belirli bir \u015fehrin sakinlerine anket yapt\u0131\u011f\u0131n\u0131 ve onlara y\u0131ll\u0131k hane gelirlerini sordu\u011funu varsayal\u0131m.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ara\u015ft\u0131rmac\u0131 m\u00fcmk\u00fcn olan en geni\u015f yan\u0131t\u0131 &#8220;&gt;100.000 $&#8221; olarak vermeyi se\u00e7ebilir \u00e7\u00fcnk\u00fc y\u00fcksek gelirli sakinlerin, kazand\u0131klar\u0131 miktar 100.000 $&#8217;\u0131n \u00e7ok \u00fczerindeyse ne kadar kazand\u0131klar\u0131n\u0131 payla\u015fma konusunda rahat olmayabileceklerini biliyorlar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Tersine, ara\u015ft\u0131rmac\u0131 m\u00fcmk\u00fcn olan en k\u0131sa cevab\u0131 vermeyi se\u00e7ebilir \u00e7\u00fcnk\u00fc \u00e7ok az kazanan sakinlerin ayn\u0131 zamanda az kazand\u0131klar\u0131n\u0131 payla\u015fma konusunda da rahat olmayacaklar\u0131n\u0131 bilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6zetle, ara\u015ft\u0131rmac\u0131lar anket sorular\u0131n\u0131 yan\u0131tlarken rahat hisseden ki\u015fi say\u0131s\u0131n\u0131 en \u00fcst d\u00fczeye \u00e7\u0131karmak istedikleri i\u00e7in anketlerine s\u0131kl\u0131kla a\u00e7\u0131k kurslar dahil ederler.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>A\u00e7\u0131k da\u011f\u0131t\u0131mlarla ilgili sorun<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u00e7\u0131k da\u011f\u0131t\u0131mlarla ilgili sorun, ger\u00e7ek verilerin <a href=\"https:\/\/statorials.org\/tr\/kesilmis-sansurlenmis-veriler\/\" target=\"_blank\" rel=\"noopener\">sans\u00fcrlenmesidir<\/a> . Ba\u015fka bir deyi\u015fle, belirli bir \u015fehirde 100.000 dolardan fazla kazanan insanlar\u0131n say\u0131s\u0131n\u0131 bilebiliyoruz ama asl\u0131nda onlar\u0131n y\u0131ll\u0131k gelirlerini tam olarak bilmiyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Baz\u0131 ki\u015filerin 150.000 ABD Dolar\u0131, 250.000 ABD Dolar\u0131, 500.000 ABD Dolar\u0131 veya daha fazlas\u0131n\u0131 kazanmas\u0131 m\u00fcmk\u00fcnd\u00fcr, ancak bu ki\u015filerin her biri &#8216;soru\u015fturmada&#8217;&gt;100.000 ABD Dolar\u0131&#8217; kazand\u0131klar\u0131n\u0131 belirtemedi\u011fi i\u00e7in hi\u00e7bir fikrimiz yok.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u00e7\u0131k da\u011f\u0131t\u0131mlarda veriler sans\u00fcrlendi\u011finden ham verilerdeki t\u00fcm de\u011ferlere eri\u015fimimiz olmad\u0131\u011f\u0131ndan veri setindeki de\u011ferlerin tam ortalamas\u0131n\u0131 ve standart sapmas\u0131n\u0131 da hesaplayam\u0131yoruz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>A\u00e7\u0131k bir da\u011f\u0131t\u0131m nas\u0131l analiz edilir<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u00e7\u0131k bir da\u011f\u0131l\u0131m\u0131n tam ortalamas\u0131n\u0131 hesaplayamad\u0131\u011f\u0131m\u0131z i\u00e7in genellikle veri k\u00fcmesinin &#8220;merkezinin&#8221; \u00f6l\u00e7\u00fcs\u00fc olarak <strong>medyan\u0131<\/strong> kullan\u0131r\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Medyan\u0131n veri setinin orta de\u011ferini temsil etti\u011fini hat\u0131rlay\u0131n.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u00e7\u0131k da\u011f\u0131l\u0131mlarla \u00e7al\u0131\u015f\u0131rken medyan\u0131n en iyi tahminini bulmak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>En iyi medyan tahmini:<\/strong> L + ((n\/2 \u2013 F) \/ f) * w<\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>L:<\/strong> Orta grubun alt s\u0131n\u0131r\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> Toplam g\u00f6zlem say\u0131s\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><b>F:<\/b> Orta gruba kadar k\u00fcm\u00fclatif frekans<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>f:<\/strong> Orta grubun frekans\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>w:<\/strong> Orta grubun geni\u015fli\u011fi<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin a\u015fa\u011f\u0131daki a\u00e7\u0131k da\u011f\u0131t\u0131ma sahip oldu\u011fumuzu varsayal\u0131m:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-16591 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/ouvert2-1.png\" alt=\"\" width=\"229\" height=\"192\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Veri setinde toplam 72 de\u011fer bulunmaktad\u0131r. Yani <strong>medyan de\u011ferinin<\/strong> veri setindeki en b\u00fcy\u00fck 36. ve 37. de\u011ferler aras\u0131nda olaca\u011f\u0131n\u0131 biliyoruz. Bu de\u011ferlerin her biri \u201c60.000$ \u2013 79.999$\u201d s\u0131n\u0131f\u0131na giriyor, yani medyan gelirin bu aral\u0131kta oldu\u011funu biliyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Medyanla ilgili en iyi tahminimiz \u015f\u00f6yle olacakt\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Medyan: 60.000 + ((72\/2 \u2013 25) \/ 19) * 19.999 = <strong>71.578 ABD dolar\u0131<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu de\u011fer, bu veri k\u00fcmesindeki bireylerin ortalama y\u0131ll\u0131k gelirine ili\u015fkin en iyi tahminimizi temsil etmektedir.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130statistikte a\u00e7\u0131k da\u011f\u0131t\u0131m , bir veya daha fazla s\u0131n\u0131f\u0131n (veya &#8220;kutular\u0131n&#8221;) a\u00e7\u0131k oldu\u011fu bir frekans da\u011f\u0131l\u0131m\u0131d\u0131r. \u00d6rne\u011fin a\u015fa\u011f\u0131daki frekans da\u011f\u0131l\u0131m\u0131, en k\u00fc\u00e7\u00fck s\u0131n\u0131f\u0131n a\u00e7\u0131k oldu\u011fu bir a\u00e7\u0131k da\u011f\u0131l\u0131m\u0131 temsil eder: A\u015fa\u011f\u0131daki frekans da\u011f\u0131l\u0131m\u0131, en b\u00fcy\u00fck s\u0131n\u0131f\u0131n a\u00e7\u0131k oldu\u011fu bir a\u00e7\u0131k da\u011f\u0131l\u0131m\u0131 g\u00f6stermektedir: Tersine, kapal\u0131 bir da\u011f\u0131t\u0131m, frekans da\u011f\u0131l\u0131m\u0131n\u0131n her s\u0131n\u0131f\u0131n\u0131n a\u015fa\u011f\u0131daki gibi bir \u00fcst ve [&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-1683","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>A\u00e7\u0131k da\u011f\u0131t\u0131m nedir? 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