{"id":1725,"date":"2023-07-25T05:53:27","date_gmt":"2023-07-25T05:53:27","guid":{"rendered":"https:\/\/statorials.org\/tr\/ortalama-ve-medyan-ne-zaman-kullanilir\/"},"modified":"2023-07-25T05:53:27","modified_gmt":"2023-07-25T05:53:27","slug":"ortalama-ve-medyan-ne-zaman-kullanilir","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/ortalama-ve-medyan-ne-zaman-kullanilir\/","title":{"rendered":"Ortalama vs ne zaman kullan\u0131l\u0131r? medyan: \u00f6rneklerle"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Bir veri k\u00fcmesinin <strong>ortalamas\u0131<\/strong> , veri k\u00fcmesinin ortalama de\u011ferini temsil eder. A\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ortalama = \u03a3x <sub>i<\/sub> \/ n<\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u03a3:<\/strong> \u201ctoplam\u201d anlam\u0131na gelen bir sembol<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>x <sub>i<\/sub> :<\/strong> Bir veri setindeki <sup>i&#8217;inci<\/sup> g\u00f6zlem<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> veri k\u00fcmesindeki toplam g\u00f6zlem say\u0131s\u0131<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Medyan,<\/strong> bir veri k\u00fcmesinin orta de\u011ferini temsil eder. Bir veri setindeki t\u00fcm g\u00f6zlemlerin en k\u00fc\u00e7\u00fckten en b\u00fcy\u00fc\u011fe do\u011fru s\u0131ralanmas\u0131 ve ard\u0131ndan medyan de\u011ferinin belirlenmesiyle hesaplan\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, 11 <a href=\"https:\/\/statorials.org\/tr\/istatistikte-gozlem\/\" target=\"_blank\" rel=\"noopener\">g\u00f6zlem<\/a> i\u00e7eren a\u015fa\u011f\u0131daki veri setine sahip oldu\u011fumuzu varsayal\u0131m:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Veri k\u00fcmesi:<\/strong> 3, 4, 4, 6, 7, 8, 12, 13, 15, 16, 17<\/span><\/p>\n<p> <span style=\"color: #000000;\">Veri setinin ortalamas\u0131 \u015fu \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ortalama = (3+4+4+6+7+8+12+13+15+16+17) \/ 11 = <strong>9,54<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Veri k\u00fcmesinin medyan\u0131, tam ortadaki de\u011ferdir ve <strong>8 oldu\u011fu ortaya \u00e7\u0131kar:<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">3, 4, 4, 6, <span style=\"color: #ff0000;\"><strong>7<\/strong><\/span> , 8, 12, 13, 15, 16, 17<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir veri k\u00fcmesinin <a href=\"https:\/\/statorials.org\/tr\/merkezi-egilimi-olcer\/\" target=\"_blank\" rel=\"noopener\">merkezinin<\/a> nerede oldu\u011funa ili\u015fkin ortalama ve medyan tahmini.<\/span> <span style=\"color: #000000;\">Ancak verinin niteli\u011fine ba\u011fl\u0131 olarak ortalama veya medyan, veri setinin merkezini tan\u0131mlamada daha yararl\u0131 olabilir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ortalama ne zaman kullan\u0131l\u0131r?<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Da\u011f\u0131l\u0131m esasen <a href=\"https:\/\/statorials.org\/tr\/simetrik-dagilim-1\/\" target=\"_blank\" rel=\"noopener\">simetrik<\/a> oldu\u011funda ve ayk\u0131r\u0131 de\u011ferler olmad\u0131\u011f\u0131nda, bir veri k\u00fcmesinin merkezini tan\u0131mlamak i\u00e7in <strong>ortalamay\u0131<\/strong> kullanmak en iyisidir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, belirli bir \u015fehirde ya\u015fayanlar\u0131n maa\u015flar\u0131n\u0131 g\u00f6steren a\u015fa\u011f\u0131daki da\u011f\u0131l\u0131ma sahip oldu\u011fumuzu varsayal\u0131m:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-4776 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/moyenne_dist.jpg\" alt=\"\" width=\"449\" height=\"427\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu da\u011f\u0131l\u0131m olduk\u00e7a simetrik oldu\u011fundan (ortadan b\u00f6lerseniz her yar\u0131m kabaca e\u015fit g\u00f6r\u00fcn\u00fcr) ve ayk\u0131r\u0131 de\u011ferler olmad\u0131\u011f\u0131ndan, bu veri k\u00fcmesinin merkezini tan\u0131mlamak i\u00e7in ortalamay\u0131 kullanabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ortalama 63.000 dolar olarak ortaya \u00e7\u0131k\u0131yor ve bu da yakla\u015f\u0131k olarak da\u011f\u0131l\u0131m\u0131n merkezinde yer al\u0131yor:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-4777 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/moyenne_dist2.jpg\" alt=\"\" width=\"476\" height=\"450\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Medyan ne zaman kullan\u0131l\u0131r?<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Da\u011f\u0131l\u0131m <a href=\"https:\/\/statorials.org\/tr\/sol-onyargi-ve-sag-onyargi\/\" target=\"_blank\" rel=\"noopener\">\u00e7arp\u0131k<\/a> oldu\u011funda veya ayk\u0131r\u0131 de\u011ferler oldu\u011funda medyan\u0131 kullanmak en iyisidir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Bozuk veriler:<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir da\u011f\u0131l\u0131m \u00e7arp\u0131k oldu\u011funda medyan, da\u011f\u0131l\u0131m\u0131n merkezini ortalamadan daha iyi tan\u0131mlar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, belirli bir \u015fehirde ya\u015fayanlar\u0131n maa\u015flar\u0131n\u0131n a\u015fa\u011f\u0131daki da\u011f\u0131l\u0131m\u0131n\u0131 d\u00fc\u015f\u00fcn\u00fcn:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-4778 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mediane_diste.jpg\" alt=\"\" width=\"473\" height=\"439\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Medyan, bir sakinin \u201ctipik\u201d maa\u015f\u0131n\u0131 ortalamadan daha iyi yans\u0131t\u0131r. Bunun nedeni, da\u011f\u0131l\u0131m\u0131n kuyru\u011fundaki y\u00fcksek de\u011ferlerin ortalamay\u0131 merkezden uza\u011fa ve uzun kuyru\u011fa do\u011fru itme e\u011filiminde olmas\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu \u00f6rnekte, ortalama bize tipik bir bireyin y\u0131lda yakla\u015f\u0131k 47.000 ABD Dolar\u0131 kazand\u0131\u011f\u0131n\u0131 s\u00f6ylerken medyan bize tipik bir bireyin y\u0131lda yaln\u0131zca 32.000 ABD Dolar\u0131 civar\u0131nda kazand\u0131\u011f\u0131n\u0131 s\u00f6yl\u00fcyor; bu da tipik bir bireyi \u00e7ok daha iyi temsil ediyor.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ayk\u0131r\u0131 De\u011ferler:<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Medyan ayr\u0131ca verilerde ayk\u0131r\u0131 de\u011ferler oldu\u011funda da\u011f\u0131l\u0131m\u0131n merkezi konumunun daha iyi yakalanmas\u0131na yard\u0131mc\u0131 olur. \u00d6rne\u011fin, belirli bir caddedeki evlerin metrekaresini g\u00f6steren a\u015fa\u011f\u0131daki grafi\u011fi d\u00fc\u015f\u00fcn\u00fcn:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-4779\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/moyenne_dist3.jpg\" alt=\"Ortalama ve medyan ne zaman kullan\u0131lmal\u0131?\" width=\"434\" height=\"378\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Ortalama, birka\u00e7 a\u015f\u0131r\u0131 b\u00fcy\u00fck evden b\u00fcy\u00fck \u00f6l\u00e7\u00fcde etkilenirken, medyan etkilenmemektedir. B\u00f6ylece medyan, o sokaktaki bir evin &#8220;tipik&#8221; metrekaresini yakalama konusunda ortalamadan daha iyi bir i\u015f \u00e7\u0131kar\u0131yor.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6zet<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u00d6zetle:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Ortalama ve medyan, bir veri k\u00fcmesinin &#8220;merkezinin&#8221; nerede oldu\u011funu tan\u0131mlamak i\u00e7in kullan\u0131labilir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Veri de\u011ferlerinin da\u011f\u0131l\u0131m\u0131 simetrik oldu\u011funda ve belirgin ayk\u0131r\u0131 de\u011ferler olmad\u0131\u011f\u0131nda ortalamay\u0131 kullanmak en iyisidir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Veri de\u011ferlerinin da\u011f\u0131l\u0131m\u0131 \u00e7arp\u0131k oldu\u011funda veya belirgin ayk\u0131r\u0131 de\u011ferler oldu\u011funda medyan\u0131 kullanmak en iyisidir.<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/aykiri-degerler-ortalamayi-nasil-etkiler\/\" target=\"_blank\" rel=\"noopener\">Ayk\u0131r\u0131 de\u011ferler ortalamay\u0131 nas\u0131l etkiler?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/medyan-ortalama-histogrami\/\" target=\"_blank\" rel=\"noopener\">Herhangi bir histogram\u0131n ortalamas\u0131 ve medyan\u0131 nas\u0131l tahmin edilir?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/kok-ve-yaprak-grafigi-ortalama-mod-anlamina-gelir\/\" target=\"_blank\" rel=\"noopener\">K\u00f6k ve yaprak grafiklerinin ortalamas\u0131 ve medyan\u0131 nas\u0131l bulunur?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bir veri k\u00fcmesinin ortalamas\u0131 , veri k\u00fcmesinin ortalama de\u011ferini temsil eder. A\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r: Ortalama = \u03a3x i \/ n Alt\u0131n: \u03a3: \u201ctoplam\u201d anlam\u0131na gelen bir sembol x i : Bir veri setindeki i&#8217;inci g\u00f6zlem n: veri k\u00fcmesindeki toplam g\u00f6zlem say\u0131s\u0131 Medyan, bir veri k\u00fcmesinin orta de\u011ferini temsil eder. Bir veri setindeki t\u00fcm g\u00f6zlemlerin en [&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-1725","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>Ortalama vs Ne Zaman Kullan\u0131l\u0131r? 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