{"id":5050,"date":"2023-07-04T14:18:12","date_gmt":"2023-07-04T14:18:12","guid":{"rendered":"https:\/\/statorials.org\/tr\/istatistiklerde-ortalamanin-avantajlari-dezavantajlari\/"},"modified":"2023-07-04T14:18:12","modified_gmt":"2023-07-04T14:18:12","slug":"istatistiklerde-ortalamanin-avantajlari-dezavantajlari","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/istatistiklerde-ortalamanin-avantajlari-dezavantajlari\/","title":{"rendered":"I\u0307statistikte ortalama kullanman\u0131n avantajlar\u0131 ve dezavantajlar\u0131"},"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.<\/span><\/p>\n<p> <span style=\"color: #000000;\">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;\">Bir veri k\u00fcmesinin &#8220;merkezini&#8221; veya &#8220;ortalamas\u0131n\u0131&#8221; tan\u0131mlamak i\u00e7in ortalamay\u0131 kullanman\u0131n iki ana avantaj\u0131 vard\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Avantaj #1: Ortalama, hesaplamas\u0131nda bir veri k\u00fcmesindeki t\u00fcm g\u00f6zlemleri kullan\u0131r.<\/strong> \u0130statistikte bu genellikle iyi bir \u015feydir \u00e7\u00fcnk\u00fc bir veri setinde mevcut olan t\u00fcm bilgilerin kullan\u0131ld\u0131\u011f\u0131 s\u00f6ylenir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Avantaj #2: Ortalaman\u0131n hesaplanmas\u0131 ve yorumlanmas\u0131 kolayd\u0131r.<\/strong> Ortalama, t\u00fcm g\u00f6zlemlerin toplam\u0131n\u0131n toplam g\u00f6zlem say\u0131s\u0131na b\u00f6l\u00fcnmesiyle elde edilir. Hem hesaplamas\u0131 kolayd\u0131r (hatta manuel olarak) hem de yorumlanmas\u0131 kolayd\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bununla birlikte, bir veri setini \u00f6zetlemek i\u00e7in ortalamay\u0131 kullanman\u0131n iki potansiyel dezavantaj\u0131 vard\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Dezavantaj #1: Ortalama ayk\u0131r\u0131 de\u011ferlerden etkilenir.<\/strong> Bir veri k\u00fcmesinde a\u015f\u0131r\u0131 u\u00e7 de\u011ferler varsa, bu durum ortalamay\u0131 etkiler ve onu veri k\u00fcmesinin merkezinin g\u00fcvenilmez bir \u00f6l\u00e7\u00fcs\u00fc haline getirir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Dezavantaj #2: \u00c7arp\u0131k veri k\u00fcmeleri nedeniyle ortalama yan\u0131lt\u0131c\u0131 olabilir.<\/strong> Bir veri k\u00fcmesi <a href=\"https:\/\/statorials.org\/tr\/sol-onyargi-ve-sag-onyargi\/\" target=\"_blank\" rel=\"noopener\">sola veya sa\u011fa<\/a> e\u011fildi\u011finde ortalama alma, veri k\u00fcmesinin merkezini \u00f6l\u00e7menin yan\u0131lt\u0131c\u0131 bir yolu olabilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnekler uygulamadaki bu avantaj ve dezavantajlar\u0131 g\u00f6stermektedir.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: Ortalamay\u0131 Kullanman\u0131n Yararlar\u0131<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Belirli bir \u015fehrin sakinlerinin maa\u015flar\u0131n\u0131 g\u00f6steren a\u015fa\u011f\u0131daki histograma 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 genel olarak <a href=\"https:\/\/statorials.org\/tr\/simetrik-dagilim-1\/\" target=\"_blank\" rel=\"noopener\">simetrik<\/a> 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 ortalama, bu veri k\u00fcmesinin merkezini tan\u0131mlaman\u0131n yararl\u0131 bir yoludur.<\/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<p> <span style=\"color: #000000;\">Bu \u00f6zel \u00f6rnekte ortalama alman\u0131n her iki avantaj\u0131n\u0131 da kullanabildik:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Avantaj #1: Ortalama, hesaplamas\u0131nda bir veri k\u00fcmesindeki t\u00fcm g\u00f6zlemleri kullan\u0131r.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Da\u011f\u0131t\u0131m esasen simetrik oldu\u011fundan ve a\u015f\u0131r\u0131 ayk\u0131r\u0131 de\u011ferler olmad\u0131\u011f\u0131ndan, ortalamay\u0131 hesaplamak i\u00e7in mevcut t\u00fcm maa\u015flar\u0131 kullanabildik, bu da bize bu \u015fehirdeki &#8220;ortalama&#8221; veya &#8220;tipik&#8221; maa\u015f hakk\u0131nda iyi bir fikir verdi.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Avantaj #2: Ortalaman\u0131n hesaplanmas\u0131 ve yorumlanmas\u0131 kolayd\u0131r.<\/strong> Ortalama 63.000 dolarl\u0131k maa\u015f\u0131n bu \u015fehirdeki bir bireyin \u201cortalama\u201d maa\u015f\u0131n\u0131 temsil etti\u011fini anlamak kolayd\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Baz\u0131 bireyler bundan \u00e7ok daha fazla, baz\u0131lar\u0131 ise \u00e7ok daha az kazansa da, bu ortalama de\u011fer bize bu \u015fehirdeki &#8220;tipik&#8221; maa\u015f hakk\u0131nda iyi bir fikir veriyor.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u00d6rnek 2: Ortalamay\u0131 Kullanman\u0131n Dezavantajlar\u0131<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Diyelim ki \u00e7ok \u00e7arp\u0131k bir maa\u015f da\u011f\u0131l\u0131m\u0131m\u0131z var ve hem ortalama hem de medyan maa\u015f\u0131 hesaplamaya karar verdik:<\/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;\">Da\u011f\u0131l\u0131m\u0131n kuyru\u011fundaki daha y\u00fcksek de\u011ferler, ortalamay\u0131 merkezden uzakla\u015ft\u0131r\u0131p uzun kuyru\u011fa do\u011fru hareket ettirir.<\/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;\">Bu \u00f6rnekte, da\u011f\u0131l\u0131m \u00e7arp\u0131k oldu\u011fundan ortalama, bu da\u011f\u0131l\u0131mdaki &#8220;tipik&#8221; veya &#8220;ortalama&#8221; de\u011feri yetersiz bir \u015fekilde \u00f6zetlemektedir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Veya belirli bir caddedeki evlerin metrekaresi hakk\u0131nda bilgi i\u00e7eren ba\u015fka bir da\u011f\u0131l\u0131ma sahip oldu\u011fumuzu ve veri setinin hem ortalamas\u0131n\u0131 hem de ortancas\u0131n\u0131 hesaplamaya karar verdi\u011fimizi varsayal\u0131m:<\/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;\">Ortalaman\u0131n a\u015f\u0131r\u0131 b\u00fcy\u00fck birka\u00e7 evden etkilenmesi \u00e7ok daha y\u00fcksek de\u011fer almas\u0131na neden oluyor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, ortalama metrekare de\u011ferini yan\u0131lt\u0131c\u0131 hale getirir ve o sokaktaki bir evin &#8220;tipik&#8221; metrekaresi hakk\u0131nda zay\u0131f bir \u00f6l\u00e7\u00fcm sa\u011flar.<\/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 istatistiklerde ortalama ve medyan hakk\u0131nda ek bilgi sa\u011flar:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><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><\/span><\/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 Bir veri k\u00fcmesinin &#8220;merkezini&#8221; veya &#8220;ortalamas\u0131n\u0131&#8221; tan\u0131mlamak i\u00e7in ortalamay\u0131 kullanman\u0131n iki ana avantaj\u0131 vard\u0131r: [&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-5050","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>\u0130statistikte ortalamay\u0131 kullanman\u0131n avantajlar\u0131 ve dezavantajlar\u0131 - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde \u00f6rnekler kullanarak istatistikte ortalamay\u0131 kullanman\u0131n avantaj ve dezavantajlar\u0131 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\/istatistiklerde-ortalamanin-avantajlari-dezavantajlari\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u0130statistikte ortalamay\u0131 kullanman\u0131n avantajlar\u0131 ve dezavantajlar\u0131 - 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