{"id":1521,"date":"2023-07-26T01:20:23","date_gmt":"2023-07-26T01:20:23","guid":{"rendered":"https:\/\/statorials.org\/tr\/marjinal-ortalama\/"},"modified":"2023-07-26T01:20:23","modified_gmt":"2023-07-26T01:20:23","slug":"marjinal-ortalama","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/marjinal-ortalama\/","title":{"rendered":"Marjinal ortalama nedir? (tan\u0131m &amp; #038; \u00f6rnek)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Bir beklenmedik durum tablosunda, bir de\u011fi\u015fkenin <strong>marjinal ortalamalar\u0131<\/strong> , o de\u011fi\u015fkenin di\u011fer de\u011fi\u015fkenin her seviyesinde ortalamas\u0131 al\u0131nan ortalamalar\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ad\u0131ndan da anla\u015f\u0131laca\u011f\u0131 gibi bu ortalamalar, beklenmedik durum tablosunun <strong>kenarlar\u0131nda<\/strong> g\u00f6r\u00fcn\u00fcr.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15075 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/marginalmoyenne9.png\" alt=\"\" width=\"522\" height=\"153\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnek, belirli bir olas\u0131l\u0131k tablosu i\u00e7in marjinal ortalamalar\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: Marjinal ortalamalar\u0131n hesaplanmas\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki olas\u0131l\u0131k tablosu, s\u0131nava haz\u0131rlanmak i\u00e7in \u00fc\u00e7 farkl\u0131 \u00e7al\u0131\u015fma tekni\u011fini kullanan 100 \u00f6\u011frencinin ortalama s\u0131nav puan\u0131n\u0131 g\u00f6stermektedir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Sat\u0131rlar \u00f6\u011frencinin cinsiyetini, s\u00fctunlar ise kulland\u0131klar\u0131 \u00e7al\u0131\u015fma tekni\u011fini g\u00f6sterir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-15069 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/marginalmoyenne3.png\" alt=\"\" width=\"325\" height=\"104\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Cinsiyet marjinal ortalamalar\u0131,<\/strong> her \u00f6\u011frenme tekni\u011fi seviyesi i\u00e7in ortalamas\u0131 al\u0131nan her cinsiyet seviyesinin ortalamalar\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin erkekler i\u00e7in ortalama marjinal s\u0131nav puan\u0131 \u015fu \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Erkekler i\u00e7in marjinal ortalama: (79,5 + 88,7 + 89,2) \/ 3 = <strong>85,8<\/strong><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-15070 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/marginalmoyenne4.png\" alt=\"\" width=\"385\" height=\"102\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Benzer \u015fekilde kad\u0131nlar\u0131n marjinal ortalama s\u0131nav puan\u0131 \u015fu \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Kad\u0131nlar i\u00e7in marjinal ortalama: (88,3 + 87,7 + 90,6) \/ 3 = <strong>88,87<\/strong><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-15071 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/marginalmoyenne5.png\" alt=\"\" width=\"390\" height=\"104\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u00c7al\u0131\u015fma tekni\u011finin marjinal ara\u00e7lar\u0131,<\/strong> her cinsiyet d\u00fczeyi i\u00e7in ortalamas\u0131 al\u0131nan her d\u00fczeydeki \u00e7al\u0131\u015fma tekni\u011finin ara\u00e7lar\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, Teknik 1&#8217;i kullanan \u00f6\u011frencilerin marjinal ortalama s\u0131nav puan\u0131 \u015fu \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Tekni\u011fin marjinal ortalamas\u0131 1: (79,5 + 88,3) \/ 2 = <strong>83,9<\/strong><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-15072 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/marginalmoyenne6.png\" alt=\"\" width=\"380\" height=\"130\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Teknik 2&#8217;yi kullanan \u00f6\u011frencilerin marjinal ortalama s\u0131nav puan\u0131 \u015fu \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Teknik 2&#8217;nin marjinal ortalamas\u0131: (88,7 + 87,7) \/ 2 = <strong>88,2<\/strong><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"wp-image-15073 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/marginalmoyenne7.png\" alt=\"\" width=\"389\" height=\"135\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Teknik 3&#8217;\u00fc kullanan \u00f6\u011frencilerin marjinal ortalama s\u0131nav puan\u0131 \u015fu \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Teknik 3&#8217;\u00fcn marjinal ortalamas\u0131: (89,2 + 90,6) \/ 2 = <strong>89,9<\/strong><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15074 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/marginalmoyenne8.png\" alt=\"\" width=\"390\" height=\"135\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u0130ki de\u011fi\u015fkenin marjinal ortalamalar\u0131n\u0131n, beklenmedik durum tablosunun <strong>kenarlar\u0131nda<\/strong> g\u00f6r\u00fcnd\u00fc\u011f\u00fcn\u00fc g\u00f6rebiliriz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15075 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/marginalmoyenne9.png\" alt=\"\" width=\"522\" height=\"153\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Neden marjinal yollara ba\u015fvurulsun?<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Marjinal ortalamalar faydal\u0131d\u0131r \u00e7\u00fcnk\u00fc bize bir de\u011fi\u015fkenin belirli bir seviyesi i\u00e7in genel ortalama de\u011feri s\u00f6ylerler.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin \u00f6nceki senaryoda \u015funlar\u0131 biliyorduk:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u00c7al\u0131\u015fma tekni\u011fi 1&#8217;i kullanan erkeklerin ortalama s\u0131nav puan\u0131 79,5&#8217;ti.<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u00c7al\u0131\u015fma tekni\u011fi 2&#8217;yi kullanan erkeklerin ortalama s\u0131nav puan\u0131 88,7 idi.<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u00c7al\u0131\u015fma tekni\u011fi 3&#8217;\u00fc kullanan erkeklerin ortalama s\u0131nav puan\u0131 89,2 idi.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Peki ya sadece erkekler i\u00e7in genel ortalama puan\u0131 bilmek isteseydik?<\/span><\/p>\n<p> <span style=\"color: #000000;\">Erkeklerin marjinal ortalamas\u0131 buna cevap verebilir: Erkeklerin genel ortalama puan\u0131 <strong>85,8&#8217;di<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ayn\u0131 \u015fekilde \u015funlar\u0131 da biliyorduk:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u00c7al\u0131\u015fma tekni\u011fi 1&#8217;i kullanan erkeklerin ortalama s\u0131nav puan\u0131 79,5&#8217;ti.<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u00c7al\u0131\u015fma tekni\u011fi 1&#8217;i kullanan kad\u0131nlar\u0131n ortalama s\u0131nav puan\u0131 88,3&#8217;t\u00fc.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Peki ya sadece \u00e7al\u0131\u015fma tekni\u011fi 1&#8217;i kullanan \u00f6\u011frencilerin genel ortalama puan\u0131n\u0131 bilmek isteseydik?<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00c7al\u0131\u015fma tekni\u011finin marjinal ortalamas\u0131 buna cevap verebilir: \u00c7al\u0131\u015fma tekni\u011fi 1&#8217;i kullanan \u00f6\u011frencilerin genel ortalama puan\u0131 <strong>83,9&#8217;du<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Temel olarak, marjinal ortalamalar bize belirli de\u011fi\u015fken d\u00fczeylerine ili\u015fkin ortalamalar\u0131 anlamam\u0131z i\u00e7in basit bir yol sa\u011flar.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/marjinal-dagilim\/\" target=\"_blank\" rel=\"noopener\">Marjinal da\u011f\u0131l\u0131m nedir?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/ortak-olasilik-dagilimi\/\" target=\"_blank\" rel=\"noopener\">Ortak da\u011f\u0131t\u0131m nedir?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/kosullu-dagitim\/\" target=\"_blank\" rel=\"noopener\">Ko\u015fullu da\u011f\u0131l\u0131m nedir?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bir beklenmedik durum tablosunda, bir de\u011fi\u015fkenin marjinal ortalamalar\u0131 , o de\u011fi\u015fkenin di\u011fer de\u011fi\u015fkenin her seviyesinde ortalamas\u0131 al\u0131nan ortalamalar\u0131d\u0131r. Ad\u0131ndan da anla\u015f\u0131laca\u011f\u0131 gibi bu ortalamalar, beklenmedik durum tablosunun kenarlar\u0131nda g\u00f6r\u00fcn\u00fcr. A\u015fa\u011f\u0131daki \u00f6rnek, belirli bir olas\u0131l\u0131k tablosu i\u00e7in marjinal ortalamalar\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6sterir. \u00d6rnek: Marjinal ortalamalar\u0131n hesaplanmas\u0131 A\u015fa\u011f\u0131daki olas\u0131l\u0131k tablosu, s\u0131nava haz\u0131rlanmak i\u00e7in \u00fc\u00e7 farkl\u0131 \u00e7al\u0131\u015fma tekni\u011fini [&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-1521","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>Marjinal ortalama nedir? 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Daha fazlas\u0131n\u0131 bil","sameAs":["https:\/\/statorials.org\/tr"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts\/1521","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/comments?post=1521"}],"version-history":[{"count":0,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts\/1521\/revisions"}],"wp:attachment":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/media?parent=1521"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/categories?post=1521"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/tags?post=1521"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}