{"id":4031,"date":"2023-07-14T01:44:50","date_gmt":"2023-07-14T01:44:50","guid":{"rendered":"https:\/\/statorials.org\/tr\/tek-cift-sayili-ceyrekleri-bulma\/"},"modified":"2023-07-14T01:44:50","modified_gmt":"2023-07-14T01:44:50","slug":"tek-cift-sayili-ceyrekleri-bulma","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/tek-cift-sayili-ceyrekleri-bulma\/","title":{"rendered":"\u00c7ift ve tek uzunluklu veri k\u00fcmelerinde \u00e7eyrekler nas\u0131l bulunur?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u00c7eyrekler,<\/strong> bir veri k\u00fcmesini d\u00f6rt e\u015fit par\u00e7aya b\u00f6len de\u011ferlerdir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u00c7ift<\/strong> say\u0131da de\u011fere sahip bir veri k\u00fcmesinin birinci ve \u00fc\u00e7\u00fcnc\u00fc \u00e7eyre\u011fini bulmak i\u00e7in \u015fu ad\u0131mlar\u0131 izleyin:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Medyan de\u011feri belirleyin (iki medyan de\u011ferin ortalamas\u0131)<\/span><\/li>\n<li> <span style=\"color: #000000;\">Veri k\u00fcmesini ortancada ikiye b\u00f6l\u00fcn<\/span><\/li>\n<li> <span style=\"color: #000000;\"><sub>Q1<\/sub> , veri setinin alt yar\u0131s\u0131ndaki medyan de\u011ferdir (medyan hari\u00e7)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><sub>Q3<\/sub> , veri k\u00fcmesinin \u00fcst yar\u0131s\u0131ndaki medyan de\u011ferdir (medyan hari\u00e7)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Tek<\/strong> say\u0131da de\u011fer i\u00e7eren bir veri k\u00fcmesinin birinci ve \u00fc\u00e7\u00fcnc\u00fc \u00e7eyre\u011fini bulmak i\u00e7in \u015fu ad\u0131mlar\u0131 izleyin:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Medyan de\u011feri belirleyin (ortadaki de\u011fer)<\/span><\/li>\n<li> <span style=\"color: #000000;\">Veri k\u00fcmesini ortancada ikiye b\u00f6l\u00fcn<\/span><\/li>\n<li> <span style=\"color: #000000;\"><sub>Q1<\/sub> , veri setinin alt yar\u0131s\u0131ndaki medyan de\u011ferdir (medyan hari\u00e7)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><sub>Q3<\/sub> , veri k\u00fcmesinin \u00fcst yar\u0131s\u0131ndaki medyan de\u011ferdir (medyan hari\u00e7)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnekler, her iki veri k\u00fcmesi t\u00fcr\u00fc i\u00e7in \u00e7eyreklerin nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Not<\/strong> : \u00c7eyrekler hesaplan\u0131rken baz\u0131 form\u00fcller medyan de\u011ferini i\u00e7erir. <a href=\"https:\/\/en.wikipedia.org\/wiki\/Quartile#:~:text=If%20there%20are%20(4n%2B3,%2B3)th%20data%20point.\" target=\"_blank\" rel=\"noopener\">Wikipedia&#8217;n\u0131n<\/a> belirtti\u011fi gibi, ayr\u0131k da\u011f\u0131l\u0131mlar i\u00e7in \u00e7eyreklerin nas\u0131l hesaplanaca\u011f\u0131 konusunda asl\u0131nda evrensel bir anla\u015fma yoktur. Burada payla\u015f\u0131lan form\u00fcller TI-84 hesap makineleri taraf\u0131ndan kullan\u0131lmaktad\u0131r, bu y\u00fczden bunlar\u0131 kullanmay\u0131 se\u00e7tik.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: \u00c7ift uzunluktaki bir veri k\u00fcmesi i\u00e7in \u00e7eyrekleri hesaplama<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">On de\u011fere sahip a\u015fa\u011f\u0131daki veri setine sahip oldu\u011fumuzu varsayal\u0131m:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Veri: 3, 3, 6, 8, 10, 14, 16, 16, 19, 24<\/span><\/p>\n<p> <span style=\"color: #000000;\">Medyan de\u011feri, iki medyan de\u011ferinin ortalamas\u0131d\u0131r, yani (10 + 14) \/ 2 = 12.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00c7eyrekleri hesaplarken bu medyan de\u011ferini dahil etmeyece\u011fiz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130lk \u00e7eyrek, de\u011ferlerin alt yar\u0131s\u0131n\u0131n medyan\u0131 olup <strong>6<\/strong> olarak ortaya \u00e7\u0131kar:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><sub>\u00c71<\/sub> = 3, 3, <strong>6<\/strong> , 8, 10<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00dc\u00e7\u00fcnc\u00fc \u00e7eyrek, de\u011ferlerin \u00fcst yar\u0131s\u0131n\u0131n medyan\u0131 olup <strong>16<\/strong> olarak ortaya \u00e7\u0131kar:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><sub>Q3<\/sub> = 14, 16, <strong>16<\/strong> , 19, 24<\/span><\/p>\n<p> <span style=\"color: #000000;\">Yani bu veri k\u00fcmesinin birinci ve \u00fc\u00e7\u00fcnc\u00fc \u00e7eyre\u011fi s\u0131ras\u0131yla 6 ve 16&#8217;d\u0131r.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u00d6rnek 2: Tek uzunluklu bir veri k\u00fcmesi i\u00e7in \u00e7eyrekleri hesaplama<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Dokuz de\u011fere sahip a\u015fa\u011f\u0131daki veri setine sahip oldu\u011fumuzu varsayal\u0131m:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Veri: 3, 3, 6, 8, 10, 14, 16, 16, 19<\/span><\/p>\n<p> <span style=\"color: #000000;\">Medyan de\u011feri ise tam ortada yer alan de\u011ferdir: 10.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00c7eyrekleri hesaplarken bu medyan de\u011ferini dahil etmeyece\u011fiz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130lk \u00e7eyrek, de\u011ferlerin alt yar\u0131s\u0131n\u0131n medyan\u0131d\u0131r. Ortada iki de\u011fer oldu\u011fundan ortalamas\u0131n\u0131 (3 + 6) \/ 2 = <strong>4,5<\/strong> olarak alaca\u011f\u0131z:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><sub>\u00c71<\/sub> = 3, <strong>3<\/strong> , <strong>6<\/strong> , 8<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00dc\u00e7\u00fcnc\u00fc \u00e7eyrek, de\u011ferlerin \u00fcst yar\u0131s\u0131n\u0131n medyan\u0131d\u0131r. Ortada iki de\u011fer oldu\u011fundan ortalamas\u0131n\u0131 al\u0131p (16 + 16) \/ 2 = <strong>16<\/strong> elde edece\u011fiz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><sub>Q3<\/sub> = 14, <strong>16<\/strong> , <strong>16<\/strong> , 19<\/span><\/p>\n<p> <span style=\"color: #000000;\">Yani bu veri k\u00fcmesinin birinci ve \u00fc\u00e7\u00fcnc\u00fc \u00e7eyre\u011fi s\u0131ras\u0131yla 4,5 ve 16&#8217;d\u0131r.<\/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\u011fitimlerde, farkl\u0131 istatistiksel yaz\u0131l\u0131mlar kullan\u0131larak bir veri k\u00fcmesinin \u00e7eyreklerinin nas\u0131l bulunaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/ceyrekler-arasi-aralik-excel\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de \u00e7eyrekler nas\u0131l hesaplan\u0131r<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/rdeki-ceyrekler\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de \u00e7eyrekler nas\u0131l hesaplan\u0131r<\/a><br \/> SAS&#8217;ta \u00e7eyrekler nas\u0131l hesaplan\u0131r<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u00c7eyrekler, bir veri k\u00fcmesini d\u00f6rt e\u015fit par\u00e7aya b\u00f6len de\u011ferlerdir. \u00c7ift say\u0131da de\u011fere sahip bir veri k\u00fcmesinin birinci ve \u00fc\u00e7\u00fcnc\u00fc \u00e7eyre\u011fini bulmak i\u00e7in \u015fu ad\u0131mlar\u0131 izleyin: Medyan de\u011feri belirleyin (iki medyan de\u011ferin ortalamas\u0131) Veri k\u00fcmesini ortancada ikiye b\u00f6l\u00fcn Q1 , veri setinin alt yar\u0131s\u0131ndaki medyan de\u011ferdir (medyan hari\u00e7) Q3 , veri k\u00fcmesinin \u00fcst yar\u0131s\u0131ndaki medyan de\u011ferdir [&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-4031","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - 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