{"id":732,"date":"2023-07-28T23:02:07","date_gmt":"2023-07-28T23:02:07","guid":{"rendered":"https:\/\/statorials.org\/tr\/z-puanlarini-karsilastir\/"},"modified":"2023-07-28T23:02:07","modified_gmt":"2023-07-28T23:02:07","slug":"z-puanlarini-karsilastir","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/z-puanlarini-karsilastir\/","title":{"rendered":"Farkl\u0131 da\u011f\u0131l\u0131mlara ait z puanlar\u0131n\u0131n kar\u015f\u0131la\u015ft\u0131r\u0131lmas\u0131"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Z-puan\u0131,<\/strong> tek bir veri de\u011ferinin ortalamadan ne kadar standart sapma d\u00fc\u015ft\u00fc\u011f\u00fcn\u00fc g\u00f6sterir. A\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>z-puan\u0131 = (x \u2013 \u03bc) \/ \u03c3<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x:<\/strong> bireysel veri de\u011feri<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u03bc:<\/strong> n\u00fcfus ortalamas\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u03c3:<\/strong> pop\u00fclasyon standart sapmas\u0131<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bireysel bir de\u011fere ili\u015fkin z-puan\u0131 \u015fu \u015fekilde yorumlanabilir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Pozitif z-puan\u0131:<\/strong> Bireysel de\u011fer ortalaman\u0131n \u00fczerindedir.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Negatif z-puan\u0131:<\/strong> Bireysel de\u011fer ortalaman\u0131n alt\u0131ndad\u0131r.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Z-puan\u0131 0:<\/strong> bireysel de\u011fer ortalamaya e\u015fittir.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Z puanlar\u0131, iki farkl\u0131 da\u011f\u0131l\u0131mdaki iki veri noktas\u0131n\u0131n g\u00f6receli konumunu kar\u015f\u0131la\u015ft\u0131rmak istedi\u011fimizde \u00f6zellikle faydal\u0131d\u0131r. Bunu a\u00e7\u0131klamak i\u00e7in a\u015fa\u011f\u0131daki \u00f6rne\u011fi inceleyin.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: Z Puanlar\u0131n\u0131 Kar\u015f\u0131la\u015ft\u0131rma<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Belirli bir \u00fcniversite s\u0131nav\u0131ndaki puanlar ortalama \u03bc = 80 ve standart sapma \u03c3 = 4 ile normal olarak da\u011f\u0131t\u0131l\u0131r. Duane bu s\u0131navdan 84 puan al\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ba\u015fka bir \u00fcniversite s\u0131nav\u0131ndaki puanlar ortalama \u03bc = 85 ve standart sapma \u03c3 = 8 ile normal \u015fekilde da\u011f\u0131l\u0131r. Debbie bu s\u0131navdan 90 al\u0131r.<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">Kendi s\u0131nav puanlar\u0131n\u0131n da\u011f\u0131l\u0131m\u0131yla kar\u015f\u0131la\u015ft\u0131r\u0131ld\u0131\u011f\u0131nda, s\u0131navda en iyi sonu\u00e7lar\u0131 kim elde etti?<\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\">Bu soruyu cevaplamak i\u00e7in her ki\u015finin s\u0131nav puan\u0131n\u0131n z-puan\u0131n\u0131 hesaplayabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Duane&#8217;nin z puan\u0131 = (x \u2013 \u03bc) \/ \u03c3 = (84 \u2013 80) \/ 4 = 4 \/ 4 = <strong>1<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Debbie&#8217;nin z-puan\u0131 = (x \u2013 \u03bc) \/ \u03c3 = (90 \u2013 85) \/ 8 = 5\/8 = <strong>0,625<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Debbie Daha y\u00fcksek puan almas\u0131na ra\u011fmen Duane&#8217;nin puan\u0131, kendi s\u0131nav\u0131n\u0131n da\u011f\u0131l\u0131m\u0131yla kar\u015f\u0131la\u015ft\u0131r\u0131ld\u0131\u011f\u0131nda asl\u0131nda daha y\u00fcksektir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bunu anlamak i\u00e7in durumu g\u00f6rselle\u015ftirmeye yard\u0131mc\u0131 olur. \u0130\u015fte Duane&#8217;nin puan\u0131n\u0131n kendi s\u0131nav d\u00f6k\u00fcm\u00fcyle kar\u015f\u0131la\u015ft\u0131r\u0131lmas\u0131:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-7578 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/comparaisonz1.png\" alt=\"Z puanlar\u0131n\u0131 normal da\u011f\u0131l\u0131m e\u011frisiyle kar\u015f\u0131la\u015ft\u0131rma \u00f6rne\u011fi\" width=\"470\" height=\"296\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u0130\u015fte Debbie&#8217;nin s\u0131nav d\u00f6k\u00fcm\u00fcnden ald\u0131\u011f\u0131 puan:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-7579\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/comparaisonz2.png\" alt=\"\u0130ki da\u011f\u0131l\u0131m\u0131n z puanlar\u0131n\u0131n kar\u015f\u0131la\u015ft\u0131r\u0131lmas\u0131\" width=\"471\" height=\"297\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Debbie&#8217;nin puan\u0131n\u0131n kendi n\u00fcfus ortalamas\u0131na Duane&#8217;ninkinden ne kadar yak\u0131n oldu\u011funa dikkat edin. Genel olarak daha y\u00fcksek bir puana sahip olmas\u0131na ra\u011fmen z-puan\u0131 daha d\u00fc\u015f\u00fck \u00e7\u00fcnk\u00fc kendi s\u0131nav\u0131ndaki ortalama puan daha y\u00fcksek.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu \u00f6rnek, z-puanlar\u0131n\u0131n farkl\u0131 da\u011f\u0131l\u0131mlardaki veri de\u011ferlerini kar\u015f\u0131la\u015ft\u0131rmak i\u00e7in neden bu kadar yararl\u0131 oldu\u011funu g\u00f6stermektedir: z-puanlar\u0131, da\u011f\u0131l\u0131mlar\u0131n ortalama ve standart sapmalar\u0131n\u0131 hesaba katarak farkl\u0131 da\u011f\u0131l\u0131mlardaki veri de\u011ferlerini kar\u015f\u0131la\u015ft\u0131rmam\u0131za ve hangisinin daha iyi oldu\u011funu g\u00f6rmemize olanak tan\u0131r. kendi da\u011f\u0131l\u0131mlar\u0131na g\u00f6re daha y\u00fcksektir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> Z puan\u0131 hesaplay\u0131c\u0131<br \/> <a href=\"https:\/\/statorials.org\/tr\/z-puani-hesaplayiciyi-karsilastirin\/\" target=\"_blank\" rel=\"noopener\">Z Puan\u0131 Hesaplay\u0131c\u0131y\u0131 Kar\u015f\u0131la\u015ft\u0131r\u0131n<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Z-puan\u0131, tek bir veri de\u011ferinin ortalamadan ne kadar standart sapma d\u00fc\u015ft\u00fc\u011f\u00fcn\u00fc g\u00f6sterir. A\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r: z-puan\u0131 = (x \u2013 \u03bc) \/ \u03c3 Alt\u0131n: x: bireysel veri de\u011feri \u03bc: n\u00fcfus ortalamas\u0131 \u03c3: pop\u00fclasyon standart sapmas\u0131 Bireysel bir de\u011fere ili\u015fkin z-puan\u0131 \u015fu \u015fekilde yorumlanabilir: Pozitif z-puan\u0131: Bireysel de\u011fer ortalaman\u0131n \u00fczerindedir. Negatif z-puan\u0131: Bireysel de\u011fer ortalaman\u0131n alt\u0131ndad\u0131r. Z-puan\u0131 [&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-732","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>Farkl\u0131 da\u011f\u0131l\u0131mlara ait Z puanlar\u0131n\u0131n kar\u015f\u0131la\u015ft\u0131r\u0131lmas\u0131 - Statorials<\/title>\n<meta name=\"description\" content=\"Z-puanlar\u0131 kullan\u0131larak farkl\u0131 da\u011f\u0131l\u0131mlardan iki veri de\u011ferinin nas\u0131l kar\u015f\u0131la\u015ft\u0131r\u0131laca\u011f\u0131na dair basit bir a\u00e7\u0131klama.\" \/>\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\/z-puanlarini-karsilastir\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Farkl\u0131 da\u011f\u0131l\u0131mlara ait Z puanlar\u0131n\u0131n kar\u015f\u0131la\u015ft\u0131r\u0131lmas\u0131 - 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