{"id":730,"date":"2023-07-28T23:09:11","date_gmt":"2023-07-28T23:09:11","guid":{"rendered":"https:\/\/statorials.org\/tr\/z-tablosu-nasil-kullanilir\/"},"modified":"2023-07-28T23:09:11","modified_gmt":"2023-07-28T23:09:11","slug":"z-tablosu-nasil-kullanilir","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/z-tablosu-nasil-kullanilir\/","title":{"rendered":"Z tablosu nas\u0131l kullan\u0131l\u0131r (\u00f6rneklerle)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Z tablosu, standart normal da\u011f\u0131l\u0131mda de\u011ferlerin y\u00fczde ka\u00e7\u0131n\u0131n belirli bir z puan\u0131n\u0131n alt\u0131na d\u00fc\u015ft\u00fc\u011f\u00fcn\u00fc s\u00f6yleyen bir tablodur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">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:<\/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;\">Bu e\u011fitimde z tablosunun kullan\u0131m\u0131na ili\u015fkin birka\u00e7 \u00f6rnek g\u00f6sterilmektedir.<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">\u00f6rnek 1<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Belirli bir \u00fcniversiteye giri\u015f s\u0131nav\u0131ndaki puanlar, ortalama <span style=\"color: #000000;\">\u03bc = 82 ve standart sapma \u03c3 = 8 ile normal olarak da\u011f\u0131t\u0131l\u0131r. \u00d6\u011frencilerin yakla\u015f\u0131k y\u00fczde ka\u00e7\u0131 s\u0131navda 84&#8217;\u00fcn alt\u0131nda puan al\u0131yor?<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 1: Z-puan\u0131n\u0131 bulun.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130lk olarak, 84 s\u0131nav puan\u0131yla ili\u015fkili z-puan\u0131n\u0131 bulaca\u011f\u0131z:<\/span><\/p>\n<p> <span style=\"color: #000000;\">z-puan\u0131 = (x \u2013 \u03bc) \/ \u03c3 = (84 \u2013 82) \/ 8 = 2\/8 = <strong>0,25<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: Z puan\u0131na kar\u015f\u0131l\u0131k gelen y\u00fczdeyi bulmak i\u00e7in z grafi\u011fini kullan\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra z tablosunda <strong>0,25<\/strong> de\u011ferini arayaca\u011f\u0131z:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-7555 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/ztable1.png\" alt=\"Z tablosunu okuma \u00f6rne\u011fi\" width=\"616\" height=\"350\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u00d6\u011frencilerin yakla\u015f\u0131k <strong>%59,87&#8217;si<\/strong> bu s\u0131navda 84&#8217;\u00fcn alt\u0131nda puan al\u0131yor.<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">\u00d6rnek 2<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Belirli bir bah\u00e7edeki bitkilerin boyu, ortalama \u03bc = 26,5 in\u00e7 ve standart sapma \u03c3 = 2,5 in\u00e7 olacak \u015fekilde normal olarak da\u011f\u0131l\u0131r. Bitkilerin yakla\u015f\u0131k y\u00fczde ka\u00e7\u0131 26 in\u00e7ten uzun?<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 1: Z-puan\u0131n\u0131 bulun.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130lk olarak 26 in\u00e7 y\u00fcksekli\u011fe ili\u015fkin z-puan\u0131n\u0131 bulaca\u011f\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\">z-puan\u0131 = (x \u2013 \u03bc) \/ \u03c3 = (26 \u2013 26,5) \/ 2,5 = -0,5 \/ 2,5 = <strong>-0,2<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: Z puan\u0131na kar\u015f\u0131l\u0131k gelen y\u00fczdeyi bulmak i\u00e7in z grafi\u011fini kullan\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra <strong>-0,2<\/strong> de\u011ferini arayaca\u011f\u0131z <strong>&nbsp;<\/strong> z tablosunda:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-7557 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/ztable2.png\" alt=\"z tablosunun nas\u0131l yorumlanaca\u011f\u0131na dair \u00f6rnek\" width=\"617\" height=\"608\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">De\u011ferlerin %42,07\u2019sinin -0,2 z-puan\u0131n\u0131n alt\u0131nda oldu\u011funu g\u00f6r\u00fcyoruz. Ancak bu \u00f6rnekte, %100 \u2013 %42,07 = %57,93 form\u00fcl\u00fcn\u00fc kullanarak bulabilece\u011fimiz de\u011ferlerin y\u00fczde ka\u00e7\u0131n\u0131n -0,2&#8217;den <em>b\u00fcy\u00fck<\/em> oldu\u011funu bilmek istiyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Yani bu bah\u00e7edeki bitkilerin yakla\u015f\u0131k <strong>%59,87&#8217;si<\/strong> 26 in\u00e7ten uzundur.<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">\u00d6rnek 3<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Belirli bir yunus t\u00fcr\u00fcn\u00fcn a\u011f\u0131rl\u0131\u011f\u0131, \u03bc = 400 pound ortalamas\u0131 ve \u03c3 = 25 pound standart sapmas\u0131 ile normal olarak da\u011f\u0131l\u0131r. Yunuslar\u0131n yakla\u015f\u0131k y\u00fczde ka\u00e7\u0131 410 ila 425 pound aras\u0131ndad\u0131r?<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 1: Z-puanlar\u0131n\u0131 bulun.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130lk olarak 410 kitap ve 425 kitapla ili\u015fkili z puanlar\u0131n\u0131 bulaca\u011f\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\">410&#8217;un z-puan\u0131 = (x \u2013 \u03bc) \/ \u03c3 = (410 \u2013 400) \/ 25 = 10\/25 = <strong>0,4<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">425 z puan\u0131 = (x \u2013 \u03bc) \/ \u03c3 = (425 \u2013 400) \/ 25 = 25 \/ 25 = <strong>1<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: Her bir z puan\u0131na kar\u015f\u0131l\u0131k gelen y\u00fczdeleri bulmak i\u00e7in z grafi\u011fini kullan\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130lk \u00f6nce <strong>0,4<\/strong> de\u011ferini arayaca\u011f\u0131z. <strong>&nbsp;<\/strong> z tablosunda:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-7558 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/ztable3.png\" alt=\"Z tablosunu kullanma \u00f6rne\u011fi\" width=\"618\" height=\"384\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra <strong>1<\/strong> de\u011ferini arayaca\u011f\u0131z <strong>&nbsp;<\/strong> z tablosunda:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-7559 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/ztable4.png\" alt=\"Z tablosu \u00f6rne\u011fi\" width=\"616\" height=\"381\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Son olarak en b\u00fcy\u00fck de\u011ferden en k\u00fc\u00e7\u00fck de\u011feri \u00e7\u0131karaca\u011f\u0131z: <strong>0,8413 \u2013 0,6554 = 0,1859<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Yani yunuslar\u0131n yakla\u015f\u0131k <strong>%18,59&#8217;unun<\/strong> a\u011f\u0131rl\u0131\u011f\u0131 410 ila 425 pound aras\u0131ndad\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> Normal da\u011f\u0131l\u0131ma giri\u015f<br \/> <a href=\"https:\/\/statorials.org\/tr\/hizli-normal-cdf-hesaplayici\/\" target=\"_blank\" rel=\"noopener\">Normal Da\u011f\u0131t\u0131m Alan\u0131 Hesaplay\u0131c\u0131s\u0131<\/a><br \/> Z puan\u0131 hesaplay\u0131c\u0131<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Z tablosu, standart normal da\u011f\u0131l\u0131mda de\u011ferlerin y\u00fczde ka\u00e7\u0131n\u0131n belirli bir z puan\u0131n\u0131n alt\u0131na d\u00fc\u015ft\u00fc\u011f\u00fcn\u00fc s\u00f6yleyen bir tablodur. 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 Bu e\u011fitimde z tablosunun [&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-730","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>Z Tablosu Nas\u0131l Kullan\u0131l\u0131r (\u00d6rneklerle) - Statorials<\/title>\n<meta name=\"description\" content=\"Birka\u00e7 ad\u0131m ad\u0131m \u00f6rnek i\u00e7eren, Z tablosunun nas\u0131l kullan\u0131laca\u011f\u0131na ili\u015fkin 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-tablosu-nasil-kullanilir\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Z Tablosu Nas\u0131l Kullan\u0131l\u0131r (\u00d6rneklerle) - 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