{"id":1355,"date":"2023-07-26T18:07:04","date_gmt":"2023-07-26T18:07:04","guid":{"rendered":"https:\/\/statorials.org\/tr\/z-puanlarini-yorumlama\/"},"modified":"2023-07-26T18:07:04","modified_gmt":"2023-07-26T18:07:04","slug":"z-puanlarini-yorumlama","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/z-puanlarini-yorumlama\/","title":{"rendered":"Z skorlar\u0131 nas\u0131l yorumlan\u0131r: \u00f6rneklerle"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0130statistiklerde <strong>z-puan\u0131<\/strong> bize<\/span> <span style=\"color: #000000;\">belirli bir de\u011ferin <a href=\"https:\/\/statorials.org\/tr\/merkezi-egilimi-olcer\/\" target=\"_blank\" rel=\"noopener noreferrer\">ortalamadan<\/a> ka\u00e7 standart sapma oldu\u011funu s\u00f6yler. Z-puan\u0131n\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullan\u0131r\u0131z:<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>z<\/strong> = (X \u2013 \u03bc) \/ \u03c3<\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">X tek bir ham veri de\u011feridir<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u03bc ortalamad\u0131r<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u03c3 standart sapmad\u0131r<\/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-puan\u0131n\u0131n mutlak de\u011feri ne kadar b\u00fcy\u00fckse, bireysel de\u011fer ortalamadan o kadar uzakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnek z-puanlar\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 ve yorumlanaca\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: Z Puanlar\u0131n\u0131 Hesaplama ve Yorumlama<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Belirli bir s\u0131navdaki puanlar\u0131n ortalamas\u0131 80 ve standart sapmas\u0131 4 olacak \u015fekilde normal da\u011f\u0131ld\u0131\u011f\u0131n\u0131 varsayal\u0131m.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Soru 1:<\/strong> 87 olan s\u0131nav puan\u0131n\u0131n z-puan\u0131n\u0131 bulunuz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Z-puan\u0131n\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki ad\u0131mlar\u0131 kullanabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Ortalama \u03bc = 80<\/span><\/li>\n<li> <span style=\"color: #000000;\">Standart sapma \u03c3 = 4<\/span><\/li>\n<li> <span style=\"color: #000000;\">Bizi ilgilendiren bireysel de\u011fer<\/span><\/li>\n<li> <span style=\"color: #000000;\">B\u00f6ylece z = (X \u2013 \u03bc) \/ \u03c3 = (87 \u2013 80) \/4 = <strong>1,75<\/strong> olur.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu bize 87&#8217;lik bir s\u0131nav puan\u0131n\u0131n <strong>ortalaman\u0131n 1,75 standart sapma <em>\u00fczerinde<\/em><\/strong> oldu\u011funu s\u00f6yl\u00fcyor.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Soru 2:<\/strong> S\u0131nav puan\u0131 75 olan\u0131n z-puan\u0131n\u0131 bulunuz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Z-puan\u0131n\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki ad\u0131mlar\u0131 kullanabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Ortalama \u03bc = 80<\/span><\/li>\n<li> <span style=\"color: #000000;\">Standart sapma \u03c3 = 4<\/span><\/li>\n<li> <span style=\"color: #000000;\">Bizi ilgilendiren bireysel de\u011fer X = 75<\/span><\/li>\n<li> <span style=\"color: #000000;\">B\u00f6ylece z = (X \u2013 \u03bc) \/ \u03c3 = (75 \u2013 80) \/4 = \u2013 <strong>1,25<\/strong> olur.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu bize 75&#8217;lik bir test puan\u0131n\u0131n <strong>ortalaman\u0131n 1,25 standart sapma <em>alt\u0131nda<\/em><\/strong> oldu\u011funu s\u00f6yler.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Soru 3:<\/strong> S\u0131nav puan\u0131 80 olan\u0131n z-puan\u0131n\u0131 bulunuz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Z-puan\u0131n\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki ad\u0131mlar\u0131 kullanabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Ortalama \u03bc = 80<\/span><\/li>\n<li> <span style=\"color: #000000;\">Standart sapma \u03c3 = 4<\/span><\/li>\n<li> <span style=\"color: #000000;\">Bizi ilgilendiren bireysel de\u011fer X = 80&#8217;dir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">B\u00f6ylece z = (X \u2013 \u03bc) \/ \u03c3 = (80 \u2013 80) \/4 = <strong>0 olur<\/strong> .<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu bize 80&#8217;lik bir inceleme puan\u0131n\u0131n <strong>tam olarak ortalamaya e\u015fit<\/strong> oldu\u011funu s\u00f6yl\u00fcyor.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Z puanlar\u0131 neden faydal\u0131d\u0131r?<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Z puanlar\u0131 faydal\u0131d\u0131r \u00e7\u00fcnk\u00fc bize bireysel bir de\u011ferin da\u011f\u0131l\u0131m\u0131n geri kalan\u0131yla nas\u0131l kar\u015f\u0131la\u015ft\u0131r\u0131ld\u0131\u011f\u0131na dair bir fikir verir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin bir s\u0131navdan 87 almak iyi bir puan m\u0131d\u0131r? Bu, t\u00fcm s\u0131nav sonu\u00e7lar\u0131n\u0131n ortalamas\u0131na ve standart sapmas\u0131na ba\u011fl\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">E\u011fer evrenin tamam\u0131 i\u00e7in s\u0131nav puanlar\u0131 ortalamas\u0131 90 ve standart sapmas\u0131 4 olacak \u015fekilde normal da\u011f\u0131l\u0131yorsa, 87 i\u00e7in z-puan\u0131n\u0131 \u015fu \u015fekilde hesaplar\u0131z:<\/span><\/p>\n<p> <span style=\"color: #000000;\">z = (X \u2013 \u03bc) \/ \u03c3 = (87 \u2013 90) \/4 = <strong>-0,75<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu de\u011ferin negatif olmas\u0131 bize 87 olan s\u0131nav puan\u0131n\u0131n asl\u0131nda n\u00fcfusun ortalama s\u0131nav puan\u0131n\u0131n <em>alt\u0131nda<\/em> oldu\u011funu s\u00f6yl\u00fcyor. Spesifik olarak, 87&#8217;lik bir s\u0131nav puan\u0131 <strong>ortalaman\u0131n 0,75 standart sapma alt\u0131ndad\u0131r<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6zetle, z puanlar\u0131 bize bireysel de\u011ferlerin ortalamayla nas\u0131l kar\u015f\u0131la\u015ft\u0131r\u0131ld\u0131\u011f\u0131na dair bir fikir verir.<\/span><\/p>\n<h3> <strong>Pratikte Z puanlar\u0131 nas\u0131l hesaplan\u0131r?<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimlerde, farkl\u0131 istatistiksel yaz\u0131l\u0131mlarda z puanlar\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131na ili\u015fkin ad\u0131m ad\u0131m \u00f6rnekler g\u00f6sterilmektedir:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/z-puani-excel\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de Z Puanlar\u0131 Nas\u0131l Hesaplan\u0131r?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/zr-puani\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de Z puanlar\u0131 nas\u0131l hesaplan\u0131r<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/z-puani-pitonu\/\" target=\"_blank\" rel=\"noopener\">Python&#8217;da Z puanlar\u0131 nas\u0131l hesaplan\u0131r<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/z-puanlari-spss\/\" target=\"_blank\" rel=\"noopener\">SPSS&#8217;de Z Puanlar\u0131 Nas\u0131l Hesaplan\u0131r?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130statistiklerde z-puan\u0131 bize belirli bir de\u011ferin ortalamadan ka\u00e7 standart sapma oldu\u011funu s\u00f6yler. Z-puan\u0131n\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullan\u0131r\u0131z: z = (X \u2013 \u03bc) \/ \u03c3 Alt\u0131n: X tek bir ham veri de\u011feridir \u03bc ortalamad\u0131r \u03c3 standart sapmad\u0131r 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 [&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-1355","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 Skorlar\u0131 Nas\u0131l Yorumlan\u0131r: \u00d6rneklerle<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, \u00e7e\u015fitli \u00f6rnekler de dahil olmak \u00fczere istatistiklerde z puanlar\u0131n\u0131n nas\u0131l yorumlanaca\u011f\u0131na ili\u015fkin basit bir a\u00e7\u0131klama sa\u011flanmaktad\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\/z-puanlarini-yorumlama\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Z Skorlar\u0131 Nas\u0131l Yorumlan\u0131r: \u00d6rneklerle\" \/>\n<meta property=\"og:description\" content=\"Bu e\u011fitimde, \u00e7e\u015fitli \u00f6rnekler de dahil olmak \u00fczere istatistiklerde z puanlar\u0131n\u0131n nas\u0131l yorumlanaca\u011f\u0131na ili\u015fkin basit bir a\u00e7\u0131klama sa\u011flanmaktad\u0131r.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/z-puanlarini-yorumlama\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-26T18:07:04+00:00\" \/>\n<meta name=\"author\" content=\"Dr.benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Yazan:\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr.benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tahmini okuma s\u00fcresi\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/z-puanlarini-yorumlama\/\",\"url\":\"https:\/\/statorials.org\/tr\/z-puanlarini-yorumlama\/\",\"name\":\"Z Skorlar\u0131 Nas\u0131l Yorumlan\u0131r: \u00d6rneklerle\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-26T18:07:04+00:00\",\"dateModified\":\"2023-07-26T18:07:04+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu e\u011fitimde, \u00e7e\u015fitli \u00f6rnekler de dahil olmak \u00fczere istatistiklerde z puanlar\u0131n\u0131n nas\u0131l yorumlanaca\u011f\u0131na ili\u015fkin basit bir a\u00e7\u0131klama sa\u011flanmaktad\u0131r.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/z-puanlarini-yorumlama\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/z-puanlarini-yorumlama\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/z-puanlarini-yorumlama\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Z skorlar\u0131 nas\u0131l yorumlan\u0131r: \u00f6rneklerle\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/tr\/#website\",\"url\":\"https:\/\/statorials.org\/tr\/\",\"name\":\"Statorials\",\"description\":\"\u0130statistik okuryazarl\u0131\u011f\u0131 rehberiniz!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/tr\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"tr\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\",\"name\":\"Dr.benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"tr\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr.benjamin anderson\"},\"description\":\"Merhaba, ben Benjamin, emekli bir istatistik profes\u00f6r\u00fc ve Statorials \u00f6\u011fretmenine d\u00f6n\u00fc\u015ft\u00fcm. \u0130statistik alan\u0131ndaki kapsaml\u0131 deneyimim ve uzmanl\u0131\u011f\u0131mla, \u00f6\u011frencilerimi Statorials arac\u0131l\u0131\u011f\u0131yla g\u00fc\u00e7lendirmek i\u00e7in bilgilerimi payla\u015fmaya can at\u0131yorum. 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