{"id":711,"date":"2023-07-29T00:40:47","date_gmt":"2023-07-29T00:40:47","guid":{"rendered":"https:\/\/statorials.org\/tr\/z-puani-ti-84-hesaplayici\/"},"modified":"2023-07-29T00:40:47","modified_gmt":"2023-07-29T00:40:47","slug":"z-puani-ti-84-hesaplayici","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/z-puani-ti-84-hesaplayici\/","title":{"rendered":"Ti-84 hesap makinesinde z puanlar\u0131 nas\u0131l hesaplan\u0131r?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Z-puan\u0131<\/strong> bize belirli bir de\u011ferin ortalamadan ka\u00e7 standart sapma oldu\u011funu g\u00f6sterir. Belirli bir de\u011ferin z-puan\u0131 \u015fu \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>z-puan\u0131<\/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;\"><strong>x:<\/strong> bireysel de\u011fer<\/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, TI-84 hesap makinesinde z-puanlar\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Tek bir de\u011ferin Z puan\u0131 nas\u0131l hesaplan\u0131r?<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir da\u011f\u0131l\u0131m\u0131n ortalamas\u0131 12 ve standart sapmas\u0131 1,4 olan normal bir da\u011f\u0131l\u0131ma sahip oldu\u011funu ve bireysel x = 14 de\u011ferinin z-puan\u0131n\u0131 hesaplamak istedi\u011fimizi varsayal\u0131m. Bir TI-84 hesaplay\u0131c\u0131s\u0131nda z-puan\u0131n\u0131 hesaplamak i\u00e7in, basit\u00e7e \u015funu yapar\u0131z: a\u015fa\u011f\u0131daki form\u00fcl\u00fc yaz\u0131n:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-7048 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/zscoreti1.png\" alt=\"TI-84 hesap makinesinde Z puan\u0131n\u0131 hesaplama\" width=\"312\" height=\"133\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu bize bireysel 14 de\u011ferinin <strong>1,4286<\/strong> z puan\u0131na sahip oldu\u011funu s\u00f6yler. Yani 14 de\u011feri ortalaman\u0131n 1,4286 standart sapma \u00fczerindedir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Birden fazla de\u011ferin Z puan\u0131 nas\u0131l hesaplan\u0131r?<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bunun yerine, veri de\u011ferlerinin bir listesine sahip oldu\u011fumuzu ve listedeki her de\u011fer i\u00e7in z puan\u0131n\u0131 hesaplamak istedi\u011fimizi varsayal\u0131m. Bu durumda a\u015fa\u011f\u0131daki ad\u0131mlar\u0131 ger\u00e7ekle\u015ftirebiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 1: Verileri girin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6ncelikle veri de\u011ferlerini girece\u011fiz. <span style=\"border: 1px solid black;\">Stat&#8217;a<\/span> ve ard\u0131ndan <span style=\"border: 1px solid black;\">EDIT&#8217;e<\/span> bas\u0131n. L1 s\u00fctununa a\u015fa\u011f\u0131daki de\u011ferleri girin:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-7050 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/zscoreti2.png\" alt=\"TI-84 hesaplay\u0131c\u0131s\u0131nda L1'deki ham veri de\u011ferleri\" width=\"350\" height=\"233\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: Veri de\u011ferlerinin ortalamas\u0131n\u0131 ve standart sapmas\u0131n\u0131 bulun.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra veri setinin ortalamas\u0131n\u0131 ve standart sapmas\u0131n\u0131 bulaca\u011f\u0131z.<\/span> <span style=\"color: #000000;\"><span style=\"border: 1px solid black;\">Stat&#8217;a<\/span> bas\u0131n ve ard\u0131ndan <strong>CALC&#8217;ye<\/strong> gidin. <strong>Stats 1-Var&#8217;\u0131<\/strong> vurgulay\u0131n ve <span style=\"border: 1px solid black;\">Enter&#8217;a<\/span> bas\u0131n.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-7051 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/zscoreti3.png\" alt=\"TI-84 Hesaplay\u0131c\u0131da 1-Var \u0130statistikleri\" width=\"342\" height=\"198\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>List<\/strong> i\u00e7in, verilerimizi girdi\u011fimiz s\u00fctun bu oldu\u011fundan L1&#8217;in se\u00e7ildi\u011finden emin olun. <strong>FreqList&#8217;i<\/strong> bo\u015f b\u0131rak\u0131n. <strong>Hesapla&#8217;y\u0131<\/strong> vurgulay\u0131n ve <span style=\"border: 1px solid black;\">Enter&#8217;a<\/span> bas\u0131n.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-7052 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/zscoreti4.png\" alt=\"TI-84 hesap makinesinde 1-Var istatistikleri\" width=\"305\" height=\"155\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00e7\u0131kt\u0131 g\u00f6r\u00fcnecektir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-7053 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/zscoreti5.png\" alt=\"TI-84 hesap makinesinde 1-Var istatistiklerinin \u00e7\u0131kt\u0131s\u0131 al\u0131nmas\u0131\" width=\"307\" height=\"158\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Veri k\u00fcmesinin ortalamas\u0131n\u0131n <span style=\"text-decoration: overline;\">x<\/span> = <strong>10<\/strong> ve standart sapmas\u0131n\u0131n s <sub>x<\/sub> = <strong>5,558<\/strong> oldu\u011funu g\u00f6rebiliriz. Bir sonraki ad\u0131mda z-puanlar\u0131n\u0131 hesaplamak i\u00e7in bu iki de\u011feri kullanaca\u011f\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 3: Her z-puan\u0131n\u0131 hesaplamak i\u00e7in bir form\u00fcl kullan\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra veri k\u00fcmesindeki her bir de\u011fer i\u00e7in z-puan\u0131n\u0131 hesaplayaca\u011f\u0131z. <span style=\"border: 1px solid black;\">Stat&#8217;a<\/span> ve ard\u0131ndan <span style=\"border: 1px solid black;\">EDIT&#8217;e<\/span> bas\u0131n. L2&#8217;yi vurgulay\u0131n ve ( <strong>L1-10)\/5.558<\/strong> form\u00fcl\u00fcn\u00fc yaz\u0131n ve <span style=\"border: 1px solid black;\">Enter&#8217;a<\/span> bas\u0131n. Her bir de\u011ferin z puan\u0131 otomatik olarak L2 s\u00fctununda g\u00f6r\u00fcnecektir:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em><strong>Not:<\/strong> Form\u00fcle &#8220;L1&#8221; girmek i\u00e7in <span style=\"border: 1px solid black;\">2&#8217;ye<\/span> , ard\u0131ndan <span style=\"border: 1px solid black;\">1&#8217;e<\/span> bas\u0131n.<\/em><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-7055 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/zscoreti6.png\" alt=\"TI-84 hesap makinesinde Z puan\u0131 hesaplamalar\u0131\" width=\"342\" height=\"230\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h2> <strong>Z puanlar\u0131 nas\u0131l yorumlan\u0131r?<\/strong><\/h2>\n<p> <span style=\"color: #000000;\">Z-puan\u0131n\u0131n bize basit\u00e7e bir de\u011ferin ortalamadan ka\u00e7 standart sapma oldu\u011funu s\u00f6yledi\u011fini unutmay\u0131n. Z puan\u0131 pozitif, negatif veya s\u0131f\u0131ra e\u015fit olabilir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Pozitif bir z puan\u0131,<\/strong> belirli bir de\u011ferin ortalaman\u0131n \u00fczerinde oldu\u011funu g\u00f6sterir.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Negatif z puan\u0131,<\/strong> belirli bir de\u011ferin ortalaman\u0131n alt\u0131nda oldu\u011funu g\u00f6sterir.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>S\u0131f\u0131r z-puan\u0131,<\/strong> belirli bir de\u011ferin ortalamaya e\u015fit oldu\u011funu g\u00f6sterir.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fimizde ortalaman\u0131n <strong>10<\/strong> , standart sapman\u0131n ise <strong>5,558<\/strong> oldu\u011funu bulduk.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Yani veri setimizdeki ilk de\u011fer 3&#8217;t\u00fc ve bunun z puan\u0131 (3-10)\/5.558 = <strong>-1.259&#8217;du<\/strong> . Bu da \u201c3\u201d de\u011ferinin ortalaman\u0131n 1.259 standart sapma <em>alt\u0131nda<\/em> oldu\u011fu anlam\u0131na geliyor.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-7055 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/zscoreti6.png\" alt=\"TI-84 hesap makinesinde Z puan\u0131 hesaplamalar\u0131\" width=\"342\" height=\"230\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Veri setimizdeki bir sonraki de\u011fer olan 4&#8217;\u00fcn z puan\u0131 (4-10) \/ 5,558 = <strong>-1,08&#8217;di<\/strong> . Bu, \u201c4\u201d de\u011ferinin ortalaman\u0131n 1,08 standart sapma <em>alt\u0131nda<\/em> oldu\u011fu anlam\u0131na gelir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir de\u011fer ortalamadan ne kadar uzaksa, o de\u011fer i\u00e7in z puan\u0131n\u0131n mutlak de\u011feri o kadar y\u00fcksek olacakt\u0131r.<\/span><\/p>\n<p data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\">\u00d6rne\u011fin, 3 de\u011feri ortalamadan 4 de\u011ferinden daha uzaktad\u0131r; bu da 3&#8217;\u00fcn neden daha b\u00fcy\u00fck mutlak de\u011fere sahip bir z puan\u0131na sahip oldu\u011funu a\u00e7\u0131klar.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Z-puan\u0131 bize belirli bir de\u011ferin ortalamadan ka\u00e7 standart sapma oldu\u011funu g\u00f6sterir. Belirli bir de\u011ferin z-puan\u0131 \u015fu \u015fekilde hesaplan\u0131r: z-puan\u0131 = (x \u2013 \u03bc) \/ \u03c3 Alt\u0131n: x: bireysel de\u011fer \u03bc: n\u00fcfus ortalamas\u0131 \u03c3: pop\u00fclasyon standart sapmas\u0131 Bu e\u011fitimde, TI-84 hesap makinesinde z-puanlar\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r. Tek bir de\u011ferin Z puan\u0131 nas\u0131l hesaplan\u0131r? Bir da\u011f\u0131l\u0131m\u0131n ortalamas\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-711","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>TI-84 Hesap Makinesinde Z Puanlar\u0131 Nas\u0131l Hesaplan\u0131r - Statorials<\/title>\n<meta name=\"description\" content=\"Birka\u00e7 \u00f6rnek i\u00e7eren, TI-84 hesap makinesinde z puanlar\u0131n\u0131n nas\u0131l hesaplanaca\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-puani-ti-84-hesaplayici\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"TI-84 Hesap Makinesinde Z Puanlar\u0131 Nas\u0131l Hesaplan\u0131r - Statorials\" \/>\n<meta property=\"og:description\" content=\"Birka\u00e7 \u00f6rnek i\u00e7eren, TI-84 hesap makinesinde z puanlar\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131na dair basit bir a\u00e7\u0131klama.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/z-puani-ti-84-hesaplayici\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-29T00:40:47+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/zscoreti1.png\" \/>\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-puani-ti-84-hesaplayici\/\",\"url\":\"https:\/\/statorials.org\/tr\/z-puani-ti-84-hesaplayici\/\",\"name\":\"TI-84 Hesap Makinesinde Z Puanlar\u0131 Nas\u0131l Hesaplan\u0131r - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-29T00:40:47+00:00\",\"dateModified\":\"2023-07-29T00:40:47+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Birka\u00e7 \u00f6rnek i\u00e7eren, TI-84 hesap makinesinde z puanlar\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131na dair basit bir a\u00e7\u0131klama.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/z-puani-ti-84-hesaplayici\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/z-puani-ti-84-hesaplayici\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/z-puani-ti-84-hesaplayici\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Ti-84 hesap makinesinde z puanlar\u0131 nas\u0131l hesaplan\u0131r?\"}]},{\"@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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