{"id":1513,"date":"2023-07-26T02:11:43","date_gmt":"2023-07-26T02:11:43","guid":{"rendered":"https:\/\/statorials.org\/tr\/varyans-negatif-olabilir\/"},"modified":"2023-07-26T02:11:43","modified_gmt":"2023-07-26T02:11:43","slug":"varyans-negatif-olabilir","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/varyans-negatif-olabilir\/","title":{"rendered":"Varyans negatif olabilir mi?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0130statistiklerde <strong>varyans<\/strong> terimi, de\u011ferlerin belirli bir veri k\u00fcmesinde nas\u0131l da\u011f\u0131t\u0131ld\u0131\u011f\u0131n\u0131 ifade eder.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6\u011frencilerin varyansla ilgili sorduklar\u0131 ortak soru \u015fudur:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em>Varyans negatif olabilir mi?<\/em><\/span><\/p>\n<p> <span style=\"color: #000000;\">Cevap: <strong>Hay\u0131r, varyans negatif olamaz.<\/strong> Alabilece\u011fi en d\u00fc\u015f\u00fck de\u011fer s\u0131f\u0131rd\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Durumun neden b\u00f6yle oldu\u011funu anlamak i\u00e7in varyans\u0131n ger\u00e7ekte nas\u0131l hesapland\u0131\u011f\u0131n\u0131 anlamam\u0131z gerekir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Bo\u015fluk nas\u0131l hesaplan\u0131r<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir numunenin varyans\u0131n\u0131 bulma form\u00fcl\u00fc ( <strong><sup>s2<\/sup><\/strong> ile g\u00f6sterilir):<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>s <sup>2<\/sup><\/strong> = \u03a3 (x <sub>ben<\/sub> \u2013 <span style=\"text-decoration: overline;\">x<\/span> ) <sup>2<\/sup> \/ (n-1)<\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong><span style=\"text-decoration: overline;\">x<\/span><\/strong> : \u00d6rnek \u015fu anlama gelir:<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>x <sub>i<\/sub><\/strong> : \u00d6rneklemdeki <sup>i&#8217;inci<\/sup> g\u00f6zlem<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>N<\/strong> : \u00d6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u03a3<\/strong> : \u201ctoplam\u201d anlam\u0131na gelen Yunanca bir sembol<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, 10 de\u011fere sahip a\u015fa\u011f\u0131daki veri k\u00fcmesine sahip oldu\u011fumuzu varsayal\u0131m:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-15008 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/varparmain1.png\" alt=\"\" width=\"77\" height=\"276\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu \u00f6rne\u011fin varyans\u0131n\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki ad\u0131mlar\u0131 kullanabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. Ad\u0131m: Ortalamay\u0131 Bulun<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Ortalama sadece ortalamad\u0131r. Bu <strong>14,7<\/strong> olarak ortaya \u00e7\u0131k\u0131yor.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: Karesel sapmalar\u0131 bulun<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra her bir de\u011ferin ortalamadan kare sapmas\u0131n\u0131 hesaplayabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin birinci kare sapma (6-14,7) <sup>2<\/sup> = 75,69 olarak hesaplan\u0131r.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-15009 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/varparmain2.png\" alt=\"\" width=\"156\" height=\"290\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 3: Karesel sapmalar\u0131n toplam\u0131n\u0131 bulun<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">O zaman sapmalar\u0131n t\u00fcm karelerini toplayabiliriz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-15010 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/varparmain3.png\" alt=\"\" width=\"155\" height=\"320\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 4: \u00d6rnek varyans\u0131n\u0131 hesaplay\u0131n<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Son olarak \u00f6rnek varyans\u0131n\u0131, sapmalar\u0131n karelerinin toplam\u0131n\u0131n (n-1)&#8217;e b\u00f6l\u00fcnmesiyle hesaplayabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><sup>s2<\/sup> = 330,1 \/ (10-1) = 330,1 \/ 9 = 36,678<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rneklem varyans\u0131 <strong>36.678<\/strong> olarak ortaya \u00e7\u0131k\u0131yor.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>S\u0131f\u0131r varyansa bir \u00f6rnek<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir veri k\u00fcmesinin s\u0131f\u0131r varyansa sahip olmas\u0131n\u0131n tek yolu <strong>, veri k\u00fcmesindeki t\u00fcm de\u011ferlerin ayn\u0131 olmas\u0131d\u0131r<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, a\u015fa\u011f\u0131daki veri k\u00fcmesinin \u00f6rnek varyans\u0131 s\u0131f\u0131rd\u0131r:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-15011\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/varparmain4.png\" alt=\"S\u0131f\u0131r varyansa sahip bir veri k\u00fcmesi \u00f6rne\u011fi\" width=\"85\" height=\"300\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Veri setinin ortalamas\u0131 15&#8217;tir ve bireysel de\u011ferlerin hi\u00e7biri ortalamadan sapmamaktad\u0131r. B\u00f6ylece sapmalar\u0131n karelerinin toplam\u0131 s\u0131f\u0131r olacak ve \u00f6rneklem varyans\u0131 da s\u0131f\u0131r olacakt\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Standart sapma negatif olabilir mi?<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir veri k\u00fcmesindeki de\u011ferlerin da\u011f\u0131l\u0131m\u0131n\u0131 \u00f6l\u00e7menin daha yayg\u0131n bir yolu, basit\u00e7e varyans\u0131n karek\u00f6k\u00fc olan standart sapmay\u0131 kullanmakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, belirli bir \u00f6rne\u011fin varyans\u0131 <sup>s2<\/sup> = <strong>36,678<\/strong> ise standart sapma (yaz\u0131l\u0131 <em>s<\/em> ) \u015fu \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\">s = \u221a <span style=\"border-top: 1px solid black;\"><sup>s2<\/sup><\/span> = \u221a <span style=\"border-top: 1px solid black;\">36,678<\/span> = <strong>6,056<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Varyans\u0131n her zaman s\u0131f\u0131r veya pozitif bir say\u0131 oldu\u011funu zaten bildi\u011fimiz i\u00e7in bu, s\u0131f\u0131r\u0131n karek\u00f6k\u00fc veya pozitif bir say\u0131 <strong>negatif olamayaca\u011f\u0131ndan standart sapman\u0131n asla negatif olamayaca\u011f\u0131<\/strong> anlam\u0131na gelir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/merkezi-egilimi-olcer\/\" target=\"_blank\" rel=\"noopener\">Merkezi e\u011filim \u00f6l\u00e7\u00fcleri: tan\u0131m ve \u00f6rnekler<\/a><br \/> Da\u011f\u0131l\u0131m \u00f6l\u00e7\u00fcleri: tan\u0131m ve \u00f6rnekler<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130statistiklerde varyans terimi, de\u011ferlerin belirli bir veri k\u00fcmesinde nas\u0131l da\u011f\u0131t\u0131ld\u0131\u011f\u0131n\u0131 ifade eder. \u00d6\u011frencilerin varyansla ilgili sorduklar\u0131 ortak soru \u015fudur: Varyans negatif olabilir mi? Cevap: Hay\u0131r, varyans negatif olamaz. Alabilece\u011fi en d\u00fc\u015f\u00fck de\u011fer s\u0131f\u0131rd\u0131r. Durumun neden b\u00f6yle oldu\u011funu anlamak i\u00e7in varyans\u0131n ger\u00e7ekte nas\u0131l hesapland\u0131\u011f\u0131n\u0131 anlamam\u0131z gerekir. Bo\u015fluk nas\u0131l hesaplan\u0131r Bir numunenin varyans\u0131n\u0131 bulma form\u00fcl\u00fc ( s2 [&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-1513","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>Varyans negatif olabilir mi? - Statoryaller<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, istatistiklerde varyans\u0131n negatif olup olamayaca\u011f\u0131na dair h\u0131zl\u0131 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\/varyans-negatif-olabilir\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Varyans negatif olabilir mi? - Statoryaller\" \/>\n<meta property=\"og:description\" content=\"Bu e\u011fitimde, istatistiklerde varyans\u0131n negatif olup olamayaca\u011f\u0131na dair h\u0131zl\u0131 bir a\u00e7\u0131klama sa\u011flanmaktad\u0131r.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/varyans-negatif-olabilir\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-26T02:11:43+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/varparmain1.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=\"2 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/varyans-negatif-olabilir\/\",\"url\":\"https:\/\/statorials.org\/tr\/varyans-negatif-olabilir\/\",\"name\":\"Varyans negatif olabilir mi? - Statoryaller\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-26T02:11:43+00:00\",\"dateModified\":\"2023-07-26T02:11:43+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu e\u011fitimde, istatistiklerde varyans\u0131n negatif olup olamayaca\u011f\u0131na dair h\u0131zl\u0131 bir a\u00e7\u0131klama sa\u011flanmaktad\u0131r.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/varyans-negatif-olabilir\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/varyans-negatif-olabilir\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/varyans-negatif-olabilir\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Varyans negatif olabilir mi?\"}]},{\"@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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