{"id":2019,"date":"2023-07-24T01:41:51","date_gmt":"2023-07-24T01:41:51","guid":{"rendered":"https:\/\/statorials.org\/tr\/standart-sapma-neden-onemlidir\/"},"modified":"2023-07-24T01:41:51","modified_gmt":"2023-07-24T01:41:51","slug":"standart-sapma-neden-onemlidir","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/standart-sapma-neden-onemlidir\/","title":{"rendered":"Standart sapma neden \u00f6nemlidir? (a\u00e7\u0131klama + \u00f6rnekler)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Standart sapma,<\/strong> bir numunedeki de\u011ferlerin da\u011f\u0131l\u0131m\u0131n\u0131 \u00f6l\u00e7mek i\u00e7in kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Belirli bir \u00f6rne\u011fin standart sapmas\u0131n\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u221a <span style=\"border-top: 1px solid black;\">\u03a3(x <sub>i<\/sub> \u2013 x <sub>\u00e7ubuk<\/sub> ) <sup>2<\/sup> \/ (n-1)<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u03a3:<\/strong> \u201ctoplam\u201d anlam\u0131na gelen bir sembol<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>x <sub>i<\/sub> :<\/strong> \u00f6rne\u011fin <sup>i&#8217;inci<\/sup> de\u011feri<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>x <sub>\u00e7ubu\u011fu<\/sub> :<\/strong> \u00d6rnek \u015fu anlama gelir:<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> \u00d6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Standart sapma de\u011feri ne kadar y\u00fcksek olursa, de\u011ferler bir numunede o kadar da\u011f\u0131lm\u0131\u015f demektir. Tersine, standart sapma de\u011feri ne kadar d\u00fc\u015f\u00fckse de\u011ferler o kadar yak\u0131n k\u00fcmelenir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6\u011frencilerin s\u0131kl\u0131kla sordu\u011fu soru \u015fudur: <strong><em>Standart sapma neden \u00f6nemlidir?<\/em><\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Cevap: <strong>Standart sapma \u00f6nemlidir \u00e7\u00fcnk\u00fc bize verilen bir veri setindeki de\u011ferlerin da\u011f\u0131l\u0131m\u0131n\u0131 anlat\u0131r.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">bir veri k\u00fcmesini analiz etti\u011fimizde, a\u015fa\u011f\u0131daki \u00f6l\u00e7\u00fcmleri bulmak isteriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Veri k\u00fcmesinin merkezi<\/strong> . &#8220;Merkezi&#8221; \u00f6l\u00e7menin en yayg\u0131n yolu ortalama ve medyan\u0131 kullanmakt\u0131r.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Veri k\u00fcmesindeki de\u011ferlerin da\u011f\u0131l\u0131m\u0131<\/strong> . Yay\u0131l\u0131m\u0131 \u00f6l\u00e7menin en yayg\u0131n yolu standart sapmay\u0131 kullanmakt\u0131r.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Merkezin nerede oldu\u011funu ve de\u011ferlerin da\u011f\u0131l\u0131m\u0131n\u0131n ne oldu\u011funu bilerek herhangi bir veri setindeki de\u011ferlerin da\u011f\u0131l\u0131m\u0131n\u0131 iyi anlayabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnekler standart sapman\u0131n pratikteki \u00f6nemini g\u00f6stermektedir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: Maa\u015f da\u011f\u0131t\u0131m\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A \u015firketindeki ortalama maa\u015f\u0131n 80.000 ABD Dolar\u0131 ve standart sapman\u0131n 20.000 ABD Dolar\u0131 oldu\u011funu varsayal\u0131m. Standart sapma \u00e7ok b\u00fcy\u00fck oldu\u011fundan, bu \u015firkette \u00e7al\u0131\u015f\u0131rsan\u0131z y\u0131lda 80.000 dolara yak\u0131n maa\u015f alaca\u011f\u0131n\u0131z\u0131n garantisi yok \u00e7\u00fcnk\u00fc maa\u015flarda \u00e7ok de\u011fi\u015fkenlik var.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Tersine, B \u015eirketindeki ortalama maa\u015f\u0131n da 80.000 ABD Dolar\u0131 oldu\u011funu, ancak standart sapman\u0131n yaln\u0131zca 4.000 ABD Dolar\u0131 oldu\u011funu varsayal\u0131m. Bu standart sapma \u00e7ok k\u00fc\u00e7\u00fck oldu\u011fu i\u00e7in maa\u015flarda \u00e7ok az de\u011fi\u015fiklik oldu\u011fu i\u00e7in 80.000 dolara yak\u0131n maa\u015f alaca\u011f\u0131n\u0131zdan emin olabilirsiniz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu iki \u015firketteki maa\u015f da\u011f\u0131l\u0131m\u0131n\u0131 g\u00f6rselle\u015ftirmek i\u00e7in bir kutu grafi\u011fi olu\u015ftursayd\u0131k \u015f\u00f6yle g\u00f6r\u00fcnebilirdi:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-18933 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/sdimportance.png\" alt=\"\" width=\"470\" height=\"461\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">A \u015firketi i\u00e7in kutu grafi\u011finin uzunlu\u011funun, \u00fccretlerin standart sapmas\u0131 \u00e7ok daha y\u00fcksek oldu\u011fundan daha b\u00fcy\u00fck oldu\u011funa dikkat edin.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Her iki \u015firket de ayn\u0131 ortalama maa\u015fa sahip ancak A \u015firketindeki maa\u015f fark\u0131 \u00e7ok daha y\u00fcksek.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 2: Konut fiyatlar\u0131n\u0131n da\u011f\u0131l\u0131m\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A mahallesindeki ortalama konut fiyat\u0131n\u0131n 250.000$, standart sapman\u0131n ise 50.000$ oldu\u011funu varsayal\u0131m. Standart sapman\u0131n olduk\u00e7a b\u00fcy\u00fck olmas\u0131, baz\u0131 ev fiyatlar\u0131n\u0131n 250.000 dolardan \u00e7ok daha y\u00fcksek, baz\u0131lar\u0131n\u0131n ise \u00e7ok daha d\u00fc\u015f\u00fck olaca\u011f\u0131 anlam\u0131na geliyor. Bu mahalledeki herhangi bir eve bakt\u0131\u011f\u0131n\u0131zda fiyat\u0131n ortalamaya yak\u0131n olaca\u011f\u0131n\u0131n garantisi yok.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Tersine, B mahallesindeki ortalama ev fiyat\u0131n\u0131n da 250.000 $ oldu\u011funu, ancak standart sapman\u0131n yaln\u0131zca 10.000 $ oldu\u011funu varsayal\u0131m. Bu standart sapma olduk\u00e7a k\u00fc\u00e7\u00fck oldu\u011fu i\u00e7in mahallede bakt\u0131\u011f\u0131n\u0131z her evin bu fiyata yak\u0131n olaca\u011f\u0131ndan emin olabilirsiniz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu iki mahalledeki ev fiyatlar\u0131n\u0131n da\u011f\u0131l\u0131m\u0131n\u0131 g\u00f6rselle\u015ftirmek i\u00e7in bir kutu grafi\u011fi olu\u015ftursayd\u0131k \u015f\u00f6yle g\u00f6r\u00fcnebilirdi:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-18934 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/sdimportance2.png\" alt=\"\" width=\"474\" height=\"464\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">A mahallesinin parsel uzunlu\u011fu, gayrimenkul fiyatlar\u0131n\u0131n standart sapmas\u0131 \u00e7ok daha y\u00fcksek oldu\u011fundan daha b\u00fcy\u00fckt\u00fcr.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Asl\u0131nda, A mahallesi i\u00e7in konut fiyatlar\u0131 150.000 $&#8217;dan az ile 400.000 $&#8217;dan fazla aras\u0131nda de\u011fi\u015firken, B mahallesi i\u00e7in fiyatlar yaln\u0131zca 230.000 $ ile 270.000 $ aras\u0131nda de\u011fi\u015fmektedir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Her mahalledeki ev fiyatlar\u0131n\u0131n standart sapmas\u0131n\u0131 bilerek, her mahallede fiyatlarda ne kadar de\u011fi\u015fiklik beklenece\u011fini bilebiliriz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\" target=\"_blank\" rel=\"noopener\">\u0130yi bir standart sapma olarak kabul edilen \u015fey nedir?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/aralik-ve-standart-sapma\/\" target=\"_blank\" rel=\"noopener\">Menzil vs. Standart Sapma: Her Biri Ne Zaman Kullan\u0131lmal\u0131<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/standart-sapmaya-gore-degisim-katsayisi\/\" target=\"_blank\" rel=\"noopener\">Standart sapmaya kar\u015f\u0131 varyasyon katsay\u0131s\u0131: fark<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Standart sapma, bir numunedeki de\u011ferlerin da\u011f\u0131l\u0131m\u0131n\u0131 \u00f6l\u00e7mek i\u00e7in kullan\u0131l\u0131r. Belirli bir \u00f6rne\u011fin standart sapmas\u0131n\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanabiliriz: \u221a \u03a3(x i \u2013 x \u00e7ubuk ) 2 \/ (n-1) Alt\u0131n: \u03a3: \u201ctoplam\u201d anlam\u0131na gelen bir sembol x i : \u00f6rne\u011fin i&#8217;inci de\u011feri x \u00e7ubu\u011fu : \u00d6rnek \u015fu anlama gelir: n: \u00d6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc Standart sapma de\u011feri [&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-2019","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>Standart sapma neden \u00f6nemlidir? 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(a\u00e7\u0131klama + \u00f6rnekler)"}]},{"@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. Daha fazlas\u0131n\u0131 bil","sameAs":["https:\/\/statorials.org\/tr"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts\/2019","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/comments?post=2019"}],"version-history":[{"count":0,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts\/2019\/revisions"}],"wp:attachment":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/media?parent=2019"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/categories?post=2019"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/tags?post=2019"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}