Bu yaz\u0131m\u0131zda istatistikte aral\u0131\u011f\u0131n ne oldu\u011funu ve nas\u0131l hesapland\u0131\u011f\u0131n\u0131 a\u00e7\u0131kl\u0131yoruz. Bir veri k\u00fcmesinin kapsam\u0131na ili\u015fkin \u00e7\u00f6z\u00fclm\u00fc\u015f bir al\u0131\u015ft\u0131rma bulacaks\u0131n\u0131z ve son olarak bunun ne i\u00e7in oldu\u011funu ve ne zaman kullan\u0131lmas\u0131 gerekti\u011fini size g\u00f6sterece\u011fiz. <\/p>\n
\u0130statistikte aral\u0131k, bir numunenin verilerinin maksimum de\u011feri ile minimum de\u011feri aras\u0131ndaki fark\u0131 g\u00f6steren bir da\u011f\u0131l\u0131m \u00f6l\u00e7\u00fcs\u00fcd\u00fcr.<\/strong> Bu nedenle, bir pop\u00fclasyonun veya istatistiksel \u00f6rneklemin kapsam\u0131n\u0131 hesaplamak i\u00e7in maksimum de\u011ferin minimum de\u011ferden \u00e7\u0131kar\u0131lmas\u0131 gerekir.<\/p>\n
\u00d6rne\u011fin bir veri setinin maksimum de\u011feri 9, minimum de\u011feri 2 ise bu istatistiksel \u00f6rne\u011fin aral\u0131\u011f\u0131 7’dir (9-2=7).<\/p>\n
\u0130statistiksel aral\u0131\u011fa \u00f6l\u00e7\u00fcm kapsam\u0131 veya aral\u0131\u011f\u0131 da denir.<\/p>\n
Yani aral\u0131k, varyans, standart sapma (veya standart sapma), ortalama sapma ve de\u011fi\u015fim katsay\u0131s\u0131 ile birlikte bir da\u011f\u0131l\u0131m \u00f6l\u00e7\u00fcs\u00fcd\u00fcr. <\/p>\n
Bir numunenin aral\u0131\u011f\u0131, istatistiksel numune verilerinin u\u00e7 de\u011ferlerinin \u00e7\u0131kar\u0131lmas\u0131yla hesaplan\u0131r, yani bir numunenin aral\u0131\u011f\u0131, t\u00fcm verilerin maksimum de\u011feri eksi minimum de\u011fere e\u015fittir<\/strong> .<\/p>\n
Bu nedenle, bir veri k\u00fcmesinin istatistiksel aral\u0131\u011f\u0131n\u0131 hesaplama form\u00fcl\u00fc \u015f\u00f6yledir: <\/p>\n
\n<\/figure>\n<\/div>\n
\u0130statistiklerde, b\u00fcy\u00fck R sembol\u00fc genellikle bir veri serisinin kapsam\u0131n\u0131 belirtmek i\u00e7in kullan\u0131l\u0131r.<\/p>\n
Bu nedenle bir veri k\u00fcmesinin aral\u0131\u011f\u0131n\u0131 hesaplamak olduk\u00e7a basittir \u00e7\u00fcnk\u00fc yaln\u0131zca u\u00e7 de\u011ferler aras\u0131ndaki fark\u0131 belirlemeniz gerekir. Dikkat etmeniz gereken tek \u015fey maksimum ve minimum verileri do\u011fru almak ve hi\u00e7bir rakam\u0131 unutmamakt\u0131r. <\/p>\n
\u0130statistiklerde aral\u0131\u011f\u0131n tan\u0131m\u0131n\u0131 g\u00f6rd\u00fckten sonra, a\u015fa\u011f\u0131da bir veri k\u00fcmesi aral\u0131\u011f\u0131n\u0131n nas\u0131l elde edildi\u011fini g\u00f6rebilmeniz i\u00e7in \u00e7al\u0131\u015f\u0131lm\u0131\u015f bir \u00f6rnek verilmi\u015ftir.<\/p>\n
\n
Bir \u015firket, amiral gemisi \u00fcr\u00fcn\u00fcn\u00fcn son yirmi y\u0131lda elde etti\u011fi sat\u0131\u015flar\u0131 istatistiksel olarak analiz etmek istiyor. Bunu yapmak i\u00e7in sizden s\u0131ralama dahil \u00e7e\u015fitli istatistiksel \u00f6l\u00e7\u00fcmleri hesaplaman\u0131z\u0131 istiyorlar. \u00dcr\u00fcn\u00fcn sat\u0131\u015flar\u0131 a\u015fa\u011f\u0131daki tabloda g\u00f6r\u00fcld\u00fc\u011f\u00fc gibi ise bu veri setinin aral\u0131\u011f\u0131 nedir? <\/li>\n<\/ul>\n
\n<\/figure>\n<\/div>\n
Bu al\u0131\u015ft\u0131rmada 20 g\u00f6zlemimiz var. Ger\u00e7ekte, toplam g\u00f6zlem say\u0131s\u0131, bir numunenin kapsam\u0131n\u0131n hesaplanmas\u0131nda hi\u00e7bir fark yaratmaz \u00e7\u00fcnk\u00fc biz yaln\u0131zca en b\u00fcy\u00fck de\u011fer ve en k\u00fc\u00e7\u00fck de\u011ferle ilgileniriz.<\/p>\n
Bu nedenle, bu istatistiksel \u00f6rne\u011fin kapsam\u0131n\u0131 bulmak i\u00e7in yukar\u0131da g\u00f6r\u00fclen form\u00fcl\u00fc kullanmal\u0131y\u0131z.<\/p>\n<\/p>\n
<\/p>\n<\/p>\n
Aral\u0131\u011f\u0131n maksimum de\u011feri sat\u0131lan 9947 adet, minimum de\u011feri ise 1895\u2019tir. Dolay\u0131s\u0131yla veri setinin aral\u0131\u011f\u0131n\u0131 bulmak i\u00e7in bu iki de\u011feri \u00e7\u0131karmam\u0131z gerekiyor:<\/p>\n<\/p>\n
<\/p>\n<\/p>\n
Bu da son birka\u00e7 y\u0131lda sat\u0131\u015flardaki maksimum de\u011fi\u015fimin 8.052 adet oldu\u011fu anlam\u0131na geliyor. A\u015fa\u011f\u0131da t\u00fcm egzersiz verilerini istatistiksel aral\u0131klar\u0131yla birlikte grafiksel olarak g\u00f6rebilirsiniz; grafik muhtemelen aral\u0131\u011f\u0131n anlam\u0131n\u0131 anlaman\u0131za yard\u0131mc\u0131 olacakt\u0131r. <\/p>\n
\n<\/figure>\n<\/div>\n
<\/span> \u0130statistiksel aral\u0131k ne i\u00e7in kullan\u0131l\u0131r?<\/span><\/h2>\n
\u0130statistikte kapsam kavram\u0131n\u0131 anlamay\u0131 tamamlamak i\u00e7in, bunun ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131n\u0131 ve bu da\u011f\u0131l\u0131m \u00f6l\u00e7\u00fcs\u00fcn\u00fcn nas\u0131l yorumlanaca\u011f\u0131n\u0131 g\u00f6rece\u011fiz.<\/p>\n
\u0130statistiklerde aral\u0131k, bir veri k\u00fcmesinin maksimum de\u011feri ile minimum de\u011feri aras\u0131ndaki fark\u0131 g\u00f6sterir. Bu nedenle aral\u0131k, bir veri k\u00fcmesinin toplam da\u011f\u0131l\u0131m\u0131n\u0131 belirtmek i\u00e7in kullan\u0131lan bir \u00f6l\u00e7\u00fcd\u00fcr<\/strong> .<\/p>\n
Bir veri k\u00fcmesinin aral\u0131k de\u011ferini bildi\u011finizde, o k\u00fcmedeki herhangi iki g\u00f6zlem aras\u0131ndaki maksimum fark\u0131 da bilirsiniz, b\u00f6ylece verilerin da\u011f\u0131n\u0131k m\u0131 yoksa birbirine yak\u0131n m\u0131 oldu\u011fu konusunda fikir edinebilirsiniz. Genel olarak aral\u0131\u011f\u0131n m\u00fcmk\u00fcn oldu\u011fu kadar az olmas\u0131 avantajl\u0131d\u0131r \u00e7\u00fcnk\u00fc bu, \u00e7ok az da\u011f\u0131l\u0131m oldu\u011fu ve dolay\u0131s\u0131yla hesaplamalar\u0131n daha do\u011fru olaca\u011f\u0131 anlam\u0131na gelir.<\/p>\n
\u00d6rne\u011fin aral\u0131k, iki farkl\u0131 \u00f6rnek aras\u0131nda kar\u015f\u0131la\u015ft\u0131rma yap\u0131lmas\u0131na olanak sa\u011flayan bir \u00f6l\u00e7\u00fcm olabilir \u00e7\u00fcnk\u00fc \u00f6rneklerin da\u011f\u0131l\u0131mlar\u0131 hakk\u0131nda fikir edinmenizi sa\u011flar.<\/p>\n
Ancak istatistiksel aral\u0131\u011f\u0131n yorumlanmas\u0131nda yan\u0131lt\u0131c\u0131 olabilece\u011finden dikkatli olunmal\u0131d\u0131r. Bir veri k\u00fcmesinin asl\u0131nda \u00e7ok d\u00fc\u015f\u00fck bir da\u011f\u0131l\u0131m\u0131 olabilir, ancak \u00f6rnek i\u00e7inde bir ayk\u0131r\u0131 de\u011fer<\/em> varsa, aral\u0131k \u00e7ok geni\u015f olacak ve bu nedenle \u00f6rne\u011fin da\u011f\u0131l\u0131m\u0131n\u0131 do\u011fru \u015fekilde yans\u0131tmayacakt\u0131r.<\/p>\n
Ayr\u0131ca de\u011ferleri onluk mertebesinde olan bir numunenin s\u0131ralamas\u0131n\u0131n 5 olmas\u0131 ile de\u011ferleri binlik mertebesinde olan bir numunenin ayn\u0131 s\u0131ralamaya sahip olmas\u0131 ayn\u0131 de\u011fildir. Mant\u0131ksal olarak her iki aral\u0131k ayn\u0131 say\u0131ya sahip olsa bile ilk \u00f6rnek ikinciye g\u00f6re \u00e7ok daha fazla da\u011f\u0131lm\u0131\u015ft\u0131r.<\/p>\n
Sonu\u00e7 olarak aral\u0131k, bir veri k\u00fcmesinin da\u011f\u0131l\u0131m\u0131n\u0131 analiz etmek i\u00e7in yararl\u0131 bir istatistiksel \u00f6l\u00e7\u00fcd\u00fcr, ancak verileri do\u011fru \u015fekilde yorumlamak i\u00e7in di\u011fer \u00f6l\u00e7\u00fcmlerin de hesaplanmas\u0131 gerekir.<\/p>\n","protected":false},"excerpt":{"rendered":"
Bu yaz\u0131m\u0131zda istatistikte aral\u0131\u011f\u0131n ne oldu\u011funu ve nas\u0131l hesapland\u0131\u011f\u0131n\u0131 a\u00e7\u0131kl\u0131yoruz. Bir veri k\u00fcmesinin kapsam\u0131na ili\u015fkin \u00e7\u00f6z\u00fclm\u00fc\u015f bir al\u0131\u015ft\u0131rma bulacaks\u0131n\u0131z ve son olarak bunun ne i\u00e7in oldu\u011funu ve ne zaman kullan\u0131lmas\u0131 gerekti\u011fini size g\u00f6sterece\u011fiz. \u0130statistikte aral\u0131k nedir? \u0130statistikte aral\u0131k, bir numunenin verilerinin maksimum de\u011feri ile minimum de\u011feri aras\u0131ndaki fark\u0131 g\u00f6steren bir da\u011f\u0131l\u0131m \u00f6l\u00e7\u00fcs\u00fcd\u00fcr. Bu nedenle, bir […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[14],"tags":[],"class_list":["post-67","post","type-post","status-publish","format-standard","hentry","category-istatistik"],"yoast_head":"\n
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Bir numunenin s\u0131ralamas\u0131n\u0131 hesaplaman\u0131n somut bir \u00f6rne\u011fiyle.","og_url":"https:\/\/statorials.org\/tr\/istatistiksel-aralik\/","og_site_name":"Statorials","article_published_time":"2023-08-05T20:39:59+00:00","og_image":[{"url":"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/statistique-de-classement.png"}],"author":"Dr.benjamin anderson","twitter_card":"summary_large_image","twitter_misc":{"Yazan:":"Dr.benjamin anderson","Tahmini okuma s\u00fcresi":"4 dakika"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/statorials.org\/tr\/istatistiksel-aralik\/","url":"https:\/\/statorials.org\/tr\/istatistiksel-aralik\/","name":"\u25b7S\u0131ra (istatistik): tan\u0131m, form\u00fcl ve \u00f6rnek","isPartOf":{"@id":"https:\/\/statorials.org\/tr\/#website"},"datePublished":"2023-08-05T20:39:59+00:00","dateModified":"2023-08-05T20:39:59+00:00","author":{"@id":"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48"},"description":"\u0130statistiklerde aral\u0131\u011f\u0131n ne oldu\u011funu ve nas\u0131l hesapland\u0131\u011f\u0131n\u0131 (form\u00fcl) a\u00e7\u0131kl\u0131yoruz. 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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\/67","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=67"}],"version-history":[{"count":0,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts\/67\/revisions"}],"wp:attachment":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/media?parent=67"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/categories?post=67"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/tags?post=67"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
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