{"id":224,"date":"2023-08-04T00:09:06","date_gmt":"2023-08-04T00:09:06","guid":{"rendered":"https:\/\/statorials.org\/id\/distribusi-standar-normal\/"},"modified":"2023-08-04T00:09:06","modified_gmt":"2023-08-04T00:09:06","slug":"distribusi-standar-normal","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/distribusi-standar-normal\/","title":{"rendered":"Distribusi normal standar"},"content":{"rendered":"<p>Artikel ini menjelaskan apa itu distribusi normal standar dan kegunaannya. Anda juga akan menemukan properti distribusi normal standar, tabel dengan nilai karakteristiknya, dan, sebagai tambahan, latihan yang diselesaikan. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-distribucion-normal-estandar\"><\/span> Berapakah distribusi normal standarnya?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Distribusi normal standar<\/strong> , juga disebut <strong>distribusi normal satuan<\/strong> , adalah kasus distribusi normal yang paling sederhana. Lebih tepatnya distribusi normal baku adalah distribusi normal dengan nilai mean dan deviasi standar masing-masing sama dengan 0 dan 1.<\/p>\n<p> Oleh karena itu, distribusi normal baku didefinisikan sebagai N(0,1), dengan parameter pertama adalah mean distribusi dan parameter kedua adalah simpangan baku (atau SD).<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3ca26cb58ac445099df12aeebda27e38_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle N(0,1) \\ \\color{orange}\\bm{\\longrightarrow}\\color{black}\\begin{cases} \\mu=0\\\\[2ex]\\sigma=1\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"247\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Oleh karena itu, grafik distribusi normal standarnya adalah sebagai berikut: <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/graphique-de-distribution-normale-standard.png\" alt=\"grafik distribusi normal standar\" class=\"wp-image-4442\" width=\"601\" height=\"361\" srcset=\"\" sizes=\"\"><\/figure>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-distribucion-normal-estandar\"><\/span> Rumus distribusi normal standar<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Untuk mengubah distribusi normal menjadi distribusi normal standar, Anda harus mengurangi rata-rata distribusi normal dari semua nilainya dan kemudian membaginya dengan simpangan baku dari distribusi normal tersebut.<\/p>\n<p> Oleh karena itu, <strong>rumus distribusi normal standar<\/strong> adalah sebagai berikut: <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/formule-pour-la-distribution-normale-standard.png\" alt=\"rumus distribusi normal standar\" class=\"wp-image-4447\" width=\"328\" height=\"293\" srcset=\"\" sizes=\"\"><\/figure>\n<p> Dengan cara ini mean aritmatika dan simpangan baku variabel baru masing-masing akan menjadi 0 dan 1, sehingga diperoleh distribusi normal baku. Proses ini disebut juga <strong>normalisasi univariat<\/strong> atau <strong>normalisasi univariat<\/strong> . <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"tabla-de-la-distribucion-normal-estandar\"><\/span> Tabel distribusi normal standar<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Tabel distribusi normal baku adalah tabel yang berisi probabilitas suatu nilai yang diamati lebih kecil dari nilai tertentu dari distribusi normal baku.<\/p>\n<p> Selain itu, karena fungsi distribusi normal bergantung pada mean dan deviasi standarnya, tabel distribusi normal standar juga digunakan untuk menentukan probabilitas distribusi normal. Untuk melakukan ini, distribusi normal diketik ke dalam distribusi normal standar dan kemudian kita melihat di tabel berapa probabilitas yang sesuai dengannya.<\/p>\n<p> Jadi, nilai pada tabel distribusi normal standar adalah sebagai berikut: <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/table-de-distribution-normale-probabilite-cumulative-inferieure.emf_.png\" alt=\"tabel distribusi normal standar\" class=\"wp-image-2892\" width=\"655\" height=\"866\" srcset=\"\" sizes=\"\"><\/figure>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-la-distribucion-normal-estandar\"><\/span> Contoh Distribusi Normal Standar<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Setelah kita mengetahui pengertian distribusi normal baku dan apa rumusnya, berikut adalah contoh konkritnya untuk memahami konsep tersebut dengan baik.<\/p>\n<ul>\n<li> Suatu variabel acak kontinu mengikuti distribusi normal dengan mean 45 dan standar deviasi 15, berapakah peluang memperoleh nilai kurang dari atau sama dengan 58?<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-c1914d7535b3ca4b73d1fc39d0620bce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"N(45,15)\\ \\color{orange}\\bm{\\longrightarrow}\\color{black}\\ P[X\\leq 58]= \\ \\color{orange}\\bm{?}\\color{black} \" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"421\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Untuk mencari peluang berdistribusi normal kita perlu menggunakan tabel fiturnya, namun untuk itu kita perlu melakukan proses pengetikan terlebih dahulu untuk mendapatkan standar berdistribusi normal. Oleh karena itu kami menggunakan rumus distribusi normal standar:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-495b5c96898d0da9f1849fc0ac42da40_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z=\\cfrac{X-\\mu}{\\sigma}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"87\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Jadi kita kurangi mean dari nilai probabilitas lalu bagi dengan standar deviasi<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-7c8c62115ea72f4d9471dee405859016_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P[X\\leq 58]=P\\left[Z\\leq\\frac{58-45}{15}\\right]=P[Z\\leq 0,87]\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"355\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> Setelah kita membakukan variabelnya, kita pergi ke tabel probabilitas distribusi normal standar (lihat di atas) untuk melihat probabilitas apa yang sesuai dengan nilai 0,87:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-96a9899f1286e9a38beb405c301a8520_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P[Z\\leq 0,87]=0,8078\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"172\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Oleh karena itu, probabilitas memperoleh nilai yang sama dengan atau kurang dari 58 adalah 80,78%. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"caracteristicas-de-la-distribucion-normal-estandar\"><\/span> Ciri-ciri distribusi normal standar<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Distribusi normal standar mempunyai ciri-ciri sebagai berikut:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\">Distribusi normal baku adalah distribusi simetris yang berpusat pada 0.<\/span><\/li>\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\">Seperti distribusi normal, grafik distribusi normal standar berbentuk lonceng, dengan sebagian besar area grafik berada di sekitar mean.<\/span><\/li>\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\">Oleh karena itu, mean, modus, dan median suatu distribusi normal mempunyai nilai yang sama, yaitu 0.<\/span><\/li>\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\">Distribusi normal standar memiliki maksimum pada z=0.<\/span><\/li>\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\">Demikian pula, distribusi normal standar memiliki dua titik belok, di z=-1 dan z=+1.<\/span><\/li>\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\">Berdasarkan aturan praktisnya, kita mengetahui bahwa 68% nilai berada dalam distribusi normal standar antara +1 dan -1, 95% nilai antara +2 dan -2, dan 99,7% nilai antara + 3 dan &#8211; 3.<\/span><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Artikel ini menjelaskan apa itu distribusi normal standar dan kegunaannya. Anda juga akan menemukan properti distribusi normal standar, tabel dengan nilai karakteristiknya, dan, sebagai tambahan, latihan yang diselesaikan. Berapakah distribusi normal standarnya? Distribusi normal standar , juga disebut distribusi normal satuan , adalah kasus distribusi normal yang paling sederhana. Lebih tepatnya distribusi normal baku adalah [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Distribusi normal standar<\/title>\n<meta name=\"description\" content=\"Di sini Anda akan mengetahui apa itu distribusi normal baku, rumusnya, ciri-ciri distribusi normal baku dan contoh konkritnya.\" \/>\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\/id\/distribusi-standar-normal\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 Distribusi normal standar\" \/>\n<meta property=\"og:description\" content=\"Di sini Anda akan mengetahui apa itu distribusi normal baku, rumusnya, ciri-ciri distribusi normal baku dan contoh konkritnya.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/distribusi-standar-normal\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-04T00:09:06+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3ca26cb58ac445099df12aeebda27e38_l3.png\" \/>\n<meta name=\"author\" content=\"Benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Ditulis oleh\" \/>\n\t<meta name=\"twitter:data1\" content=\"Benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Estimasi waktu membaca\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/id\/distribusi-standar-normal\/\",\"url\":\"https:\/\/statorials.org\/id\/distribusi-standar-normal\/\",\"name\":\"\u25b7 Distribusi normal standar\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-08-04T00:09:06+00:00\",\"dateModified\":\"2023-08-04T00:09:06+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Di sini Anda akan mengetahui apa itu distribusi normal baku, rumusnya, ciri-ciri distribusi normal baku dan contoh konkritnya.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/distribusi-standar-normal\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/distribusi-standar-normal\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/distribusi-standar-normal\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Distribusi normal standar\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/id\/#website\",\"url\":\"https:\/\/statorials.org\/id\/\",\"name\":\"Statorials\",\"description\":\"Panduan anda untuk kompetensi statistik!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/id\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"id\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\",\"name\":\"Benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"id\",\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/image\/\",\"url\":\"http:\/\/statorials.org\/id\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"http:\/\/statorials.org\/id\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Benjamin anderson\"},\"description\":\"Halo, saya Benjamin, pensiunan profesor statistika yang menjadi guru Statorial yang berdedikasi. Dengan pengalaman dan keahlian yang luas di bidang statistika, saya ingin berbagi ilmu untuk memberdayakan mahasiswa melalui Statorials. Baca selengkapnya\",\"sameAs\":[\"http:\/\/statorials.org\/id\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u25b7 Distribusi normal standar","description":"Di sini Anda akan mengetahui apa itu distribusi normal baku, rumusnya, ciri-ciri distribusi normal baku dan contoh konkritnya.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/statorials.org\/id\/distribusi-standar-normal\/","og_locale":"id_ID","og_type":"article","og_title":"\u25b7 Distribusi normal standar","og_description":"Di sini Anda akan mengetahui apa itu distribusi normal baku, rumusnya, ciri-ciri distribusi normal baku dan contoh konkritnya.","og_url":"https:\/\/statorials.org\/id\/distribusi-standar-normal\/","og_site_name":"Statorials","article_published_time":"2023-08-04T00:09:06+00:00","og_image":[{"url":"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3ca26cb58ac445099df12aeebda27e38_l3.png"}],"author":"Benjamin anderson","twitter_card":"summary_large_image","twitter_misc":{"Ditulis oleh":"Benjamin anderson","Estimasi waktu membaca":"2 menit"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/statorials.org\/id\/distribusi-standar-normal\/","url":"https:\/\/statorials.org\/id\/distribusi-standar-normal\/","name":"\u25b7 Distribusi normal standar","isPartOf":{"@id":"https:\/\/statorials.org\/id\/#website"},"datePublished":"2023-08-04T00:09:06+00:00","dateModified":"2023-08-04T00:09:06+00:00","author":{"@id":"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81"},"description":"Di sini Anda akan mengetahui apa itu distribusi normal baku, rumusnya, ciri-ciri distribusi normal baku dan contoh konkritnya.","breadcrumb":{"@id":"https:\/\/statorials.org\/id\/distribusi-standar-normal\/#breadcrumb"},"inLanguage":"id","potentialAction":[{"@type":"ReadAction","target":["https:\/\/statorials.org\/id\/distribusi-standar-normal\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/statorials.org\/id\/distribusi-standar-normal\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/statorials.org\/id\/"},{"@type":"ListItem","position":2,"name":"Distribusi normal standar"}]},{"@type":"WebSite","@id":"https:\/\/statorials.org\/id\/#website","url":"https:\/\/statorials.org\/id\/","name":"Statorials","description":"Panduan anda untuk kompetensi statistik!","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/statorials.org\/id\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"id"},{"@type":"Person","@id":"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81","name":"Benjamin anderson","image":{"@type":"ImageObject","inLanguage":"id","@id":"https:\/\/statorials.org\/id\/#\/schema\/person\/image\/","url":"http:\/\/statorials.org\/id\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg","contentUrl":"http:\/\/statorials.org\/id\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg","caption":"Benjamin anderson"},"description":"Halo, saya Benjamin, pensiunan profesor statistika yang menjadi guru Statorial yang berdedikasi. Dengan pengalaman dan keahlian yang luas di bidang statistika, saya ingin berbagi ilmu untuk memberdayakan mahasiswa melalui Statorials. Baca selengkapnya","sameAs":["http:\/\/statorials.org\/id"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/posts\/224"}],"collection":[{"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/comments?post=224"}],"version-history":[{"count":0,"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/posts\/224\/revisions"}],"wp:attachment":[{"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/media?parent=224"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/categories?post=224"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/tags?post=224"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}