{"id":122,"date":"2023-08-05T05:58:55","date_gmt":"2023-08-05T05:58:55","guid":{"rendered":"https:\/\/statorials.org\/id\/aturan-sturges-1\/"},"modified":"2023-08-05T05:58:55","modified_gmt":"2023-08-05T05:58:55","slug":"aturan-sturges-1","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/aturan-sturges-1\/","title":{"rendered":"Aturan sturges"},"content":{"rendered":"<p>Artikel ini menjelaskan apa itu aturan Sturges dan rumusnya. Anda juga akan menemukan contoh nyata aturan Sturges langkah demi langkah dan, sebagai tambahan, kalkulator aturan Sturges online. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcual-es-la-regla-de-sturges\"><\/span> Apa aturan Sturges?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Aturan Sturges<\/strong> adalah aturan yang digunakan untuk menghitung jumlah kelas atau interval ideal yang harus dibagi dalam kumpulan data.<\/p>\n<p> <strong>Rumus aturan Sturges<\/strong> menyatakan bahwa jumlah kelas sama dengan satu ditambah logaritma basis dua dari jumlah total data.<\/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-698dc950acb10ce0e5c969138924f8e8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c=1+\\log_2(N)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"121\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Emas<\/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-276a76eafbebc4494deafceec7cc4ddd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah jumlah kelas atau interval dan<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-7354bae77b50b7d1faed3e8ea7a3511a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"N\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah jumlah total pengamatan dalam sampel. <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2px dashed #FFB74D; border-radius:20px;\">\n<p style=\"text-align:left\"> Kebanyakan kalkulator hanya mengizinkan penghitungan dengan logaritma basis 10. Dalam hal ini, Anda dapat menggunakan rumus yang setara ini:<\/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-e603cacb4a44525f80831af2616a1bbf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c=1+\\cfrac{\\log(N)}{\\log(2)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"120\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<\/div>\n<p> Aturan Sturges dibuat pada tahun 1926 oleh ahli statistik Jerman Herbert Sturges. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-la-regla-de-sturges\"><\/span> Contoh Aturan Sturges<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Sekarang setelah kita mengetahui apa itu aturan Sturges, kita akan melihat dengan menyelesaikan latihan langkah demi langkah bagaimana interval kumpulan data dihitung menggunakan aturan Sturges dalam statistik.<\/p>\n<ul>\n<li> Ukuran sampel 50 orang berbeda diukur dan semua nilai dicatat dalam tabel data berikut. Terapkan aturan Sturges untuk membagi kumpulan data menjadi beberapa interval, lalu plot data pada histogram. <\/li>\n<\/ul>\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-donnees-exemple-hauteurs-50.png\" alt=\"\" class=\"wp-image-2658\" width=\"278\" height=\"308\" srcset=\"\" sizes=\"\"><\/figure>\n<p> Pertama, kita perlu memisahkan data menjadi beberapa interval. Total ada 50 elemen data, jadi kami menggunakan aturan Sturges dengan nilai ini:<\/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-9929b0c8f1f7cdf5a6160c07e0205c46_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}c=1+\\log_2(N)\\\\[2ex]c=1+\\log_2(50)\\\\[2ex]c=1+5,64\\\\[2ex]c=6,64\\\\[2ex]c\\approx 7\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"163\" width=\"123\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Oleh karena itu perlu dilakukan pemisahan data dan mengelompokkannya ke dalam tujuh interval. Sekarang kita perlu mengetahui lebar setiap interval, untuk melakukannya, cukup bagi nilai maksimum dikurangi nilai minimum dengan jumlah total interval:<\/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-d2262a449f1f5c4b97b56a42634f5c96_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a=\\cfrac{\\text{valor m\\'aximo}-\\text{valor m\\'inimo}}{c}=\\cfrac{205-145}{7}=8,57\\approx 9\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"455\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Singkatnya harus ada 7 interval dengan amplitudo 9, sehingga interval yang dihitung dengan metode Sturges adalah: <\/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-99799593eebc0e84d41d373a87702a19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"[145,154)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"70\" style=\"vertical-align: -5px;\"><\/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-0462d79f704bce614d9809cae68048d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"[154,163)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"70\" style=\"vertical-align: -5px;\"><\/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-5f641927f9e99b65d4110400e0b179ef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"[163,172)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"70\" style=\"vertical-align: -5px;\"><\/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-c72d71a970f7f0015b23148d661df394_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"[172,181)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"70\" style=\"vertical-align: -5px;\"><\/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-9220265d8613852762ac5390aa753bce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"[181,190)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"70\" style=\"vertical-align: -5px;\"><\/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-3a009436f79f59d54aff2e6eec655a8c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"[190,199)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"70\" style=\"vertical-align: -5px;\"><\/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-7c6484fb09d31cd972ce7e82c58d7832_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"[199,208)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"70\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Setelah kita menghitung intervalnya, kita perlu menghitung berapa kali suatu data muncul di setiap interval dan membuat tabel frekuensinya: <\/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\/regle-de-sturges-tableau-de-frequences.png\" alt=\"\" class=\"wp-image-2664\" width=\"196\" height=\"271\" srcset=\"\" sizes=\"\"><\/figure>\n<p> Terakhir, dari tabel frekuensi, kita dapat membuat histogram untuk membuat grafik data: <\/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\/histogramme-regle-sturges.png\" alt=\"Histogram aturan Sturges, statistik\" class=\"wp-image-2665\" width=\"512\" height=\"330\" srcset=\"\" sizes=\"\"><\/figure>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Lihat:<\/strong> <a href=\"https:\/\/statorials.org\/id\/histogram\/\">cara membuat histogram<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"calculadora-de-la-regla-de-sturges\"><\/span> Kalkulator Aturan Sturges<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Masukkan jumlah total sampel data dan klik &#8220;Hitung&#8221;, maka kalkulator akan mengembalikan jumlah interval yang dihitung menurut aturan Sturges.<\/p>\n<form action=\"\" method=\"post\">\n<ul style=\"color:#1C2C92;\">\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">Jumlah data = <input name=\"datos\" style=\"border:1.5px solid #1C2C92; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width:60px\" placeholder=\"50\" required=\"\" oninvalid=\"this.setCustomValidity('Introduce el n\u00famero total de datos aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/span> <\/li>\n<\/ul>\n<div style=\"text-align:center\"><input align=\"center\" style=\"font-size:105%; border-radius:30px; margin: 20px\" type=\"submit\" name=\"submit\" value=\"Menghitung\"><\/div>\n<\/form>\n","protected":false},"excerpt":{"rendered":"<p>Artikel ini menjelaskan apa itu aturan Sturges dan rumusnya. Anda juga akan menemukan contoh nyata aturan Sturges langkah demi langkah dan, sebagai tambahan, kalkulator aturan Sturges online. Apa aturan Sturges? Aturan Sturges adalah aturan yang digunakan untuk menghitung jumlah kelas atau interval ideal yang harus dibagi dalam kumpulan data. Rumus aturan Sturges menyatakan bahwa jumlah [&hellip;]<\/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":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Aturan Sturges: rumus, contoh dan kalkulator<\/title>\n<meta name=\"description\" content=\"Di sini Anda akan menemukan apa itu aturan Sturges, apa rumusnya, contoh konkretnya, dan juga kalkulator aturan Sturges.\" \/>\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\/aturan-sturges-1\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 Aturan Sturges: rumus, contoh dan kalkulator\" \/>\n<meta property=\"og:description\" content=\"Di sini Anda akan menemukan apa itu aturan Sturges, apa rumusnya, contoh konkretnya, dan juga kalkulator aturan Sturges.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/aturan-sturges-1\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-05T05:58:55+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-698dc950acb10ce0e5c969138924f8e8_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=\"1 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/id\/aturan-sturges-1\/\",\"url\":\"https:\/\/statorials.org\/id\/aturan-sturges-1\/\",\"name\":\"\u25b7 Aturan Sturges: rumus, contoh dan kalkulator\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-08-05T05:58:55+00:00\",\"dateModified\":\"2023-08-05T05:58:55+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Di sini Anda akan menemukan apa itu aturan Sturges, apa rumusnya, contoh konkretnya, dan juga kalkulator aturan Sturges.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/aturan-sturges-1\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/aturan-sturges-1\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/aturan-sturges-1\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Aturan sturges\"}]},{\"@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. 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