{"id":140,"date":"2023-08-05T01:17:41","date_gmt":"2023-08-05T01:17:41","guid":{"rendered":"https:\/\/statorials.org\/id\/koefisien-perataan\/"},"modified":"2023-08-05T01:17:41","modified_gmt":"2023-08-05T01:17:41","slug":"koefisien-perataan","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/koefisien-perataan\/","title":{"rendered":"Koefisien perataan"},"content":{"rendered":"<p>Artikel ini menjelaskan apa itu koefisien kurtosis dan cara menghitung koefisien kurtosis. Anda akan menemukan rumus koefisien kurtosis, bagaimana hasilnya diinterpretasikan dan, sebagai tambahan, Anda akan dapat menghitung koefisien kurtosis dari setiap sampel data dengan kalkulator online. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-el-coeficiente-de-curtosis\"><\/span> Berapa koefisien kurtosisnya?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Koefisien kurtosis<\/strong> adalah koefisien yang memungkinkan Anda menentukan kurtosis suatu distribusi. Dengan kata lain, koefisien kurtosis digunakan untuk mengetahui apakah suatu distribusi termasuk leptokurtik, platikurtik, atau mesokurtik.<\/p>\n<p> Kurtosis adalah karakteristik suatu distribusi yang menunjukkan derajat konsentrasinya di sekitar mean, sehingga menghitung koefisien kurtosis membantu mengukur kurtosis suatu distribusi. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-del-coeficiente-de-curtosis\"><\/span> Rumus Koefisien Kurtosis<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Untuk menghitung koefisien kurtosis, pertama-tama Anda harus menjumlahkan semua selisih antara data dan mean yang dipangkatkan empat, lalu membaginya dengan jumlah total data dan deviasi standar yang dipangkatkan empat, dan terakhir dikurangi tiga. .<\/p>\n<p> Dengan kata lain <strong>rumus koefisien kurtosis<\/strong> adalah sebagai berikut:<\/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-90817c2e65eaadd93ca788fd87067144_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle g_2=\\frac{1}{N}\\cdot\\frac{\\displaystyle \\sum_{i=1}^N(x_i-\\mu)^4}{\\sigma^4}-3\" title=\"Rendered by QuickLaTeX.com\" height=\"73\" width=\"202\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Rumus koefisien kurtosis untuk <strong>data yang dikelompokkan dalam tabel frekuensi<\/strong> :<\/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-d7d2fd2426582c6ec35fab553a2922be_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle g_2=\\frac{1}{N}\\cdot\\frac{\\displaystyle \\sum_{i=1}^N f_i\\cdot(x_i-\\mu)^4}{\\sigma^4}-3\" title=\"Rendered by QuickLaTeX.com\" height=\"73\" width=\"232\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Terakhir, rumus koefisien kurtosis untuk <strong>data berkelompok<\/strong> :<\/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-46118fdded8bfd0f49b423b704893f96_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle g_2=\\frac{1}{N}\\cdot\\frac{\\displaystyle \\sum_{i=1}^N f_i\\cdot(c_i-\\mu)^4}{\\sigma^4}-3\" title=\"Rendered by QuickLaTeX.com\" height=\"73\" width=\"230\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Emas:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-056a86612914d05ca2e8e22994a8ac69_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g_2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"15\" style=\"vertical-align: -4px;\"><\/p>\n<p> adalah koefisien kurtosis.<\/li>\n<li style=\"margin-bottom:5px\">\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 data.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-dad27a9703483183e1afd245f5232b83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<p> adalah titik data ke-i dalam rangkaian tersebut.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-05d9eae892416bd34247a25207f8b718_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"11\" style=\"vertical-align: -4px;\"><\/p>\n<p> adalah <a href=\"https:\/\/statorials.org\/id\/rata-rata-aritmatika\/\">mean aritmatika<\/a> dari distribusi.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-eaaf379fee5e67946f3fedf5631047b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah <a href=\"https:\/\/statorials.org\/id\/simpangan-baku-atau-simpangan-baku\/\">deviasi standar (atau deviasi tipikal)<\/a> dari distribusi.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-fcb89ec1b112c79bfb56f1c210f6bb67_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f_i\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"14\" style=\"vertical-align: -4px;\"><\/p>\n<p> adalah frekuensi absolut dari kumpulan datanya.<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-1f20a6892ce371ba90592748cd2c20ff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"13\" style=\"vertical-align: -3px;\"><\/p>\n<p> adalah tanda kelas dari kelompok ke-i.<\/li>\n<\/ul>\n<p> Perhatikan bahwa dalam semua rumus koefisien kurtosis, 3 dikurangkan karena merupakan nilai kurtosis berdistribusi normal. Oleh karena itu, koefisien kurtosis dihitung dengan menggunakan acuan kurtosis berdistribusi normal. Inilah sebabnya terkadang dalam statistik dikatakan bahwa <strong>kurtosis berlebihan<\/strong> diperhitungkan. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"interpretacion-del-coeficiente-de-curtosis\"><\/span> Interpretasi koefisien kurtosis<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Interpretasi dari koefisien kurtosis<\/strong> adalah sebagai berikut:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Jika koefisien kurtosis positif maka distribusinya leptokurtik.<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Jika koefisien kurtosis sama dengan nol maka distribusinya bersifat mesokurtik.<\/span><\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\">Jika koefisien kurtosis negatif maka distribusinya bersifat platikurtik.<\/span> <\/li>\n<\/ul>\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\/types-daplatissement.png\" alt=\"jenis menyanjung\" class=\"wp-image-3045\" width=\"742\" height=\"188\" srcset=\"\" sizes=\"\"><\/figure>\n<p> Singkatnya, semakin besar koefisien kurtosis berarti distribusi tersebut memiliki lebih banyak kurtosis dan sebaliknya, semakin kecil koefisien kurtosis berarti distribusi tersebut memiliki lebih sedikit kurtosis. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"calculadora-del-coeficiente-de-curtosis\"><\/span> Kalkulator Koefisien Perataan<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Masukkan kumpulan data ke dalam kalkulator di bawah ini untuk menghitung koefisien kurtosisnya. Data harus dipisahkan dengan spasi dan dimasukkan menggunakan titik sebagai pemisah desimal. <\/p>\n<form action=\"\" method=\"post\"><textarea name=\"datos\" style=\"border:1.5px solid #4FC3F7; border-radius:15px;\" placeholder=\"1 2 3 9.7 10 65.91 ...\" required=\"\" oninvalid=\"this.setCustomValidity('Introduce los datos aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/textarea><\/p>\n<div style=\"text-align:center\"><input align=\"center\" style=\"border-radius:30px; margin: 20px\" type=\"submit\" name=\"submit\" value=\"Menghitung\"><\/div>\n<\/form>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedades-del-coeficiente-de-curtosis\"><\/span> Sifat koefisien kurtosis<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Koefisien kurtosis mempunyai sifat sebagai berikut:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Koefisien kurtosis adalah ukuran tak berdimensi.<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Koefisien kurtosis dihitung dengan menggunakan kurtosis berdistribusi normal (g <sub>2<\/sub> =3) sebagai acuan.<\/span><\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\">Koefisien kurtosis bersifat invarian terhadap perubahan skala, yaitu meskipun transformasi linier diterapkan pada variabel statistik, nilai koefisien kurtosis tetap sama.<\/span><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Artikel ini menjelaskan apa itu koefisien kurtosis dan cara menghitung koefisien kurtosis. Anda akan menemukan rumus koefisien kurtosis, bagaimana hasilnya diinterpretasikan dan, sebagai tambahan, Anda akan dapat menghitung koefisien kurtosis dari setiap sampel data dengan kalkulator online. Berapa koefisien kurtosisnya? Koefisien kurtosis adalah koefisien yang memungkinkan Anda menentukan kurtosis suatu distribusi. Dengan kata lain, koefisien [&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>Koefisien perataan: rumus, interpretasi dan kalkulator<\/title>\n<meta name=\"description\" content=\"Di sini Anda akan menemukan apa itu koefisien kurtosis, cara menghitungnya (rumus) dan kalkulator untuk menghitung koefisien kurtosis.\" \/>\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\/koefisien-perataan\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Koefisien perataan: rumus, interpretasi dan kalkulator\" \/>\n<meta property=\"og:description\" content=\"Di sini Anda akan menemukan apa itu koefisien kurtosis, cara menghitungnya (rumus) dan kalkulator untuk menghitung koefisien kurtosis.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/koefisien-perataan\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-05T01:17:41+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-90817c2e65eaadd93ca788fd87067144_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\/koefisien-perataan\/\",\"url\":\"https:\/\/statorials.org\/id\/koefisien-perataan\/\",\"name\":\"Koefisien perataan: rumus, interpretasi dan kalkulator\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-08-05T01:17:41+00:00\",\"dateModified\":\"2023-08-05T01:17:41+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Di sini Anda akan menemukan apa itu koefisien kurtosis, cara menghitungnya (rumus) dan kalkulator untuk menghitung koefisien kurtosis.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/koefisien-perataan\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/koefisien-perataan\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/koefisien-perataan\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Koefisien perataan\"}]},{\"@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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