{"id":2777,"date":"2023-07-20T18:16:11","date_gmt":"2023-07-20T18:16:11","guid":{"rendered":"https:\/\/statorials.org\/id\/varians-data-yang-dikelompokkan\/"},"modified":"2023-07-20T18:16:11","modified_gmt":"2023-07-20T18:16:11","slug":"varians-data-yang-dikelompokkan","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/varians-data-yang-dikelompokkan\/","title":{"rendered":"Cara mencari varians data yang dikelompokkan (dengan contoh)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Kita sering kali ingin menghitung <a href=\"https:\/\/statorials.org\/id\/penjelasan-sederhana-tentang-cara-menafsirkan-varians\/\" target=\"_blank\" rel=\"noopener\">varians<\/a> dari distribusi frekuensi yang dikelompokkan.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Misalnya, kita mempunyai distribusi frekuensi berkelompok berikut:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14462 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mean_sd_grouped1.png\" alt=\"\" width=\"211\" height=\"223\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Meskipun tidak mungkin menghitung varians secara pasti karena kita tidak mengetahui <a href=\"https:\/\/statorials.org\/id\/data-mentah\/\" target=\"_blank\" rel=\"noopener\">nilai data mentahnya<\/a> , varians dapat diperkirakan dengan menggunakan rumus berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Varians:<\/strong> \u03a3n <sub>i<\/sub> ( <sub>mi<\/sub> -\u03bc) <sup>2<\/sup> \/ (N-1)<\/span><\/p>\n<p> <span style=\"color: #000000;\">Emas:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>n <sub>i<\/sub> :<\/strong> Frekuensi <sup>grup<\/sup> ke-i<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><sub>mi<\/sub> :<\/strong> Bagian tengah dari grup ke <sup>&#8211;<\/sup> i<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u03bc<\/strong> : Rata-rata<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>N:<\/strong> Total ukuran sampel<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Catatan:<\/strong> <a href=\"https:\/\/statorials.org\/id\/tengah-kelas\/\" target=\"_blank\" rel=\"noopener\">Titik tengah<\/a> setiap kelompok dapat ditemukan dengan mengambil rata-rata nilai bawah dan atas rentang tersebut. Misalnya, titik tengah kelompok pertama dihitung sebagai berikut: (1+10) \/ 2 = 5,5.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Contoh berikut menunjukkan cara menggunakan rumus ini dalam praktik.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Contoh: Menghitung varians data yang dikelompokkan<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Misalkan kita memiliki data yang dikelompokkan berikut:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14462 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mean_sd_grouped1.png\" alt=\"\" width=\"198\" height=\"209\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Berikut cara kami menggunakan rumus yang disebutkan sebelumnya untuk menghitung varians data yang dikelompokkan ini:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-24385\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/groupevar1.jpg\" alt=\"varians data yang dikelompokkan\" width=\"637\" height=\"216\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Kami kemudian akan menghitung variansnya sebagai berikut:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Varians:<\/strong> \u03a3n <sub>i<\/sub> ( <sub>mi<\/sub> -\u03bc) <sup>2<\/sup> \/ (N-1)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Selisih<\/strong> : (604,82 + 382,28 + 68,12 + 477,04 + 511,21) \/ (23-1)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Selisih<\/strong> : 92,885<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Varians dari dataset tersebut ternyata adalah <strong>92.885<\/strong> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Sumber daya tambahan<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Tutorial berikut menjelaskan cara menghitung metrik lain untuk data yang dikelompokkan:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/id\/rata-rata-data-kumpulan-deviasi-standar\/\" target=\"_blank\" rel=\"noopener\">Cara mencari mean dan deviasi standar data yang dikelompokkan<\/a><br \/> <a href=\"https:\/\/statorials.org\/id\/peringkat-persentil-untuk-data-yang-dikelompokkan\/\" target=\"_blank\" rel=\"noopener\">Cara menghitung peringkat persentil untuk data yang dikelompokkan<\/a><br \/> <a href=\"https:\/\/statorials.org\/id\/median-data-yang-dikelompokkan\/\" target=\"_blank\" rel=\"noopener\">Cara mencari median data yang dikelompokkan<\/a><br \/> <a href=\"https:\/\/statorials.org\/id\/mode-data-berkelompok\/\" target=\"_blank\" rel=\"noopener\">Cara menemukan mode data berkelompok<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Kita sering kali ingin menghitung varians dari distribusi frekuensi yang dikelompokkan. Misalnya, kita mempunyai distribusi frekuensi berkelompok berikut: Meskipun tidak mungkin menghitung varians secara pasti karena kita tidak mengetahui nilai data mentahnya , varians dapat diperkirakan dengan menggunakan rumus berikut: Varians: \u03a3n i ( mi -\u03bc) 2 \/ (N-1) Emas: n i : Frekuensi grup [&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":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Cara Mencari Varians Data yang Dikelompokkan (dengan Contoh) - Statologi<\/title>\n<meta name=\"description\" content=\"Tutorial ini menjelaskan cara mencari varians data yang dikelompokkan, termasuk contoh lengkapnya.\" \/>\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\/varians-data-yang-dikelompokkan\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Cara Mencari Varians Data yang Dikelompokkan (dengan Contoh) - Statologi\" \/>\n<meta property=\"og:description\" content=\"Tutorial ini menjelaskan cara mencari varians data yang dikelompokkan, termasuk contoh lengkapnya.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/varians-data-yang-dikelompokkan\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-20T18:16:11+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mean_sd_grouped1.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\/varians-data-yang-dikelompokkan\/\",\"url\":\"https:\/\/statorials.org\/id\/varians-data-yang-dikelompokkan\/\",\"name\":\"Cara Mencari Varians Data yang Dikelompokkan (dengan Contoh) - Statologi\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-20T18:16:11+00:00\",\"dateModified\":\"2023-07-20T18:16:11+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Tutorial ini menjelaskan cara mencari varians data yang dikelompokkan, termasuk contoh lengkapnya.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/varians-data-yang-dikelompokkan\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/varians-data-yang-dikelompokkan\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/varians-data-yang-dikelompokkan\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Cara mencari varians data yang dikelompokkan (dengan contoh)\"}]},{\"@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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