{"id":1461,"date":"2023-07-26T07:28:41","date_gmt":"2023-07-26T07:28:41","guid":{"rendered":"https:\/\/statorials.org\/id\/rata-rata-data-kumpulan-deviasi-standar\/"},"modified":"2023-07-26T07:28:41","modified_gmt":"2023-07-26T07:28:41","slug":"rata-rata-data-kumpulan-deviasi-standar","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/rata-rata-data-kumpulan-deviasi-standar\/","title":{"rendered":"Cara mencari rata-rata &amp; deviasi standar dari data yang dikelompokkan"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Kita sering kali ingin menghitung mean dan deviasi standar data yang dikelompokkan dalam beberapa cara. Misalnya, 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=\"211\" height=\"223\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Meskipun tidak mungkin menghitung mean dan deviasi standar secara pasti karena kita tidak mengetahui <a href=\"https:\/\/statorials.org\/id\/data-mentah\/\" target=\"_blank\" rel=\"noopener\">nilai data mentahnya<\/a> , namun kita dapat memperkirakan mean dan deviasi standar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Langkah-langkah berikut menjelaskan cara melakukannya.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Terkait:<\/strong> <a href=\"https:\/\/statorials.org\/id\/mode-data-berkelompok\/\" target=\"_blank\" rel=\"noopener\">Cara Menemukan Mode Data yang Dikelompokkan<\/a><\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Hitung rata-rata data yang dikelompokkan<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Kita dapat menggunakan rumus berikut untuk memperkirakan rata-rata data yang dikelompokkan:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Rata-rata:<\/strong> \u03a3m <sub>i<\/sub> n <sub>i<\/sub> \/ N<\/span><\/p>\n<p> <span style=\"color: #000000;\">Emas:<\/span><\/p>\n<ul>\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>n <sub>i<\/sub> :<\/strong> Frekuensi <sup>grup<\/sup> ke-i<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>N:<\/strong> Total ukuran sampel<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Inilah cara kami menerapkan rumus ini ke kumpulan data kami sebelumnya:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14463 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mean_sd_grouped2.png\" alt=\"Rumus untuk rata-rata data yang dikelompokkan\" width=\"432\" height=\"295\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Rata-rata kumpulan datanya adalah <strong>22,89<\/strong> .<\/span><\/p>\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<h3> <span style=\"color: #000000;\"><strong>Hitung simpangan baku data yang dikelompokkan<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Kita dapat menggunakan rumus berikut untuk memperkirakan simpangan baku data yang dikelompokkan:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Simpangan baku:<\/strong> \u221a <span style=\"border-top: 1px solid black;\">\u03a3n <sub>i<\/sub> (mi <sub>-\u03bc<\/sub> ) <sup>2<\/sup> \/ (N-1)<\/span><\/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;\">Inilah cara kami menerapkan rumus ini ke kumpulan data kami:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14466 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mean_sd_grouped3-1.png\" alt=\"Contoh simpangan baku suatu kelompok data\" width=\"668\" height=\"282\" srcset=\"\" sizes=\"\"> <span style=\"color: #000000;\">Deviasi standar kumpulan data tersebut ternyata adalah <strong>9,6377<\/strong> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Sumber daya tambahan<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/id\/histogram-rata-rata-median\/\" target=\"_blank\" rel=\"noopener\">Cara memperkirakan mean dan median histogram apa pun<\/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><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Kita sering kali ingin menghitung mean dan deviasi standar data yang dikelompokkan dalam beberapa cara. Misalnya, kita memiliki data yang dikelompokkan berikut: Meskipun tidak mungkin menghitung mean dan deviasi standar secara pasti karena kita tidak mengetahui nilai data mentahnya , namun kita dapat memperkirakan mean dan deviasi standar. Langkah-langkah berikut menjelaskan cara melakukannya. Terkait: Cara [&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 mean dan deviasi standar data yang dikelompokkan<\/title>\n<meta name=\"description\" content=\"Tutorial ini menjelaskan cara mencari mean dan deviasi standar dari data yang dikelompokkan, dengan contoh langkah demi langkah.\" \/>\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\/rata-rata-data-kumpulan-deviasi-standar\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Cara mencari mean dan deviasi standar data yang dikelompokkan\" \/>\n<meta property=\"og:description\" content=\"Tutorial ini menjelaskan cara mencari mean dan deviasi standar dari data yang dikelompokkan, dengan contoh langkah demi langkah.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/rata-rata-data-kumpulan-deviasi-standar\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-26T07:28:41+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\/rata-rata-data-kumpulan-deviasi-standar\/\",\"url\":\"https:\/\/statorials.org\/id\/rata-rata-data-kumpulan-deviasi-standar\/\",\"name\":\"Cara mencari mean dan deviasi standar data yang dikelompokkan\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-26T07:28:41+00:00\",\"dateModified\":\"2023-07-26T07:28:41+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Tutorial ini menjelaskan cara mencari mean dan deviasi standar dari data yang dikelompokkan, dengan contoh langkah demi langkah.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/rata-rata-data-kumpulan-deviasi-standar\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/rata-rata-data-kumpulan-deviasi-standar\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/rata-rata-data-kumpulan-deviasi-standar\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Cara mencari rata-rata &amp; deviasi standar dari data yang dikelompokkan\"}]},{\"@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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