{"id":1300,"date":"2023-07-26T23:15:29","date_gmt":"2023-07-26T23:15:29","guid":{"rendered":"https:\/\/statorials.org\/id\/rata-rata-deviasi-absolut-dibandingkan-dengan-deviasi-standar\/"},"modified":"2023-07-26T23:15:29","modified_gmt":"2023-07-26T23:15:29","slug":"rata-rata-deviasi-absolut-dibandingkan-dengan-deviasi-standar","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/rata-rata-deviasi-absolut-dibandingkan-dengan-deviasi-standar\/","title":{"rendered":"Deviasi rata-rata absolut versus deviasi standar: apa bedanya?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Deviasi standar<\/strong> adalah salah satu cara paling umum untuk mengukur penyebaran kumpulan data.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ini dihitung sebagai berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Simpangan baku = \u221a( \u03a3( <sub>xi<\/sub> \u2013 <span style=\"text-decoration: overline;\">x<\/span> ) <sup>2<\/sup> \/ n )<\/span><\/p>\n<p> <span style=\"color: #000000;\">Cara lain untuk mengukur distribusi <a href=\"https:\/\/statorials.org\/id\/pengamatan-dalam-statistik\/\" target=\"_blank\" rel=\"noopener\">pengamatan<\/a> dalam kumpulan data adalah <strong>deviasi absolut rata-rata<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ini dihitung sebagai berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Deviasi absolut rata-rata = \u03a3|x <sub>i<\/sub> \u2013 <span style=\"text-decoration: overline;\">x<\/span> | \/bukan<\/span><\/p>\n<p> <span style=\"color: #000000;\">Tutorial ini menjelaskan perbedaan antara kedua metrik ini beserta contoh cara menghitung masing-masing metrik.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Persamaan dan perbedaan<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Seperti namanya, deviasi standar dan deviasi absolut rata-rata berupaya mengukur <em>deviasi<\/em> tipikal pengamatan dari rata-rata dalam kumpulan data tertentu.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Namun <em>metode<\/em> yang digunakan tiap metrik berbeda-beda.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Deviasi standar<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Deviasi standar mencari <strong>selisih kuadrat<\/strong> antara setiap pengamatan dan rata-rata kumpulan data. Kemudian menghitung rata-rata perbedaan kuadrat ini dan mengambil akar kuadrat.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Hal ini memberi kita angka yang mewakili \u201cstandar\u201d atau deviasi tipikal suatu observasi dari mean.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Berarti penyimpangan mutlak<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Sebaliknya, deviasi absolut rata-rata mencari <strong>deviasi absolut<\/strong> antara setiap pengamatan dan rata-rata kumpulan data. Kemudian menemukan rata-rata penyimpangan tersebut.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Hal ini memberi kita angka yang mewakili deviasi rata-rata observasi dari mean.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Karena deviasi standar menemukan perbedaan kuadrat, deviasi tersebut akan selalu sama dengan atau lebih besar dari deviasi absolut rata-rata.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Jika terdapat outlier ekstrem, deviasi standar akan jauh lebih besar daripada deviasi absolut rata-rata. Contoh berikut menggambarkan hal ini.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Contoh: rata-rata deviasi absolut dari deviasi standar<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Misalkan kita memiliki kumpulan data 8 nilai berikut:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12730 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mad_sd2.png\" alt=\"\" width=\"101\" height=\"267\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Rata-ratanya adalah <strong>11<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Jadi, kami menghitung deviasi absolut rata-rata sebagai berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Deviasi absolut rata-rata<\/strong> = (|3-11| + |5-11| + |6-11| + |8-11| + |11-11| + |14-11| + |17-11| + |24- 11|) \/ 8 = <strong>5,5<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Dan kami akan menghitung deviasi standar sebagai berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Simpangan baku =<\/strong> \u221a((3-11) <sup>2<\/sup> + (5-11) <sup>2<\/sup> + (6-11) <sup>2<\/sup> + (8-11) <sup>2<\/sup> + (11-11) <sup>2<\/sup> + (14-11) <sup>2<\/sup> + (17- 11) <sup>2<\/sup> + (24-11) <sup>2<\/sup> )\/8) = <strong>6,595<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Seperti disebutkan sebelumnya, deviasi standar akan selalu sama dengan atau lebih besar dari deviasi absolut rata-rata.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Namun, perbedaan antara deviasi standar dan deviasi absolut rata-rata akan menjadi sangat besar jika terdapat outlier ekstrim dalam kumpulan data.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Misalnya, pertimbangkan kumpulan data berikut dengan outlier ekstrem untuk nilai terakhir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12731 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mad_sd3.png\" alt=\"\" width=\"84\" height=\"255\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Ternyata standar deviasi dataset ini adalah <b>63,27<\/b> sedangkan rata-rata deviasi absolutnya adalah <strong>41,75<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Pencilan ekstrem menyebabkan deviasi standar jauh lebih besar daripada deviasi absolut rata-rata.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Deviasi standar adalah salah satu cara paling umum untuk mengukur penyebaran kumpulan data. Ini dihitung sebagai berikut: Simpangan baku = \u221a( \u03a3( xi \u2013 x ) 2 \/ n ) Cara lain untuk mengukur distribusi pengamatan dalam kumpulan data adalah deviasi absolut rata-rata . Ini dihitung sebagai berikut: Deviasi absolut rata-rata = \u03a3|x i \u2013 [&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>Deviasi absolut rata-rata versus deviasi standar: apa bedanya? - Statorial<\/title>\n<meta name=\"description\" content=\"Tutorial ini menjelaskan perbedaan rata-rata deviasi absolut dan deviasi standar, termasuk kelebihan dan kekurangan masing-masing metrik.\" \/>\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-deviasi-absolut-dibandingkan-dengan-deviasi-standar\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Deviasi absolut rata-rata versus deviasi standar: apa bedanya? - Statorial\" \/>\n<meta property=\"og:description\" content=\"Tutorial ini menjelaskan perbedaan rata-rata deviasi absolut dan deviasi standar, termasuk kelebihan dan kekurangan masing-masing metrik.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/rata-rata-deviasi-absolut-dibandingkan-dengan-deviasi-standar\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-26T23:15:29+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mad_sd2.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\/rata-rata-deviasi-absolut-dibandingkan-dengan-deviasi-standar\/\",\"url\":\"https:\/\/statorials.org\/id\/rata-rata-deviasi-absolut-dibandingkan-dengan-deviasi-standar\/\",\"name\":\"Deviasi absolut rata-rata versus deviasi standar: apa bedanya? - Statorial\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-26T23:15:29+00:00\",\"dateModified\":\"2023-07-26T23:15:29+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Tutorial ini menjelaskan perbedaan rata-rata deviasi absolut dan deviasi standar, termasuk kelebihan dan kekurangan masing-masing metrik.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/rata-rata-deviasi-absolut-dibandingkan-dengan-deviasi-standar\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/rata-rata-deviasi-absolut-dibandingkan-dengan-deviasi-standar\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/rata-rata-deviasi-absolut-dibandingkan-dengan-deviasi-standar\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Deviasi rata-rata absolut versus deviasi standar: apa bedanya?\"}]},{\"@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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