{"id":1427,"date":"2023-07-26T10:38:50","date_gmt":"2023-07-26T10:38:50","guid":{"rendered":"https:\/\/statorials.org\/id\/deviasi-standar-dari-distribusi-probabilitas\/"},"modified":"2023-07-26T10:38:50","modified_gmt":"2023-07-26T10:38:50","slug":"deviasi-standar-dari-distribusi-probabilitas","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/deviasi-standar-dari-distribusi-probabilitas\/","title":{"rendered":"Bagaimana mencari simpangan baku dari suatu distribusi probabilitas"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Distribusi probabilitas memberi tahu kita probabilitas suatu variabel acak mengambil nilai tertentu.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Misalnya, distribusi probabilitas berikut memberi tahu kita probabilitas bahwa tim sepak bola tertentu akan mencetak sejumlah gol dalam pertandingan tertentu:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14093 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/moyennedist1.png\" alt=\"\" width=\"261\" height=\"185\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Untuk mencari <b>simpangan baku<\/b> suatu distribusi probabilitas, kita dapat menggunakan rumus berikut:<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">\u03c3 = \u221a <span style=\"border-top: 1px solid black;\">\u03a3(xi <sub>-\u03bc<\/sub> ) <sup>2<\/sup> * P( <sub>xi<\/sub> )<\/span><\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\">Emas:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x <sub>i<\/sub> :<\/strong> Nilai <sup>ke-i<\/sup><\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u03bc:<\/strong> Rata-rata distribusi<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>P(x <sub>i<\/sub> ) :<\/strong> Probabilitas nilai <sup>ke-i<\/sup><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Misalnya, pertimbangkan distribusi probabilitas kami untuk tim sepak bola:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14093 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/moyennedist1.png\" alt=\"\" width=\"261\" height=\"185\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Jumlah rata-rata gol tim sepak bola akan dihitung sebagai berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u03bc = 0*0,18 + 1*0,34 + 2*0,35 + 3*0,11 + 4*0,02 = <strong>1,45<\/strong> gol.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Kami kemudian dapat menghitung deviasi standar sebagai berikut:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14122 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/sddist1.png\" alt=\"Contoh Standar Deviasi Distribusi Probabilitas\" width=\"482\" height=\"195\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Simpangan baku adalah akar kuadrat dari jumlah nilai pada kolom ketiga. Jadi, kami akan menghitungnya sebagai berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Simpangan baku = \u221a <span style=\"border-top: 1px solid black;\">(0,3785 + 0,0689 + 0,1059 + 0,2643 + 0,1301)<\/span> = <strong>0,9734<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Variansnya hanyalah deviasi standar yang dikuadratkan, jadi:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Deviasi = 0,9734 <sup>2<\/sup> = <strong>0,9475<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Contoh berikut menunjukkan cara menghitung deviasi standar distribusi probabilitas dalam beberapa skenario lainnya.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Contoh 1: Standar deviasi kerusakan kendaraan<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Distribusi probabilitas berikut memberi tahu kita probabilitas bahwa suatu kendaraan akan mengalami sejumlah kegagalan baterai selama periode 10 tahun:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14097 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/moyennedist2.png\" alt=\"Contoh Mencari Rata-Rata Distribusi Probabilitas\" width=\"265\" height=\"160\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Pertanyaan:<\/strong> Berapa simpangan baku jumlah kerusakan pada kendaraan tersebut?<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Solusi:<\/strong> Jumlah rata-rata kegagalan yang diharapkan dihitung sebagai berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u03bc = 0*0,24 + 1*0,57 + 2*0,16 + 3*0,03 = <b>0,98<\/b> kegagalan.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Kami kemudian dapat menghitung deviasi standar sebagai berikut:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14123\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/sddist2.png\" alt=\"Contoh penghitungan simpangan baku dan varians suatu distribusi probabilitas\" width=\"447\" height=\"152\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Simpangan baku adalah akar kuadrat dari jumlah nilai pada kolom ketiga. Jadi, kami akan menghitungnya sebagai berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Simpangan baku = \u221a <span style=\"border-top: 1px solid black;\">(.2305 + .0002 + .1665 + .1224)<\/span> = <strong>0.7208<\/strong><\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Contoh 2: Deviasi standar penjualan<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Distribusi probabilitas berikut memberi tahu kita probabilitas bahwa penjual tertentu akan menghasilkan sejumlah penjualan tertentu pada bulan mendatang:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14099 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/moyennedist4.png\" alt=\"\" width=\"257\" height=\"150\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Pertanyaan:<\/strong> Berapa standar deviasi jumlah penjualan penjual ini pada bulan mendatang?<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Solusi:<\/strong> Jumlah rata-rata penjualan yang diharapkan dihitung sebagai berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u03bc = 10*0,24 + 20*0,31 + 30*0,39 + 40*0,06 = <b>22,7<\/b> kotor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Kami kemudian dapat menghitung deviasi standar sebagai berikut:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14124 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/sddist3.png\" alt=\"\" width=\"461\" height=\"154\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Simpangan baku adalah akar kuadrat dari jumlah nilai pada kolom ketiga. Jadi, kami akan menghitungnya sebagai berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Simpangan baku = \u221a <span style=\"border-top: 1px solid black;\">(38,7096 + 2,2599 + 20,7831 + 17,9574)<\/span> = <strong>8,928<\/strong><\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Sumber daya tambahan<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/id\/rata-rata-distribusi-probabilitas\/\" target=\"_blank\" rel=\"noopener\">Bagaimana mencari mean dari distribusi probabilitas<\/a><br \/> Kalkulator Distribusi Probabilitas<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Distribusi probabilitas memberi tahu kita probabilitas suatu variabel acak mengambil nilai tertentu. Misalnya, distribusi probabilitas berikut memberi tahu kita probabilitas bahwa tim sepak bola tertentu akan mencetak sejumlah gol dalam pertandingan tertentu: Untuk mencari simpangan baku suatu distribusi probabilitas, kita dapat menggunakan rumus berikut: \u03c3 = \u221a \u03a3(xi -\u03bc ) 2 * P( xi ) [&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>Bagaimana mencari simpangan baku dari suatu distribusi probabilitas<\/title>\n<meta name=\"description\" content=\"Tutorial ini menjelaskan cara mencari simpangan baku suatu distribusi probabilitas, termasuk rumus yang digunakan dan beberapa contoh.\" \/>\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\/deviasi-standar-dari-distribusi-probabilitas\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Bagaimana mencari simpangan baku dari suatu distribusi probabilitas\" \/>\n<meta property=\"og:description\" content=\"Tutorial ini menjelaskan cara mencari simpangan baku suatu distribusi probabilitas, termasuk rumus yang digunakan dan beberapa contoh.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/deviasi-standar-dari-distribusi-probabilitas\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-26T10:38:50+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/moyennedist1.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\/deviasi-standar-dari-distribusi-probabilitas\/\",\"url\":\"https:\/\/statorials.org\/id\/deviasi-standar-dari-distribusi-probabilitas\/\",\"name\":\"Bagaimana mencari simpangan baku dari suatu distribusi probabilitas\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-26T10:38:50+00:00\",\"dateModified\":\"2023-07-26T10:38:50+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Tutorial ini menjelaskan cara mencari simpangan baku suatu distribusi probabilitas, termasuk rumus yang digunakan dan beberapa contoh.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/deviasi-standar-dari-distribusi-probabilitas\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/deviasi-standar-dari-distribusi-probabilitas\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/deviasi-standar-dari-distribusi-probabilitas\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Bagaimana mencari simpangan baku dari suatu distribusi probabilitas\"}]},{\"@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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