{"id":1494,"date":"2023-07-26T04:12:22","date_gmt":"2023-07-26T04:12:22","guid":{"rendered":"https:\/\/statorials.org\/id\/distribusi-seragam\/"},"modified":"2023-07-26T04:12:22","modified_gmt":"2023-07-26T04:12:22","slug":"distribusi-seragam","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/distribusi-seragam\/","title":{"rendered":"Pengantar distribusi seragam"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Distribusi seragam<\/strong> adalah distribusi probabilitas yang setiap nilai antara interval <em>a<\/em> sampai <em>b<\/em> mempunyai peluang terjadinya yang sama.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Jika suatu variabel acak <em>X<\/em> mengikuti distribusi seragam, maka peluang <em>X<\/em> mengambil nilai antara <em>x <sub>1<\/sub><\/em> dan <em>x<\/em> <sub>2<\/sub> dapat dicari dengan rumus berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P(x <sub>1<\/sub> &lt; X &lt; x <sub>2<\/sub> ) = (x <sub>2<\/sub> \u2013 x <sub>1<\/sub> ) \/ (b \u2013 a)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Emas:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x <sub>1<\/sub> :<\/strong> nilai bunga yang lebih rendah<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>x <sub>2<\/sub> :<\/strong> nilai bunga tertinggi<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>a:<\/strong> nilai minimum yang mungkin<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>b :<\/strong> nilai maksimum yang mungkin<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Misalnya, berat lumba-lumba tersebar merata antara 100 dan 150 pon.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Jika kita memilih seekor lumba-lumba secara acak, kita dapat menggunakan rumus di atas untuk menentukan probabilitas bahwa lumba-lumba yang terpilih memiliki berat antara 120 dan 130 pon:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P(120 &lt; X &lt; 130) = (130 \u2013 120) \/ (150 \u2013 100)<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(120 &lt; X &lt; 130) = 10\/50<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(120 &lt; X &lt; 130) = <strong>0,2<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Peluang terambilnya lumba-lumba yang terpilih memiliki berat antara 120 dan 130 pon adalah <strong>0,2<\/strong> .<\/span><\/p>\n<h3> <strong>Visualisasikan distribusi seragam<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Jika kita membuat plot kepadatan untuk memvisualisasikan pemerataan, maka akan terlihat plot berikut:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14806 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/uniforme1.png\" alt=\"Distribusi seragam\" width=\"468\" height=\"296\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Setiap nilai antara batas bawah <em>a<\/em> dan batas atas <em>b<\/em> mempunyai peluang terjadinya yang sama dan nilai apa pun di luar batas tersebut mempunyai peluang nol.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Misalnya, dalam contoh sebelumnya, kami mengatakan bahwa berat lumba-lumba didistribusikan secara merata antara 100 dan 150 pon. Berikut cara memvisualisasikan distribusi ini:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14807 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/uniforme2.png\" alt=\"\" width=\"466\" height=\"309\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Dan probabilitas seekor lumba-lumba yang dipilih secara acak memiliki berat antara 120 dan 130 pon dapat divisualisasikan sebagai berikut:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14808 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/uniforme3.png\" alt=\"\" width=\"464\" height=\"307\" srcset=\"\" sizes=\"\"><\/p>\n<h3> <strong>Sifat distribusi seragam<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Distribusi seragam mempunyai ciri-ciri sebagai berikut:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Rata-rata: <strong>(a + b) \/ 2<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Median: <strong>(a + b) \/ 2<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Simpangan baku: \u221a <strong><span style=\"border-top: 1px solid black;\">(b \u2013 a) <sup>2\/12<\/sup><\/span><\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Selisih : <strong>(b \u2013 a) <sup>2\/12<\/sup><\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Misalnya, berat lumba-lumba tersebar merata antara 100 dan 150 pon.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Kita dapat menghitung properti berikut untuk distribusi ini:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Berat rata-rata: (a + b) \/ 2 = (150 + 100) \/ 2 = <strong>125<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Berat rata-rata: (a + b) \/ 2 = (150 + 100) \/ 2 = <strong>125<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Standar deviasi berat: \u221a <span style=\"border-top: 1px solid black;\">(150 \u2013 100) <sup>2\/12<\/sup><\/span> = <strong>14,43<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Variasi berat: (150 \u2013 100) <sup>2\/12<\/sup> = <strong>208,33<\/strong><\/span><\/li>\n<\/ul>\n<h3> <strong>Masalah dengan Praktik Distribusi Seragam<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Gunakan soal latihan berikut untuk menguji pengetahuan Anda tentang distribusi seragam.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Pertanyaan 1:<\/strong> Sebuah bus datang ke halte setiap 20 menit. Jika Anda tiba di halte bus, berapa peluang bus tersebut tiba dalam waktu 8 menit atau kurang?<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Solusi 1:<\/strong> Waktu tunggu minimum adalah 0 menit dan waktu tunggu maksimum adalah 20 menit. Nilai bunga bawah adalah 0 menit dan nilai bunga atas adalah 8 menit.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Jadi, kami akan menghitung probabilitasnya sebagai berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\">P(0 &lt; X &lt; 8) = (8-0) \/ (20-0) = 8\/20 = <strong>0,4<\/strong> .<\/span><\/p>\n<hr>\n<p> <span style=\"color: #000000;\"><strong>Pertanyaan 2:<\/strong> Durasi permainan NBA didistribusikan secara merata antara 120 dan 170 menit. Berapa peluang suatu pertandingan NBA yang dipilih secara acak berlangsung lebih dari 155 menit?<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Solusi 2:<\/strong> Durasi minimum adalah 120 menit dan durasi maksimum adalah 170 menit. Nilai bunga bawah 155 menit dan nilai bunga atas 170 menit.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Jadi, kami akan menghitung probabilitasnya sebagai berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\">P(155 &lt; X &lt; 170) = (170-155) \/ (170-120) = 15\/50 = <strong>0,3<\/strong> .<\/span><\/p>\n<hr>\n<p> <span style=\"color: #000000;\"><strong>Pertanyaan 3:<\/strong> Berat suatu spesies katak tertentu tersebar merata antara 15 dan 25 gram. Jika seekor katak diambil secara acak, berapa peluang terambilnya katak dengan berat antara 17 dan 19 gram?<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Solusi 3:<\/strong> Berat minimal 15 gram dan berat maksimal 25 gram. Nilai bunga bawah sebesar 17 gram dan nilai bunga atas sebesar 19 gram.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Jadi, kami akan menghitung probabilitasnya sebagai berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\">P(17 &lt; X &lt; 19) = (19-17) \/ (25-15) = 2\/10 = <strong>0,2<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Catatan:<\/strong> Kita dapat menggunakan Kalkulator Distribusi Seragam untuk memeriksa jawaban kita terhadap setiap soal ini.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Distribusi seragam adalah distribusi probabilitas yang setiap nilai antara interval a sampai b mempunyai peluang terjadinya yang sama. Jika suatu variabel acak X mengikuti distribusi seragam, maka peluang X mengambil nilai antara x 1 dan x 2 dapat dicari dengan rumus berikut: P(x 1 &lt; X &lt; x 2 ) = (x 2 \u2013 x [&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>Pengantar Distribusi Seragam - Statologi<\/title>\n<meta name=\"description\" content=\"Tutorial ini memberikan pengenalan distribusi seragam, termasuk definisi formal 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\/distribusi-seragam\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Pengantar Distribusi Seragam - Statologi\" \/>\n<meta property=\"og:description\" content=\"Tutorial ini memberikan pengenalan distribusi seragam, termasuk definisi formal dan beberapa contoh.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/distribusi-seragam\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-26T04:12:22+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/uniforme1.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\/distribusi-seragam\/\",\"url\":\"https:\/\/statorials.org\/id\/distribusi-seragam\/\",\"name\":\"Pengantar Distribusi Seragam - Statologi\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-26T04:12:22+00:00\",\"dateModified\":\"2023-07-26T04:12:22+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Tutorial ini memberikan pengenalan distribusi seragam, termasuk definisi formal dan beberapa contoh.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/distribusi-seragam\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/distribusi-seragam\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/distribusi-seragam\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Pengantar distribusi seragam\"}]},{\"@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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