{"id":1697,"date":"2023-07-25T08:30:35","date_gmt":"2023-07-25T08:30:35","guid":{"rendered":"https:\/\/statorials.org\/id\/interval-kepercayaan-untuk-median\/"},"modified":"2023-07-25T08:30:35","modified_gmt":"2023-07-25T08:30:35","slug":"interval-kepercayaan-untuk-median","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/interval-kepercayaan-untuk-median\/","title":{"rendered":"Cara mencari interval keyakinan untuk median (langkah demi langkah)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Kita dapat menggunakan rumus berikut untuk menghitung batas atas dan bawah selang kepercayaan suatu median populasi:<\/span><\/p>\n<p> <strong>j:<\/strong> <span style=\"color: #000000;\">nq \u2013 z\u221a <span style=\"border-top: 1px solid black;\">nq(1-q)<\/span><\/span><\/p>\n<p> <strong>k:<\/strong> <span style=\"color: #000000;\">nq + z\u221a <span style=\"border-top: 1px solid black;\">nq(1-q)<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\">Emas:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> Ukuran sampel<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>q:<\/strong> Kuantitas yang diminati. Untuk median kita akan menggunakan q = 0,5.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>z :<\/strong> nilai kritis z<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Kita membulatkan j dan k ke bilangan bulat berikutnya. Interval kepercayaan yang dihasilkan terletak antara observasi <sup>ke-j<\/sup> dan <sup>ke-k<\/sup> pada data sampel yang diurutkan.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Perhatikan bahwa nilai z yang Anda gunakan bergantung pada tingkat kepercayaan yang Anda pilih. Tabel berikut menunjukkan nilai z yang sesuai dengan pilihan tingkat kepercayaan yang paling umum:<\/span><\/p>\n<table>\n<tbody>\n<tr>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>Tingkat kepercayaan diri<\/strong><\/span><\/th>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>nilai z<\/strong><\/span><\/th>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">0,90<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">1.645<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">0,95<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">1.96<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">0,99<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">2.58<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p> <span style=\"color: #000000;\"><strong>Sumber:<\/strong> Rumus ini berasal dari <em><a href=\"https:\/\/www.wiley.com\/en-us\/Practical+Nonparametric+Statistics%2C+3rd+Edition-p-9780471160687\" target=\"_blank\" rel=\"noopener\">Statistik Nonparametrik Praktis, edisi ke-3 oleh WJ Conover<\/a> .<\/em><\/span><\/p>\n<p> <span style=\"color: #000000;\">Contoh langkah demi langkah berikut menunjukkan cara menghitung interval kepercayaan untuk median populasi menggunakan data sampel 15 nilai berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Contoh data:<\/strong> 8, 11, 12, 13, 15, 17, 19, 20, 21, 21, 22, 23, 25, 26, 28<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Langkah 1: Temukan Median<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Pertama, kita perlu mencari median dari data sampel. Ini ternyata menjadi nilai rata-rata <strong>20<\/strong> :<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\">8, 11, 12, 13, 15, 17, 19, 20, 21, <span style=\"color: #ff0000;\"><strong>21<\/strong><\/span> , 22, 23, 25, 26, 28<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Langkah 2: Temukan <em>j<\/em> dan <em>k<\/em><\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Misalkan kita ingin mencari selang kepercayaan 95% untuk median populasi. Untuk melakukan ini, pertama-tama kita perlu mencari <em>j<\/em> dan <em>k<\/em> :<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>j:<\/strong> nq \u2013 z\u221a <span style=\"border-top: 1px solid black;\">nq(1-q)<\/span> = (15)(.5) \u2013 1.96\u221a <span style=\"border-top: 1px solid black;\">(15)(.5)(1-.5)<\/span> = 3.7<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>k:<\/strong> nq + z\u221a <span style=\"border-top: 1px solid black;\">nq(1-q)<\/span> = (15)(.5) + 1,96\u221a <span style=\"border-top: 1px solid black;\">(15)(.5)(1-.5)<\/span> = 11.3<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Kita akan membulatkan <em>j<\/em> dan <em>k<\/em> ke bilangan bulat terdekat:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>d:<\/strong> 4<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>k:<\/strong> 12<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>Langkah 3: Temukan Interval Keyakinan<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Interval kepercayaan 95% untuk median adalah antara observasi j = <sup>ke-4<\/sup> dan k = ke- <sup>12<\/sup> dalam sampel data.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Observasi <sup>ke-4<\/sup> sama dengan 13 dan observasi <sup>ke-12<\/sup> sama dengan 23:<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\">8, 11, 12, <span style=\"color: #ff0000;\"><strong>13<\/strong><\/span> , 15, 17, 19, 20, 21, 21, 22, <span style=\"color: #ff0000;\"><strong>23<\/strong><\/span> , 25, 26, 28<\/span><\/p>\n<p> <span style=\"color: #000000;\">Jadi, interval kepercayaan 95% untuk mediannya adalah <strong>[13, 23]<\/strong> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Sumber daya tambahan<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/id\/proporsi-interval-kepercayaan\/\" target=\"_blank\" rel=\"noopener\">Bagaimana mencari selang kepercayaan suatu proporsi<\/a><br \/> <a href=\"https:\/\/statorials.org\/id\/interval-kepercayaan-rata-rata\/\" target=\"_blank\" rel=\"noopener\">Bagaimana mencari interval kepercayaan suatu mean<\/a><br \/> <a href=\"https:\/\/statorials.org\/id\/deviasi-standar-selang-kepercayaan\/\" target=\"_blank\" rel=\"noopener\">Bagaimana mencari selang kepercayaan untuk simpangan baku<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Kita dapat menggunakan rumus berikut untuk menghitung batas atas dan bawah selang kepercayaan suatu median populasi: j: nq \u2013 z\u221a nq(1-q) k: nq + z\u221a nq(1-q) Emas: n: Ukuran sampel q: Kuantitas yang diminati. Untuk median kita akan menggunakan q = 0,5. z : nilai kritis z Kita membulatkan j dan k ke bilangan bulat [&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 Interval Keyakinan untuk Median (Langkah demi Langkah)<\/title>\n<meta name=\"description\" content=\"Tutorial ini menjelaskan cara mencari interval kepercayaan untuk median, 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\/interval-kepercayaan-untuk-median\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Cara Mencari Interval Keyakinan untuk Median (Langkah demi Langkah)\" \/>\n<meta property=\"og:description\" content=\"Tutorial ini menjelaskan cara mencari interval kepercayaan untuk median, dengan contoh langkah demi langkah.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/interval-kepercayaan-untuk-median\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-25T08:30:35+00:00\" \/>\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\/interval-kepercayaan-untuk-median\/\",\"url\":\"https:\/\/statorials.org\/id\/interval-kepercayaan-untuk-median\/\",\"name\":\"Cara Mencari Interval Keyakinan untuk Median (Langkah demi Langkah)\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-25T08:30:35+00:00\",\"dateModified\":\"2023-07-25T08:30:35+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Tutorial ini menjelaskan cara mencari interval kepercayaan untuk median, dengan contoh langkah demi langkah.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/interval-kepercayaan-untuk-median\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/interval-kepercayaan-untuk-median\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/interval-kepercayaan-untuk-median\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Cara mencari interval keyakinan untuk median (langkah demi langkah)\"}]},{\"@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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