{"id":1396,"date":"2023-07-26T13:34:30","date_gmt":"2023-07-26T13:34:30","guid":{"rendered":"https:\/\/statorials.org\/id\/pagar-atas-dan-bawah\/"},"modified":"2023-07-26T13:34:30","modified_gmt":"2023-07-26T13:34:30","slug":"pagar-atas-dan-bawah","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/pagar-atas-dan-bawah\/","title":{"rendered":"Pagar atas dan bawah: pengertian &amp; contoh"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Dalam statistik, <strong>batas atas dan bawah<\/strong> mewakili nilai ambang batas untuk outlier atas dan bawah dalam kumpulan data. Mereka dihitung sebagai berikut:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Penutupan bawah<\/strong> = Q1 \u2013 (1,5*IQR)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Penutupan atas<\/strong> = Q3 + (1,5*IQR)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">di mana IQR adalah singkatan dari \u201crentang interkuartil\u201d yang mewakili perbedaan antara persentil ke-75 (Q3) dan persentil ke-25 (Q1) dalam suatu kumpulan data.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Suatu <a href=\"https:\/\/statorials.org\/id\/pengamatan-dalam-statistik\/\" target=\"_blank\" rel=\"noopener\">pengamatan<\/a> yang terletak di atas penghalang atas atau di bawah penghalang bawah sering kali dianggap outlier.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13870 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/upper_lower_fence2.png\" alt=\"Penutupan atas dan bawah pada diagram kotak dalam statistik\" width=\"679\" height=\"111\" srcset=\"\" sizes=\"\"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Contoh : Perhitungan pagar atas dan bawah<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Misalkan kita memiliki kumpulan data berikut:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 16px;\"> <strong>Dataset: 11, 13, 14, 14, 15, 16, 18, 22, 24, 27, 34, 36, 38, 41, 45\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Kita dapat menggunakan langkah-langkah berikut untuk menghitung pagar atas dan bawah dari kumpulan data:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Langkah 1: Cari Q1 dan Q3.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Q1 mewakili persentil ke-25 dari kumpulan data dan Q3 mewakili persentil ke-75. Menurut kalkulator rentang interkuartil, Q1 dan Q3 untuk kumpulan data ini adalah:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>T1:<\/strong> 14<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>T3:<\/strong> 36<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Langkah 2: Temukan IQR (rentang interkuartil).<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Rentang interkuartil mewakili selisih antara Q3 dan Q1, yang dihitung sebagai berikut:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Skala interkuartil:<\/strong> Q3 \u2013 Q1 = 36 \u2013 14 = 22<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Langkah 3: Temukan Pagar Atas dan Bawah<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Kita bisa menggunakan rumus berikut untuk menghitung pagar atas dan bawah:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Penutupan bawah:<\/strong> Q1 \u2013 (1.5*IQR) = 14 \u2013 (1.5*22) = -19<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Pagar atas:<\/strong> Q3 + (1.5*IQR) = 36 + (1.5*22) = 69<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Karena tidak ada observasi dalam kumpulan data kami yang berada di bawah pagar bawah atau di atas pagar atas, tidak ada observasi yang dianggap outlier.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Kita juga dapat membuat <a href=\"https:\/\/statorials.org\/id\/kumis-kotak\/\" target=\"_blank\" rel=\"noopener\">diagram kotak<\/a> untuk memvisualisasikan distribusi nilai data serta pagar atas dan bawah:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13868 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/upper_lower_fence1.png\" alt=\"Pagar atas dan bawah\" width=\"677\" height=\"109\" srcset=\"\" sizes=\"\"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Bonus: Kalkulator Penutupan Atas dan Bawah<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Daripada menghitung pagar atas dan bawah kumpulan data secara manual, silakan gunakan kalkulator pagar atas dan bawah:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13866\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/cloturecalc1.png\" alt=\"Kalkulator Pagar Atas dan Bawah\" width=\"327\" height=\"488\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Anda dapat menemukan kalkulator statistik yang lebih berguna di halaman ini .<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dalam statistik, batas atas dan bawah mewakili nilai ambang batas untuk outlier atas dan bawah dalam kumpulan data. Mereka dihitung sebagai berikut: Penutupan bawah = Q1 \u2013 (1,5*IQR) Penutupan atas = Q3 + (1,5*IQR) di mana IQR adalah singkatan dari \u201crentang interkuartil\u201d yang mewakili perbedaan antara persentil ke-75 (Q3) dan persentil ke-25 (Q1) dalam suatu [&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>Pagar atas dan bawah: definisi dan contoh - Statologi<\/title>\n<meta name=\"description\" content=\"Tutorial ini memberikan penjelasan tentang hambatan atas dan bawah dalam statistik, termasuk definisi formal dan contohnya.\" \/>\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\/pagar-atas-dan-bawah\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Pagar atas dan bawah: definisi dan contoh - Statologi\" \/>\n<meta property=\"og:description\" content=\"Tutorial ini memberikan penjelasan tentang hambatan atas dan bawah dalam statistik, termasuk definisi formal dan contohnya.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/pagar-atas-dan-bawah\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-26T13:34:30+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/upper_lower_fence2.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\/pagar-atas-dan-bawah\/\",\"url\":\"https:\/\/statorials.org\/id\/pagar-atas-dan-bawah\/\",\"name\":\"Pagar atas dan bawah: definisi dan contoh - Statologi\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-26T13:34:30+00:00\",\"dateModified\":\"2023-07-26T13:34:30+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Tutorial ini memberikan penjelasan tentang hambatan atas dan bawah dalam statistik, termasuk definisi formal dan contohnya.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/pagar-atas-dan-bawah\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/pagar-atas-dan-bawah\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/pagar-atas-dan-bawah\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Pagar atas dan bawah: pengertian &amp; contoh\"}]},{\"@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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