{"id":414,"date":"2023-07-30T08:00:52","date_gmt":"2023-07-30T08:00:52","guid":{"rendered":"https:\/\/statorials.org\/id\/distribusi-normal-2\/"},"modified":"2023-07-30T08:00:52","modified_gmt":"2023-07-30T08:00:52","slug":"distribusi-normal-2","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/distribusi-normal-2\/","title":{"rendered":"Distribusi normal"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Distribusi normal<\/strong> adalah distribusi probabilitas yang paling umum dalam statistik.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-952 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/liste_normale.png\" alt=\"\" width=\"838\" height=\"354\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Distribusi normal mempunyai ciri-ciri sebagai berikut:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Bentuk lonceng<\/span><\/li>\n<li> <a href=\"https:\/\/statorials.org\/id\/distribusi-simetris-1\/\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #000000;\">Simetris<\/span><\/a><\/li>\n<li> <span style=\"color: #000000;\">Rata-rata dan mediannya sama; keduanya terletak di pusat distribusi<\/span><\/li>\n<li> <span style=\"color: #000000;\">Sekitar 68% data berada dalam satu standar deviasi mean<\/span><\/li>\n<li> <span style=\"color: #000000;\">Sekitar 95% data berada dalam dua standar deviasi dari mean.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Sekitar 99,7% data berada dalam tiga standar deviasi mean.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Tiga poin terakhir dikenal sebagai <strong>aturan praktis<\/strong> , terkadang disebut <strong>aturan 68-95-99.7<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Terkait:<\/strong> <a href=\"https:\/\/statorials.org\/id\/aturan-praktis-masalah-empiris\/\">Rule of Thumb (Masalah Latihan)<\/a><\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Cara menggambar kurva normal<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Untuk menggambar kurva normal, kita perlu mengetahui mean dan deviasi standarnya.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Contoh 1:<\/strong> <em><strong>Misalkan tinggi badan laki-laki di suatu sekolah berdistribusi normal dengan rata-rata <span aria-hidden=\"true\" aria-describedby=\"katex-7\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathit\">\u03bc<\/span> <span class=\"mrel\">= 70 inci dan<\/span><\/span><\/span><\/span><\/span> simpangan baku <span aria-hidden=\"true\" aria-describedby=\"katex-8\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathit\">\u03c3 = 2 inci. Buat sketsa kurva normal.<\/span><\/span><\/span><\/span><\/span><\/strong><\/em><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Langkah 1:<\/strong> Buat sketsa kurva normal.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Langkah 2:<\/strong> Rata-rata 70 inci berada di tengah.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Langkah 3:<\/strong> Setiap deviasi standar berhubungan dengan jarak 2 inci.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-955 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/normaldist1.png\" alt=\"\" width=\"510\" height=\"356\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Contoh 2:<\/strong> <em><strong>Misalkan berat spesies berang-berang tertentu berdistribusi normal dengan rata-rata <span aria-hidden=\"true\" aria-describedby=\"katex-7\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathit\">\u03bc<\/span> <span class=\"mrel\">= 30 pon dan<\/span><\/span><\/span><\/span><\/span> simpangan baku <span aria-hidden=\"true\" aria-describedby=\"katex-8\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathit\">\u03c3 = 5 pon. Buat sketsa kurva normal.<\/span><\/span><\/span><\/span><\/span><\/strong><\/em><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Langkah 1:<\/strong> Buat sketsa kurva normal.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Langkah 2:<\/strong> Rata-rata 30 pon berada di tengah.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Langkah 3:<\/strong> Setiap deviasi standar setara dengan jarak 5 lbs<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-956 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/normaldist2.png\" alt=\"\" width=\"506\" height=\"330\" srcset=\"\" sizes=\"\"><br \/> <strong>Cara Mencari Persentase Menggunakan Distribusi Normal<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><strong>Aturan praktisnya<\/strong> , terkadang disebut <strong>aturan 68-95-99.7<\/strong> , menyatakan bahwa untuk variabel acak yang berdistribusi normal, 68% data berada dalam rentang satu deviasi standar dari rata-rata, 95% berada dalam rentang dua deviasi standar. deviasi dari mean dan 99,7% berada dalam tiga standar deviasi dari mean.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-952 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/liste_normale.png\" alt=\"\" width=\"838\" height=\"354\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Dengan menggunakan aturan ini kita dapat menjawab pertanyaan tentang persentase.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Contoh:<\/strong><\/span> <span style=\"color: #000000;\"><em><strong>Misalkan tinggi badan laki-laki di suatu sekolah berdistribusi normal dengan rata-rata <span aria-hidden=\"true\" aria-describedby=\"katex-7\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathit\">\u03bc<\/span> <span class=\"mrel\">= 70 inci dan<\/span><\/span><\/span><\/span><\/span> simpangan baku <span aria-hidden=\"true\" aria-describedby=\"katex-8\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathit\">\u03c3 = 2 inci.<\/span><\/span><\/span><\/span><\/span><\/strong><\/em><\/span><\/p>\n<p> <span style=\"color: #000000;\"><em><strong><span aria-hidden=\"true\" aria-describedby=\"katex-8\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathit\">Kira-kira berapa persentase pria di sekolah ini yang tingginya lebih dari 74 inci?<\/span><\/span><\/span><\/span><\/span><\/strong><\/em><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Larutan:<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Langkah 1:<\/strong> Buat sketsa distribusi normal dengan rata-rata <span aria-hidden=\"true\" aria-describedby=\"katex-7\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathit\">\u03bc<\/span> <span class=\"mrel\">= 70 inci dan<\/span><\/span><\/span><\/span><\/span> simpangan baku <span aria-hidden=\"true\" aria-describedby=\"katex-8\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathit\">\u03c3 = 2 inci.<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">Langkah 2:<\/span><\/strong> <span style=\"color: #000000;\">Tinggi 74 inci adalah dua standar deviasi di atas rata-rata. Tambahkan persentase di atas titik ini ke dalam distribusi normal.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-959 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/normaldist3-1.png\" alt=\"\" width=\"512\" height=\"334\" srcset=\"\" sizes=\"\"><br \/> <span style=\"color: #000000;\">2,35% + 0,15% = <strong>2,5%<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Sekitar <strong>2,5%<\/strong> pria di sekolah ini memiliki tinggi lebih dari 74 inci.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em><strong><span aria-hidden=\"true\" aria-describedby=\"katex-8\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathit\">Kira-kira berapa persentase pria di sekolah ini yang tingginya antara 68 inci dan 72 inci?<\/span><\/span><\/span><\/span><\/span><\/strong><\/em><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Larutan:<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Langkah 1:<\/strong> Buat sketsa distribusi normal dengan rata-rata <span aria-hidden=\"true\" aria-describedby=\"katex-7\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathit\">\u03bc<\/span> <span class=\"mrel\">= 70 inci dan<\/span><\/span><\/span><\/span><\/span> simpangan baku <span aria-hidden=\"true\" aria-describedby=\"katex-8\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathit\">\u03c3 = 2 inci.<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">Langkah 2:<\/span><\/strong> <span style=\"color: #000000;\">Tinggi badan 68 inci dan 72 inci masing-masing merupakan satu standar deviasi di bawah dan di atas rata-rata. Cukup tambahkan persentase antara dua titik ini dalam distribusi normal.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-961 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/normaldist4.png\" alt=\"\" width=\"504\" height=\"332\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">34% + 34% = <strong>68%<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Sekitar <strong>68%<\/strong> pria di sekolah ini memiliki tinggi antara 68 inci dan 72 inci.<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">Cara mencari hitungan menggunakan distribusi normal<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Kita juga bisa menggunakan aturan praktis untuk menjawab pertanyaan tentang hitungan.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Contoh: <em><strong>Misalkan berat suatu spesies berang-berang tertentu berdistribusi normal dengan rata-rata <span aria-hidden=\"true\" aria-describedby=\"katex-7\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathit\">\u03bc<\/span> <span class=\"mrel\">= 30 pon dan<\/span><\/span><\/span><\/span><\/span> simpangan baku <span aria-hidden=\"true\" aria-describedby=\"katex-8\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathit\">\u03c3 = 5 pon.<\/span><\/span><\/span><\/span><\/span><\/strong><\/em><\/span><\/p>\n<p> <span style=\"color: #000000;\"><em><strong>Sebuah koloni tertentu memiliki 200 ekor berang-berang ini. Kira-kira berapa banyak berang-berang yang beratnya lebih dari 35 pon?<\/strong><\/em><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Larutan:<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Langkah 1:<\/strong> Buat sketsa distribusi normal dengan rata-rata <span aria-hidden=\"true\" aria-describedby=\"katex-7\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathit\">\u03bc<\/span> <span class=\"mrel\">= 30 lb dan<\/span><\/span><\/span><\/span><\/span> simpangan baku <span aria-hidden=\"true\" aria-describedby=\"katex-8\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathit\">\u03c3 = 5 lb.<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">Langkah 2:<\/span><\/strong> <span style=\"color: #000000;\">Berat 35 pon adalah satu standar deviasi di atas rata-rata. Tambahkan persentase di atas titik ini ke dalam distribusi normal.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-964 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/normaldiste5.png\" alt=\"\" width=\"508\" height=\"333\" srcset=\"\" sizes=\"\"><br \/> <span style=\"color: #000000;\">13,5% + 2,35% + 0,15% = <strong>16%<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Langkah 3:<\/strong> Karena ada 200 berang-berang di koloni, 16% dari 200 = 0,16 * 200 = <strong>32<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Sekitar 32 berang-berang di koloni ini memiliki berat lebih dari 35 pon.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em><strong>Kira-kira berapa banyak berang-berang di koloni ini yang beratnya kurang dari 30 pon?<\/strong><\/em><\/span><\/p>\n<p> <span style=\"color: #000000;\">Daripada mengikuti semua langkah yang baru saja kita ambil di atas, kita dapat mengetahui bahwa median dari distribusi normal sama dengan mean, yaitu dalam kasus ini adalah 30 pon.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ini berarti setengah dari berang-berang memiliki berat lebih dari 30 pon dan separuh lainnya memiliki berat kurang dari 30 pon. Artinya 50% dari 200 berang-berang memiliki berat kurang dari 30 pon, jadi 0,5 * 200 = <strong>100 berang-berang<\/strong> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Sumber daya tambahan<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Tutorial berikut memberikan informasi tambahan tentang distribusi normal:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/id\/contoh-distribusi-normal\/\" target=\"_blank\" rel=\"noopener\">6 contoh konkrit distribusi normal<\/a><br \/> <a href=\"https:\/\/statorials.org\/id\/distribusi-normal-vs-distribusi-t\/\" target=\"_blank\" rel=\"noopener\">Distribusi normal vs distribusi t: perbedaannya<\/a><br \/> <a href=\"https:\/\/statorials.org\/id\/kurva-lonceng-excel\/\" target=\"_blank\" rel=\"noopener noreferrer\">Cara Membuat Kurva Lonceng di Excel<\/a><br \/><a href=\"https:\/\/statorials.org\/id\/python-kurva-lonceng\/\" target=\"_blank\" rel=\"noopener noreferrer\">Cara Membuat Kurva Lonceng dengan Python<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Distribusi normal adalah distribusi probabilitas yang paling umum dalam statistik. Distribusi normal mempunyai ciri-ciri sebagai berikut: Bentuk lonceng Simetris Rata-rata dan mediannya sama; keduanya terletak di pusat distribusi Sekitar 68% data berada dalam satu standar deviasi mean Sekitar 95% data berada dalam dua standar deviasi dari mean. Sekitar 99,7% data berada dalam tiga standar deviasi [&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>Distribusi normal - Statorial<\/title>\n<meta name=\"description\" content=\"Penjelasan sederhana tentang distribusi normal disertai 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-normal-2\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Distribusi normal - Statorial\" \/>\n<meta property=\"og:description\" content=\"Penjelasan sederhana tentang distribusi normal disertai beberapa contoh.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/distribusi-normal-2\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-30T08:00:52+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/liste_normale.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=\"3 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/id\/distribusi-normal-2\/\",\"url\":\"https:\/\/statorials.org\/id\/distribusi-normal-2\/\",\"name\":\"Distribusi normal - Statorial\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-30T08:00:52+00:00\",\"dateModified\":\"2023-07-30T08:00:52+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Penjelasan sederhana tentang distribusi normal disertai beberapa contoh.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/distribusi-normal-2\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/distribusi-normal-2\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/distribusi-normal-2\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Distribusi normal\"}]},{\"@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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Dengan pengalaman dan keahlian yang luas di bidang statistika, saya ingin berbagi ilmu untuk memberdayakan mahasiswa melalui Statorials. 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