{"id":2559,"date":"2023-07-21T17:58:06","date_gmt":"2023-07-21T17:58:06","guid":{"rendered":"https:\/\/statorials.org\/id\/hitung-persentil-dari-rata-rata-deviasi-standar\/"},"modified":"2023-07-21T17:58:06","modified_gmt":"2023-07-21T17:58:06","slug":"hitung-persentil-dari-rata-rata-deviasi-standar","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/hitung-persentil-dari-rata-rata-deviasi-standar\/","title":{"rendered":"Cara menghitung persentil dari mean &amp; deviasi standar"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Anda dapat menggunakan rumus berikut untuk menghitung persentil distribusi normal berdasarkan mean dan deviasi standar:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Nilai persentil = \u03bc + z\u03c3<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Emas:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u03bc<\/strong> : Rata-rata<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>z<\/strong> : skor z dari tabel z yang sesuai dengan nilai persentil<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u03c3<\/strong> : Standar deviasi<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Contoh berikut menunjukkan cara menggunakan rumus ini dalam praktik.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Contoh 1: Hitung persentil ke-15 menggunakan mean dan deviasi standar<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Misalkan berat spesies berang-berang tertentu berdistribusi normal dengan rata-rata \u03bc = 60 pon dan simpangan baku \u03c3 = 12 pon.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Berapa berat berang-berang pada persentil ke-15?<\/span><\/p>\n<p> <span style=\"color: #000000;\">Untuk menjawab pertanyaan tersebut, kita perlu mencari skor z yang paling dekat dengan nilai <strong>0,15<\/strong> pada tabel z. Nilai ini ternyata <strong>-1.04<\/strong> :<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-22730 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/perce1-1.jpg\" alt=\"\" width=\"614\" height=\"604\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Kita kemudian dapat memasukkan nilai ini ke dalam rumus persentil:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Nilai persentil = \u03bc + z\u03c3<\/span><\/li>\n<li> <span style=\"color: #000000;\">Persentil ke-15 = 60 + (-1,04)*12<\/span><\/li>\n<li> <span style=\"color: #000000;\">Persentil ke-15 = 47,52<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Seekor berang-berang pada persentil ke-15 memiliki berat sekitar <strong>47,52<\/strong> pon.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Catatan<\/strong> : Kita juga dapat menggunakan kalkulator persentil skor-Z untuk mengetahui bahwa skor-z yang sesuai dengan persentil ke-15 adalah -1,0364.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Dengan memasukkan nilai ini ke dalam rumus persentil, kita memperoleh:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Nilai persentil = \u03bc + z\u03c3<\/span><\/li>\n<li> <span style=\"color: #000000;\">Persentil ke-15 = 60 + (-1,0364)*12<\/span><\/li>\n<li> <span style=\"color: #000000;\">Persentil ke-15 = 47,5632<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>Contoh 2:<\/strong><\/span> <span style=\"color: #000000;\"><strong>Hitung persentil ke-93 menggunakan mean dan deviasi standar<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Misalkan hasil suatu pengujian berdistribusi normal dengan mean \u03bc = 85 dan deviasi standar \u03c3 = 5.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Berapa nilai ujian siswa yang mendapat nilai persentil ke-93?<\/span><\/p>\n<p> <span style=\"color: #000000;\">Untuk menjawab pertanyaan tersebut, kita perlu mencari skor z yang paling dekat dengan nilai <strong>0,93<\/strong> pada tabel z. Nilai ini ternyata <strong>1.48<\/strong> :<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-22731 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/perce2.jpg\" alt=\"\" width=\"631\" height=\"621\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Kita kemudian dapat memasukkan nilai ini ke dalam rumus persentil:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Nilai persentil = \u03bc + z\u03c3<\/span><\/li>\n<li> <span style=\"color: #000000;\">Persentil ke-93 = 85 + (1,48)*5<\/span><\/li>\n<li> <span style=\"color: #000000;\">Persentil ke-93 = 92,4<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">Seorang siswa yang mendapat nilai pada persentil ke-93 akan menerima nilai ujian sekitar <strong>92,4<\/strong> .<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Catatan<\/strong> : Kita juga dapat menggunakan kalkulator persentil skor-Z untuk mengetahui bahwa skor-z yang sesuai dengan persentil ke-93 adalah 1,4758.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Dengan memasukkan nilai ini ke dalam rumus persentil, kita memperoleh:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Nilai persentil = \u03bc + z\u03c3<\/span><\/li>\n<li> <span style=\"color: #000000;\">Persentil ke-93 = 85+ (1,4758)*5<\/span><\/li>\n<li> <span style=\"color: #000000;\">Persentil ke-93 = 92,379<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>Sumber daya tambahan<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/id\/cara-menggunakan-tabel-z\/\" target=\"_blank\" rel=\"noopener\">Cara Menggunakan Tabel Z (Dengan Contoh)<\/a><br \/> <a href=\"https:\/\/statorials.org\/id\/mengkonversi-persentil-z-skor-excel\/\" target=\"_blank\" rel=\"noopener\">Bagaimana mengkonversi antara skor Z dan persentil di Excel<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Anda dapat menggunakan rumus berikut untuk menghitung persentil distribusi normal berdasarkan mean dan deviasi standar: Nilai persentil = \u03bc + z\u03c3 Emas: \u03bc : Rata-rata z : skor z dari tabel z yang sesuai dengan nilai persentil \u03c3 : Standar deviasi Contoh berikut menunjukkan cara menggunakan rumus ini dalam praktik. Contoh 1: Hitung persentil ke-15 [&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 menghitung persentil dari mean dan deviasi standar - Statorial<\/title>\n<meta name=\"description\" content=\"Tutorial ini menjelaskan cara menghitung persentil dari mean dan deviasi standar, dengan 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\/hitung-persentil-dari-rata-rata-deviasi-standar\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Cara menghitung persentil dari mean dan deviasi standar - Statorial\" \/>\n<meta property=\"og:description\" content=\"Tutorial ini menjelaskan cara menghitung persentil dari mean dan deviasi standar, dengan beberapa contoh.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/hitung-persentil-dari-rata-rata-deviasi-standar\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-21T17:58:06+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/perce1-1.jpg\" \/>\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\/hitung-persentil-dari-rata-rata-deviasi-standar\/\",\"url\":\"https:\/\/statorials.org\/id\/hitung-persentil-dari-rata-rata-deviasi-standar\/\",\"name\":\"Cara menghitung persentil dari mean dan deviasi standar - Statorial\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-21T17:58:06+00:00\",\"dateModified\":\"2023-07-21T17:58:06+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Tutorial ini menjelaskan cara menghitung persentil dari mean dan deviasi standar, dengan beberapa contoh.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/hitung-persentil-dari-rata-rata-deviasi-standar\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/hitung-persentil-dari-rata-rata-deviasi-standar\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/hitung-persentil-dari-rata-rata-deviasi-standar\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Cara menghitung persentil dari mean &amp; deviasi standar\"}]},{\"@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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