{"id":258,"date":"2023-08-03T12:41:07","date_gmt":"2023-08-03T12:41:07","guid":{"rendered":"https:\/\/statorials.org\/id\/skor-z\/"},"modified":"2023-08-03T12:41:07","modified_gmt":"2023-08-03T12:41:07","slug":"skor-z","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/skor-z\/","title":{"rendered":"Skor-z"},"content":{"rendered":"<p>Artikel ini menjelaskan apa itu skor Z dalam statistik. Anda juga akan mempelajari cara menghitung Z-score suatu saham, contoh cara menghitungnya, dan apa saja ciri-ciri Z-score. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-puntuacion-z\"><\/span> Berapa skor Z?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Z-score<\/strong> , atau <strong>Z-score<\/strong> , adalah skor statistik yang menunjukkan berapa banyak standar deviasi suatu nilai dari mean. Untuk menghitung skor Z suatu nilai, Anda mengurangi mean dari nilai tersebut, lalu membaginya dengan deviasi standar sampel data.<\/p>\n<p> Misalnya, jika suatu nilai lebih kecil dua standar deviasi dari rata-rata aritmatika kumpulan data, skor Z untuk nilai tersebut adalah -2.<\/p>\n<p> Istilah statistik ini disebut juga <strong>skor standar<\/strong> , <strong>statistik Z<\/strong> , atau <strong>nilai Z.<\/strong><\/p>\n<p> Skor Z suatu nilai sangat berguna dalam pengujian hipotesis untuk menghitung batas interval kepercayaan dan daerah penolakan hipotesis nol. <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Lihat:<\/strong> <a href=\"https:\/\/statorials.org\/id\/interval-kepercayaan\/\">Apa yang dimaksud dengan interval kepercayaan dalam statistik?<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-puntuacion-z\"><\/span> Rumus skor Z<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Skor Z sama dengan selisih antara nilai dan rata-rata kumpulan data dibagi dengan standar deviasi.<\/strong> Oleh karena itu, untuk mencari skor Z, Anda harus mengurangkan nilai mean terlebih dahulu, lalu membagi hasilnya dengan simpangan baku.<\/p>\n<p> Singkatnya, <strong>rumus Z-score<\/strong> adalah:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-d95c28d27f77d977ff6c9b7fcb1b8480_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z=\\cfrac{X-\\overline{X}}{\\sigma}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"93\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Emas<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0be116875001706f29a24434bd0d91c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"12\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah skor Z,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a84020904813123dc75b89c701025ecd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X_i\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"20\" style=\"vertical-align: -3px;\"><\/p>\n<p> adalah nilai dari mana skor Z dihitung,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5b485d4231dfeb4b50ddf271c3abb0b3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{X}\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"17\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah mean aritmatika dan<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-eaaf379fee5e67946f3fedf5631047b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah deviasi standar atau deviasi tipikal.<\/p>\n<p> Interpretasi nilai Z-score sederhana saja: nilai Z-score menunjukkan jumlah standar deviasi antara suatu nilai dan mean. Oleh karena itu, semakin besar nilai absolut Z-score, maka nilai tersebut akan semakin menyimpang dari mean. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-puntuaciones-z\"><\/span> Contoh skor Z<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Setelah kita melihat definisi skor Z, agar Anda lebih memahami maknanya, pada bagian ini kita melanjutkan untuk menyelesaikan contoh di mana beberapa skor Z dihitung.<\/p>\n<ul>\n<li> Hitung skor Z untuk semua data berikut: 7, 2, 4, 9, 3<\/li>\n<\/ul>\n<p> Pertama, kita perlu mencari mean aritmatika dari data sampel: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-58669a07e461a9747b39102cc4775733_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{X}=\\cfrac{7+2+4+9+3}{5}=5\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"204\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Lihat:<\/strong> <a href=\"https:\/\/statorials.org\/id\/rata-rata-aritmatika\/\">Bagaimana cara menghitung mean aritmatika?<\/a><\/div>\n<p class=\"has-text-align-left\"> Kedua, kami menghitung deviasi standar dari rangkaian data: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-bdd7b3d503cf74ee9d40e048c42f4310_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma=2,61\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"68\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Lihat:<\/strong> <a href=\"https:\/\/statorials.org\/id\/simpangan-baku-atau-simpangan-baku\/\">Kalkulator deviasi standar<\/a><\/div>\n<p> Dan terakhir, kami menerapkan rumus Z-score untuk setiap data dan menghitung semua Z-score: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-d95c28d27f77d977ff6c9b7fcb1b8480_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z=\\cfrac{X-\\overline{X}}{\\sigma}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"93\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-9cc8368486f111e58b19371371764247_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z_1=\\cfrac{7-5}{2,61}=0,77\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"142\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-1a83d919634eb30117f8486f2aeb353e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z_2=\\cfrac{7-2}{2,61}=1,92\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"141\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-2b97295bd9d968df0fc0f94f5591cd52_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z_3=\\cfrac{7-4}{2,61}=1,15\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"141\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-bc52b9731711b52ca7053a4dff1f5859_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z_4=\\cfrac{7-9}{2,61}=-0,77\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"156\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-95a1a2a8d573a0da47be3dbb719dc9f7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z_5=\\cfrac{7-3}{2,61}=1,53\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"142\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"la-puntuacion-z-y-la-regla-empirica\"><\/span> Skor Z dan aturan praktisnya<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <span style=\"text-decoration: underline;\">Dalam kasus dimana sebaran sampel berdistribusi normal<\/span> , berkat aturan empiris, kita dapat dengan cepat mengetahui berapa persentase nilai yang sesuai dengan suatu nilai dengan menghitung skor Z-nya. <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Lihat:<\/strong> <a href=\"https:\/\/statorials.org\/id\/distribusi-normal\/\">Apa yang dimaksud dengan distribusi normal?<\/a><\/div>\n<p> Jadi, aturan praktisnya menyatakan bahwa dalam setiap distribusi normal, hal berikut ini benar:<\/p>\n<ul>\n<li> 68% nilainya berada dalam satu standar deviasi mean.<\/li>\n<li> 95% nilainya berada dalam dua standar deviasi mean.<\/li>\n<li> 99,7% nilainya berada dalam tiga standar deviasi mean.<\/li>\n<\/ul>\n<p> Oleh karena itu, jika distribusinya normal, kita dapat menyimpulkan aturan praktis berikut:<\/p>\n<ul>\n<li> Jika skor Z kurang dari 1, nilainya berada di 68% nilai teratas.<\/li>\n<li> Jika skor Z lebih besar dari 1 tetapi kurang dari 2, maka nilainya berada pada 95% nilai teratas.<\/li>\n<li> Jika skor Z lebih besar dari 2 tetapi kurang dari 3, maka nilai tersebut berada di antara nilai 99,7%.<\/li>\n<\/ul>\n<p> Anda dapat melihat nilai lebih lanjut dari aturan praktis pada tabel berikut: <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Lihat:<\/strong> <a href=\"https:\/\/statorials.org\/id\/aturan-praktis\/\">Tabel Nilai Aturan Praktis<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedades-de-las-puntuaciones-z\"><\/span> Properti skor-Z<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Skor Z memiliki properti berikut:<\/p>\n<ul>\n<li> Rata-rata aritmatika dari semua skor Z selalu 0.<\/li>\n<li> Simpangan baku skor Z adalah 1.<\/li>\n<li> Skor Z tidak berdimensi, karena satuan pembilangnya hilang dengan satuan penyebutnya.<\/li>\n<li> Jika Z score positif berarti nilainya lebih besar dari mean sampel. Sebaliknya jika Z score negatif berarti nilainya lebih rendah dari mean sampel.<\/li>\n<li> Skor Z sangat berguna untuk membandingkan distribusi yang berbeda.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Artikel ini menjelaskan apa itu skor Z dalam statistik. Anda juga akan mempelajari cara menghitung Z-score suatu saham, contoh cara menghitungnya, dan apa saja ciri-ciri Z-score. Berapa skor Z? Z-score , atau Z-score , adalah skor statistik yang menunjukkan berapa banyak standar deviasi suatu nilai dari mean. Untuk menghitung skor Z suatu nilai, Anda mengurangi [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[14],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Skor Z (statistik)<\/title>\n<meta name=\"description\" content=\"Di sini Anda akan menemukan apa itu Z score dalam statistik, cara menghitungnya (rumus), contoh perhitungannya dan ciri-ciri Z score.\" \/>\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\/skor-z\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 Skor Z (statistik)\" \/>\n<meta property=\"og:description\" content=\"Di sini Anda akan menemukan apa itu Z score dalam statistik, cara menghitungnya (rumus), contoh perhitungannya dan ciri-ciri Z score.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/skor-z\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-03T12:41:07+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-d95c28d27f77d977ff6c9b7fcb1b8480_l3.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\/skor-z\/\",\"url\":\"https:\/\/statorials.org\/id\/skor-z\/\",\"name\":\"\u25b7 Skor Z (statistik)\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-08-03T12:41:07+00:00\",\"dateModified\":\"2023-08-03T12:41:07+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Di sini Anda akan menemukan apa itu Z score dalam statistik, cara menghitungnya (rumus), contoh perhitungannya dan ciri-ciri Z score.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/skor-z\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/skor-z\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/skor-z\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Skor-z\"}]},{\"@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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