{"id":3579,"date":"2023-07-16T17:47:16","date_gmt":"2023-07-16T17:47:16","guid":{"rendered":"https:\/\/statorials.org\/id\/deviasi-standar-hubungan-rata-rata\/"},"modified":"2023-07-16T17:47:16","modified_gmt":"2023-07-16T17:47:16","slug":"deviasi-standar-hubungan-rata-rata","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/deviasi-standar-hubungan-rata-rata\/","title":{"rendered":"Hubungan antara mean &amp; deviasi standar (dengan contoh)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Mean<\/strong> mewakili nilai rata-rata dalam sekumpulan data.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ini dihitung sebagai berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Rata-rata sampel = \u03a3x <sub>i<\/sub> \/ n<\/span><\/p>\n<p> <span style=\"color: #000000;\">Emas:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u03a3:<\/strong> Simbol yang berarti \u201cjumlah\u201d<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>x <sub>i<\/sub> :<\/strong> Pengamatan ke- <sup>i<\/sup> dalam suatu kumpulan data<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> jumlah total observasi dalam kumpulan data<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Deviasi standar<\/strong> mewakili distribusi nilai dalam kumpulan data relatif terhadap mean.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ini dihitung sebagai berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Simpangan baku sampel = \u221a <span style=\"border-top: 1px solid black;\">\u03a3( <sub>xi<\/sub> \u2013 x <sub>batang<\/sub> ) <sup>2<\/sup> \/ (n-1)<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\">Emas:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u03a3:<\/strong> Simbol yang berarti \u201cjumlah\u201d<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>x <sub>i<\/sub> :<\/strong> nilai <sup>ke-i<\/sup> dari sampel<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>x <sub>bar<\/sub> :<\/strong> Arti sampel<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> Ukuran sampel<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Perhatikan hubungan antara mean dan deviasi standar: <strong>mean digunakan dalam rumus untuk menghitung deviasi standar<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Faktanya, kita tidak dapat menghitung simpangan baku suatu sampel kecuali kita mengetahui mean sampelnya.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Contoh berikut menunjukkan cara menghitung mean sampel dan deviasi standar sampel untuk kumpulan data dalam praktiknya.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Contoh: Menghitung Mean dan Deviasi Standar untuk Kumpulan Data<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Katakanlah kita memiliki kumpulan data berikut yang menunjukkan poin yang dicetak oleh 10 pemain bola basket berbeda:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-29550 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/rel1.jpg\" alt=\"\" width=\"166\" height=\"324\" srcset=\"\" sizes=\"\"> <span style=\"color: #000000;\">Kita dapat menghitung rata-rata sampel poin yang dicetak menggunakan rumus berikut:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Rata-rata sampel = \u03a3x <sub>i<\/sub> \/ n<\/span><\/li>\n<li> <span style=\"color: #000000;\">Rata-rata sampel = (22+14+15+18+19+8+9+34+30+7) \/ 10<\/span><\/li>\n<li> <span style=\"color: #000000;\">Rata-rata sampel = 17,6<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Rata-rata sampel poin yang dicetak adalah <strong>17,6<\/strong> . Ini mewakili jumlah rata-rata poin yang dicetak di antara semua pemain.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Setelah kita mengetahui mean sampel, kita dapat memasukkannya ke dalam rumus untuk menghitung deviasi standar sampel:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Simpangan baku sampel = \u221a <span style=\"border-top: 1px solid black;\">\u03a3( <sub>xi<\/sub> \u2013 x <sub>batang<\/sub> ) <sup>2<\/sup> \/ (n-1)<\/span><\/span><\/li>\n<li> <span style=\"color: #000000;\"><span style=\"border-top: 1px solid black;\">Simpangan baku sampel = \u221a ((22-17.6) <sup>2<\/sup> + (14-17.6) <sup>2<\/sup> + (15-17.6) <sup>2<\/sup> + (18-17.6) <sup>2<\/sup> + (19-17.6) 6) <sup>2<\/sup> + (8-17.6) <sup>2<\/sup> + (9 -17.6) <sup>2<\/sup> + (34-17.6) <sup>2<\/sup> + (30-17.6) <sup>2<\/sup> + (7-17.6) <sup>2<\/sup> ) \/ (10-1)<\/span><\/span><\/li>\n<li> <span style=\"color: #000000;\">Simpangan baku sampel = 9,08<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Simpangan baku sampel adalah <strong>9,08<\/strong> . Ini mewakili jarak rata-rata antara setiap nilai titik dan rata-rata titik sampel.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Mengetahui mean dan deviasi standar suatu kumpulan data bermanfaat karena setiap metrik memberi tahu kita sesuatu yang berbeda.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Rata-rata<\/strong> memberi kita gambaran di mana letak nilai \u201cpusat\u201d suatu kumpulan data.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Deviasi standar<\/strong> memberi kita gambaran tentang distribusi nilai di sekitar mean dalam suatu kumpulan data. Semakin tinggi nilai standar deviasi, maka semakin tersebar nilai-nilai tersebut dalam suatu sampel.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Dengan mengetahui kedua nilai tersebut, kita bisa belajar banyak tentang sebaran nilai dalam suatu kumpulan data.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Sumber daya tambahan<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Tutorial berikut memberikan informasi tambahan tentang mean dan deviasi standar:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/id\/pentingnya-rata-rata\/\" target=\"_blank\" rel=\"noopener\">Mengapa rata-rata penting dalam statistik?<\/a><br \/> <a href=\"https:\/\/statorials.org\/id\/mengapa-standar-deviasi-itu-penting\/\" target=\"_blank\" rel=\"noopener\">Mengapa deviasi standar penting dalam statistik?<\/a><br \/> <a href=\"https:\/\/statorials.org\/id\/mean-dan-deviasi-standar-di-excel\/\" target=\"_blank\" rel=\"noopener\">Cara Menghitung Mean dan Deviasi Standar di Excel<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Mean mewakili nilai rata-rata dalam sekumpulan data. Ini dihitung sebagai berikut: Rata-rata sampel = \u03a3x i \/ n Emas: \u03a3: Simbol yang berarti \u201cjumlah\u201d x i : Pengamatan ke- i dalam suatu kumpulan data n: jumlah total observasi dalam kumpulan data Deviasi standar mewakili distribusi nilai dalam kumpulan data relatif terhadap mean. Ini dihitung sebagai [&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>Hubungan Antara Mean dan Deviasi Standar (dengan Contoh) - Statorial<\/title>\n<meta name=\"description\" content=\"Tutorial ini menjelaskan hubungan antara mean dan deviasi standar suatu kumpulan data, beserta 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\/deviasi-standar-hubungan-rata-rata\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Hubungan Antara Mean dan Deviasi Standar (dengan Contoh) - Statorial\" \/>\n<meta property=\"og:description\" content=\"Tutorial ini menjelaskan hubungan antara mean dan deviasi standar suatu kumpulan data, beserta contohnya.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/deviasi-standar-hubungan-rata-rata\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-16T17:47:16+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/rel1.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=\"2 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/id\/deviasi-standar-hubungan-rata-rata\/\",\"url\":\"https:\/\/statorials.org\/id\/deviasi-standar-hubungan-rata-rata\/\",\"name\":\"Hubungan Antara Mean dan Deviasi Standar (dengan Contoh) - Statorial\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-16T17:47:16+00:00\",\"dateModified\":\"2023-07-16T17:47:16+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Tutorial ini menjelaskan hubungan antara mean dan deviasi standar suatu kumpulan data, beserta contohnya.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/deviasi-standar-hubungan-rata-rata\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/deviasi-standar-hubungan-rata-rata\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/deviasi-standar-hubungan-rata-rata\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Hubungan antara mean &amp; deviasi standar (dengan 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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