{"id":2177,"date":"2023-07-23T09:23:03","date_gmt":"2023-07-23T09:23:03","guid":{"rendered":"https:\/\/statorials.org\/id\/varians-sampel-relatif-terhadap-varians-populasi\/"},"modified":"2023-07-23T09:23:03","modified_gmt":"2023-07-23T09:23:03","slug":"varians-sampel-relatif-terhadap-varians-populasi","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/varians-sampel-relatif-terhadap-varians-populasi\/","title":{"rendered":"Varians sampel vs. varians populasi: apa bedanya?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Varians<\/strong> adalah cara untuk mengukur sebaran nilai dalam suatu kumpulan data.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Rumus untuk menghitung <strong>varians populasi<\/strong> adalah:<\/span><\/p>\n<p style=\"text-align: left;\"> <span style=\"color: #000000;\"><strong>\u03c3 <sup>2<\/sup><\/strong> = \u03a3 ( <sub>xi<\/sub> \u2013 \u03bc) <sup>2<\/sup> \/ 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>\u03bc<\/strong> : Rata-rata populasi<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>x <sub>i<\/sub><\/strong> : Elemen ke- <sup>i<\/sup> dari populasi<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>N<\/strong> : Ukuran populasi<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Rumus untuk menghitung <strong>varians sampel<\/strong> adalah:<\/span><\/p>\n<p style=\"text-align: left;\"> <span style=\"color: #000000;\"><strong>s <sup>2<\/sup><\/strong> = \u03a3 ( <sub>xi<\/sub> \u2013 <span style=\"text-decoration: overline;\">x<\/span> ) <sup>2<\/sup> \/ (n-1)<\/span><\/p>\n<p> <span style=\"color: #000000;\">Emas:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong><span style=\"text-decoration: overline;\">x<\/span><\/strong> : mean sampel<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>x <sub>i<\/sub><\/strong> : Elemen ke- <sup>i<\/sup> dari 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 bahwa hanya ada sedikit perbedaan antara kedua rumus tersebut:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Saat kita menghitung varians populasi, kita membaginya dengan <strong>N<\/strong> (ukuran populasi).<\/span><\/p>\n<p> <span style=\"color: #000000;\">Saat kami menghitung varians sampel, kami membaginya dengan <strong>n-1<\/strong> (ukuran sampel \u2013 1).<\/span><\/p>\n<p> <span style=\"color: #000000;\">Saat menghitung varians sampel, kami menerapkan apa yang disebut <a href=\"https:\/\/en.wikipedia.org\/wiki\/Bessel%27s_correction\" target=\"_blank\" rel=\"noopener\">koreksi Bessel<\/a> , yang melibatkan pembagian dengan n-1.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Tanpa terjebak dalam rincian matematis, pembagian dengan n-1 mungkin terbukti memberikan perkiraan varians populasi yang tidak bias, yang merupakan nilai yang biasanya kita minati.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Kapan menghitung varians sampel versus varians populasi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Jika Anda tidak yakin apakah akan menghitung varians sampel atau varians populasi, ingatlah aturan umum ini:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Anda harus menghitung <strong>varians sampel<\/strong> ketika kumpulan data yang Anda gunakan mewakili sampel yang diambil dari populasi yang lebih besar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Anda harus menghitung <strong>varians populasi<\/strong> ketika kumpulan data yang Anda gunakan mewakili seluruh populasi, yaitu setiap nilai yang Anda minati.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Contoh berikut menunjukkan skenario berbeda untuk menghitung varians sampel versus varians populasi.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Contoh: Menghitung Varians Sampel<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Misalkan seorang ahli botani ingin menghitung variasi tinggi suatu spesies tumbuhan tertentu. Karena terdapat ribuan tanaman di suatu area, dia memutuskan untuk mengambil sampel acak sederhana yang terdiri dari 20 tanaman dan mengukur tinggi masing-masing tanaman.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-20106 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/popsamp1.png\" alt=\"\" width=\"407\" height=\"401\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Dalam skenario ini, ahli botani harus menghitung <strong>varians sampel<\/strong> karena ia tertarik pada varians seluruh populasi tanaman namun hanya menggunakan sampel ini untuk memperkirakan varians populasi sebenarnya.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Contoh: menghitung varians populasi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Misalkan seorang guru ingin menghitung varians nilai ujian 20 siswa di kelasnya.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-20107 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/varsamp.png\" alt=\"\" width=\"63\" height=\"360\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Dalam skenario ini, guru harus menghitung <strong>varians populasi<\/strong> , karena kumpulan data yang dia kerjakan (20 hasil ujian) mewakili seluruh populasi yang diminati.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Sumber daya tambahan<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Tutorial berikut menjelaskan cara menghitung varians sampel dan varians populasi dalam perangkat lunak statistik yang berbeda:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/id\/varians-populasi-sampel-unggul\/\" target=\"_blank\" rel=\"noopener\">Cara Menghitung Varians Sampel dan Populasi di Excel<\/a><br \/> <a href=\"https:\/\/statorials.org\/id\/varians-di-r\/\" target=\"_blank\" rel=\"noopener\">Cara menghitung varians sampel dan populasi di R<\/a><br \/> <a href=\"https:\/\/statorials.org\/id\/sampel-varian-populasi-python\/\" target=\"_blank\" rel=\"noopener\">Cara menghitung varians sampel dan populasi dengan Python<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Varians adalah cara untuk mengukur sebaran nilai dalam suatu kumpulan data. Rumus untuk menghitung varians populasi adalah: \u03c3 2 = \u03a3 ( xi \u2013 \u03bc) 2 \/ N Emas: \u03a3 : Simbol yang berarti \u201cjumlah\u201d \u03bc : Rata-rata populasi x i : Elemen ke- i dari populasi N : Ukuran populasi Rumus untuk menghitung varians [&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>Varians sampel dan varians populasi: apa bedanya? - Statologi<\/title>\n<meta name=\"description\" content=\"Tutorial ini menjelaskan perbedaan antara varians sampel dan varians populasi, serta kapan menggunakannya.\" \/>\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\/varians-sampel-relatif-terhadap-varians-populasi\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Varians sampel dan varians populasi: apa bedanya? - Statologi\" \/>\n<meta property=\"og:description\" content=\"Tutorial ini menjelaskan perbedaan antara varians sampel dan varians populasi, serta kapan menggunakannya.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/varians-sampel-relatif-terhadap-varians-populasi\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-23T09:23:03+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/popsamp1.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=\"2 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/id\/varians-sampel-relatif-terhadap-varians-populasi\/\",\"url\":\"https:\/\/statorials.org\/id\/varians-sampel-relatif-terhadap-varians-populasi\/\",\"name\":\"Varians sampel dan varians populasi: apa bedanya? - Statologi\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-23T09:23:03+00:00\",\"dateModified\":\"2023-07-23T09:23:03+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Tutorial ini menjelaskan perbedaan antara varians sampel dan varians populasi, serta kapan menggunakannya.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/varians-sampel-relatif-terhadap-varians-populasi\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/varians-sampel-relatif-terhadap-varians-populasi\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/varians-sampel-relatif-terhadap-varians-populasi\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Varians sampel vs. varians populasi: apa bedanya?\"}]},{\"@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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