{"id":1513,"date":"2023-07-26T02:11:43","date_gmt":"2023-07-26T02:11:43","guid":{"rendered":"https:\/\/statorials.org\/id\/variansnya-bisa-negatif\/"},"modified":"2023-07-26T02:11:43","modified_gmt":"2023-07-26T02:11:43","slug":"variansnya-bisa-negatif","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/variansnya-bisa-negatif\/","title":{"rendered":"Apakah variansnya bisa negatif?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Dalam statistik, istilah <strong>varians<\/strong> mengacu pada bagaimana nilai didistribusikan dalam kumpulan data tertentu.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Pertanyaan umum yang ditanyakan siswa tentang varians adalah:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em>Apakah variansnya bisa negatif?<\/em><\/span><\/p>\n<p> <span style=\"color: #000000;\">Jawabannya: <strong>Tidak, variansnya tidak boleh negatif.<\/strong> Nilai terendah yang dapat diambil adalah nol.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Untuk memahami mengapa hal ini terjadi, kita perlu memahami bagaimana varians sebenarnya dihitung.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Cara menghitung kesenjangan<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Rumus untuk mencari varians suatu sampel (dilambangkan <strong>s <sup>2<\/sup><\/strong> ) adalah:<\/span><\/p>\n<p style=\"text-align: center;\"> <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> : Maksud sampel<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>x <sub>i<\/sub><\/strong> : Pengamatan <sup>ke-i<\/sup> dalam sampel<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>N<\/strong> : Ukuran sampel<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u03a3<\/strong> : Simbol Yunani yang berarti \u201cjumlah\u201d<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Misalnya, kita memiliki kumpulan data berikut dengan 10 nilai:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-15008 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/varparmain1.png\" alt=\"\" width=\"77\" height=\"276\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Kita dapat menggunakan langkah-langkah berikut untuk menghitung varians sampel ini:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Langkah 1: Temukan Rata-Ratanya<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Rata-rata hanyalah rata-rata. Ini ternyata <strong>14.7<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Langkah 2: Temukan deviasi kuadrat<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Kemudian kita dapat menghitung deviasi kuadrat masing-masing nilai dari mean.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Misalnya, deviasi kuadrat pertama dihitung sebagai (6-14.7) <sup>2<\/sup> = 75.69.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-15009 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/varparmain2.png\" alt=\"\" width=\"156\" height=\"290\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Langkah 3: Temukan jumlah simpangan kuadrat<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Kemudian kita dapat menjumlahkan semua kuadrat simpangannya:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-15010 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/varparmain3.png\" alt=\"\" width=\"155\" height=\"320\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Langkah 4: Hitung varians sampel<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Terakhir, kita dapat menghitung varians sampel sebagai jumlah deviasi kuadrat dibagi (n-1):<\/span><\/p>\n<p> <span style=\"color: #000000;\">s <sup>2<\/sup> = 330,1 \/ (10-1) = 330,1 \/ 9 = 36,678<\/span><\/p>\n<p> <span style=\"color: #000000;\">Varians sampelnya ternyata <strong>36.678<\/strong> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Contoh varian nol<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Satu-satunya cara agar suatu dataset memiliki varian nol adalah jika <strong>semua nilai dalam dataset tersebut sama<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Misalnya, kumpulan data berikut memiliki varian sampel nol:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-15011\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/varparmain4.png\" alt=\"Contoh kumpulan data dengan varian nol\" width=\"85\" height=\"300\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Rata-rata kumpulan data adalah 15 dan tidak ada satu pun nilai individual yang menyimpang dari rata-rata. Jadi, jumlah kuadrat deviasinya akan menjadi nol dan varians sampelnya akan menjadi nol.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Bisakah deviasi standar menjadi negatif?<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Cara yang lebih umum untuk mengukur distribusi nilai dalam kumpulan data adalah dengan menggunakan deviasi standar, yang merupakan akar kuadrat dari varians.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Misalnya, jika varians suatu sampel adalah <sup>s2<\/sup> = <strong>36,678<\/strong> , maka simpangan baku (ditulis <em>s<\/em> ) dihitung sebagai berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\">s = \u221a <span style=\"border-top: 1px solid black;\"><sup>s2<\/sup><\/span> = \u221a <span style=\"border-top: 1px solid black;\">36,678<\/span> = <strong>6,056<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Karena kita telah mengetahui bahwa variansnya selalu nol atau bilangan positif, artinya <strong>simpangan baku tidak akan pernah negatif karena<\/strong> akar kuadrat dari nol atau bilangan positif tidak boleh negatif.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Sumber daya tambahan<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/id\/mengukur-tendensi-sentral\/\" target=\"_blank\" rel=\"noopener\">Ukuran tendensi sentral: definisi dan contoh<\/a><br \/> Ukuran dispersi: definisi dan contoh<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dalam statistik, istilah varians mengacu pada bagaimana nilai didistribusikan dalam kumpulan data tertentu. Pertanyaan umum yang ditanyakan siswa tentang varians adalah: Apakah variansnya bisa negatif? Jawabannya: Tidak, variansnya tidak boleh negatif. Nilai terendah yang dapat diambil adalah nol. Untuk memahami mengapa hal ini terjadi, kita perlu memahami bagaimana varians sebenarnya dihitung. Cara menghitung kesenjangan Rumus [&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>Apakah variansnya bisa negatif? - Statorial<\/title>\n<meta name=\"description\" content=\"Tutorial ini memberikan penjelasan singkat apakah varians bisa negatif dalam statistik atau tidak.\" \/>\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\/variansnya-bisa-negatif\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Apakah variansnya bisa negatif? - Statorial\" \/>\n<meta property=\"og:description\" content=\"Tutorial ini memberikan penjelasan singkat apakah varians bisa negatif dalam statistik atau tidak.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/variansnya-bisa-negatif\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-26T02:11:43+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/varparmain1.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\/variansnya-bisa-negatif\/\",\"url\":\"https:\/\/statorials.org\/id\/variansnya-bisa-negatif\/\",\"name\":\"Apakah variansnya bisa negatif? - Statorial\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-26T02:11:43+00:00\",\"dateModified\":\"2023-07-26T02:11:43+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Tutorial ini memberikan penjelasan singkat apakah varians bisa negatif dalam statistik atau tidak.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/variansnya-bisa-negatif\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/variansnya-bisa-negatif\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/variansnya-bisa-negatif\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Apakah variansnya bisa negatif?\"}]},{\"@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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