{"id":719,"date":"2023-07-29T00:03:29","date_gmt":"2023-07-29T00:03:29","guid":{"rendered":"https:\/\/statorials.org\/id\/teorema-chebyshev-unggul\/"},"modified":"2023-07-29T00:03:29","modified_gmt":"2023-07-29T00:03:29","slug":"teorema-chebyshev-unggul","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/teorema-chebyshev-unggul\/","title":{"rendered":"Bagaimana menerapkan teorema chebyshev di excel"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Teorema Chebyshev<\/strong> menyatakan bahwa untuk bilangan apa pun k yang lebih besar dari 1, setidaknya <strong>1 \u2013 1\/k <sup>2<\/sup><\/strong> dari nilai data dalam setiap distribusi terlatih terletak dalam k standar deviasi dari mean.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Misalnya, untuk distribusi berbentuk apa pun, setidaknya 1 \u2013 1\/3 <sup>2<\/sup> = 88,89% nilai dalam distribusi akan berada dalam 3 standar deviasi mean.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Tutorial ini menunjukkan beberapa contoh penerapan teorema Chebyshev di Excel.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Contoh 1: Gunakan teorema Chebyshev untuk menentukan berapa persentase nilai yang berada antara 30 dan 70 untuk kumpulan data dengan rata-rata 50 dan deviasi standar 10.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Pertama, tentukan nilai k. Kita dapat melakukannya dengan menentukan berapa standar deviasi antara 30 dan 70 dari mean:<\/span><\/p>\n<p> <span style=\"color: #000000;\">(30 \u2013 mean) \/ simpangan baku = (30 \u2013 50) \/ 10 = -20 \/ 10 = <strong>-2<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">(70 \u2013 mean) \/ simpangan baku = (70 \u2013 50) \/ 10 = 20\/10 = <strong>2<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Nilai 30 dan 70 masing-masing merupakan 2 standar deviasi di bawah dan di atas mean. Jadi, <strong>k = 2<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Kita kemudian dapat menggunakan rumus berikut di Excel untuk menemukan persentase minimum nilai yang berada dalam 2 standar deviasi dari mean kumpulan data ini:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-7210\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/chebexcel1.png\" alt=\"Contoh teorema Chebyshev di Excel\" width=\"511\" height=\"277\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Persentase nilai antara 30 dan 70 untuk kumpulan data ini <strong>setidaknya 75%<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Contoh 2: Gunakan teorema Chebyshev untuk menentukan berapa persentase nilai yang berada antara 20 dan 50 untuk kumpulan data dengan rata-rata 35 dan deviasi standar 5.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Pertama, tentukan nilai k. Kita dapat melakukannya dengan menentukan berapa standar deviasi antara 20 dan 50 dari mean:<\/span><\/p>\n<p> <span style=\"color: #000000;\">(20 \u2013 mean) \/ simpangan baku = (20 \u2013 35) \/ 5 = -15 \/ 5 = <strong>-3<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">(50 \u2013 mean) \/ simpangan baku = (50 \u2013 35) \/ 5 = 15 \/ 5 = <strong>3<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Nilai 20 dan 50 masing-masing merupakan 3 standar deviasi di bawah dan di atas mean. Jadi, <strong>k = 3<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Kita kemudian dapat menggunakan rumus berikut di Excel untuk menemukan persentase minimum nilai yang berada dalam 3 standar deviasi dari mean kumpulan data ini:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-7214 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/chebexcel2.png\" alt=\"Contoh teorema Chebyshev di Excel\" width=\"512\" height=\"276\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Persentase nilai antara 20 dan 50 untuk kumpulan data ini <strong>setidaknya 88,89%<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Contoh 3: Gunakan teorema Chebyshev untuk menentukan berapa persentase nilai yang berada antara 80 dan 120 untuk kumpulan data dengan rata-rata 100 dan deviasi standar 5.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Pertama, tentukan nilai k. Kita dapat melakukannya dengan menentukan berapa standar deviasi antara 80 dan 120 dari mean:<\/span><\/p>\n<p> <span style=\"color: #000000;\">(80 \u2013 mean) \/ simpangan baku = (80 \u2013 100) \/ 5 = -20 \/ 5 = <strong>-4<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">(120 \u2013 mean) \/ simpangan baku = (120 \u2013 100) \/ 5 = 20 \/ 5 = <strong>4<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Nilai 80 dan 120 masing-masing merupakan 4 standar deviasi di bawah dan di atas mean. Jadi, <strong>k = 4<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Kita kemudian dapat menggunakan rumus berikut di Excel untuk menemukan persentase minimum nilai yang berada dalam 4 standar deviasi dari mean kumpulan data ini:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-7215 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/chebexcel3.png\" alt=\"Contoh penghitungan teorema Chebyshev di Excel\" width=\"510\" height=\"272\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Persentase nilai antara 80 dan 120 untuk kumpulan data ini <strong>setidaknya adalah 93,75%<\/strong> .<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Teorema Chebyshev menyatakan bahwa untuk bilangan apa pun k yang lebih besar dari 1, setidaknya 1 \u2013 1\/k 2 dari nilai data dalam setiap distribusi terlatih terletak dalam k standar deviasi dari mean. Misalnya, untuk distribusi berbentuk apa pun, setidaknya 1 \u2013 1\/3 2 = 88,89% nilai dalam distribusi akan berada dalam 3 standar deviasi [&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 menerapkan teorema Chebyshev di Excel \u2013 Statologi<\/title>\n<meta name=\"description\" content=\"Penjelasan sederhana tentang cara menerapkan teorema Chebyshev di Excel, termasuk 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\/teorema-chebyshev-unggul\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Cara menerapkan teorema Chebyshev di Excel \u2013 Statologi\" \/>\n<meta property=\"og:description\" content=\"Penjelasan sederhana tentang cara menerapkan teorema Chebyshev di Excel, termasuk beberapa contoh.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/teorema-chebyshev-unggul\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-29T00:03:29+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/chebexcel1.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\/teorema-chebyshev-unggul\/\",\"url\":\"https:\/\/statorials.org\/id\/teorema-chebyshev-unggul\/\",\"name\":\"Cara menerapkan teorema Chebyshev di Excel \u2013 Statologi\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-29T00:03:29+00:00\",\"dateModified\":\"2023-07-29T00:03:29+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Penjelasan sederhana tentang cara menerapkan teorema Chebyshev di Excel, termasuk beberapa contoh.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/teorema-chebyshev-unggul\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/teorema-chebyshev-unggul\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/teorema-chebyshev-unggul\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Bagaimana menerapkan teorema chebyshev di excel\"}]},{\"@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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