{"id":557,"date":"2023-07-29T12:36:57","date_gmt":"2023-07-29T12:36:57","guid":{"rendered":"https:\/\/statorials.org\/id\/skor-z-bisa-negatif\/"},"modified":"2023-07-29T12:36:57","modified_gmt":"2023-07-29T12:36:57","slug":"skor-z-bisa-negatif","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/skor-z-bisa-negatif\/","title":{"rendered":"Bisakah z-score menjadi negatif?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Dalam statistik,<\/span> <span style=\"color: #000000;\"><strong>skor-z<\/strong> memberi tahu kita berapa banyak standar deviasi suatu nilai dari <a href=\"https:\/\/statorials.org\/id\/mengukur-tendensi-sentral\/\" target=\"_blank\" rel=\"noopener\">mean<\/a> . Kami menggunakan rumus berikut untuk menghitung skor-z:<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>z<\/strong> = (X \u2013 \u03bc) \/ \u03c3<\/span><\/p>\n<p> <span style=\"color: #000000;\">dimana X adalah nilai yang kita analisis, \u03bc adalah mean dan \u03c3 adalah standar deviasi.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Skor z bisa positif, negatif, atau nol.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Skor z yang positif menunjukkan bahwa suatu nilai tertentu berada di atas rata-rata, skor z yang negatif menunjukkan bahwa suatu nilai tertentu berada di bawah rata-rata, dan skor az yang nol menunjukkan bahwa suatu nilai tertentu sama dengan rata-rata.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Beberapa contoh akan memperjelas hal ini.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Contoh: Menghitung skor Z<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Katakanlah kita memiliki kumpulan data berikut yang menunjukkan tinggi (dalam inci) sekelompok tanaman tertentu:<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\">5, 7, 7, 8, 9, 10, 13, 17, 17, 18, 19, 19, 20<\/span><\/p>\n<p> <span style=\"color: #000000;\">Rata-rata sampel kumpulan data ini adalah <strong>13<\/strong> dan deviasi standar sampel adalah <strong>5,51<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. Temukan skor-z untuk nilai \u201c8\u201d dalam kumpulan data ini.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Berikut cara menghitung z-score:<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>z<\/strong> = (X \u2013 \u03bc) \/ \u03c3 = (8 \u2013 13) \/ 5,51 = <strong>-0,91<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Artinya nilai \u201c8\u201d adalah 0,91 standar deviasi <em>lebih rendah<\/em> dari mean.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. Temukan skor-z untuk nilai \u201c13\u201d dalam kumpulan data ini.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Berikut cara menghitung z-score:<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>z<\/strong> = (X \u2013 \u03bc) \/ \u03c3 = (13 \u2013 13) \/ 5,46 = <strong>0<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Artinya nilai \u201c13\u201d sama persis dengan rata-rata.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3. Temukan skor-z untuk nilai \u201c20\u201d dalam kumpulan data ini.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Berikut cara menghitung z-score:<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>z<\/strong> = (X \u2013 \u03bc) \/ \u03c3 = (20 \u2013 13) \/ 5,46 = <strong>1,28<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Artinya nilai \u201c20\u201d berada 1,28 standar deviasi <em>di atas<\/em> mean.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Bagaimana menafsirkan skor Z<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Bagan AZ memberi tahu kita berapa persentase nilai yang berada di bawah skor Z tertentu. Beberapa contoh akan memperjelas hal ini.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Contoh 1: Skor Z negatif<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Sebelumnya, kami menemukan bahwa nilai mentah &#8220;8&#8221; dalam kumpulan data kami memiliki skor-z <strong>-0,91<\/strong> . Berdasarkan tabel Z, 18,14% nilainya lebih rendah dari nilai ini.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-4973 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/zscorenegatif1.jpg\" alt=\"Contoh skor z negatif\" width=\"630\" height=\"522\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Contoh 2: Z-Score sama dengan nol<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Sebelumnya, kami menemukan bahwa nilai mentah &#8220;13&#8221; dalam kumpulan data kami memiliki skor-z <strong>0<\/strong> . Menurut tabel Z, 50,00% nilainya kurang dari nilai ini.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-4974 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/zscorenegatif2.jpg\" alt=\"Skor Z sama dengan nol\" width=\"632\" height=\"348\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Contoh 3: Skor Z positif<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Sebelumnya, kami menemukan bahwa nilai mentah &#8220;20&#8221; dalam kumpulan data kami memiliki skor-z <strong>1,28<\/strong> . Berdasarkan tabel Z, 89,97% nilainya lebih rendah dari nilai tersebut.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-4975 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/zscorenegatif3.jpg\" alt=\"Contoh skor z positif\" width=\"631\" height=\"428\" srcset=\"\" sizes=\"\"><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Kesimpulan<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Skor Z dapat mengambil nilai apa pun antara tak terhingga negatif dan tak terhingga positif, namun sebagian besar skor z berada dalam 2 standar deviasi dari mean. Sebenarnya ada aturan dalam statistik yang dikenal sebagai <a href=\"https:\/\/statorials.org\/id\/aturan-praktis-masalah-empiris\/\" target=\"_blank\" rel=\"noopener\">aturan praktis<\/a> , yang menyatakan bahwa untuk kumpulan data tertentu yang berdistribusi normal:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><b>68%<\/b> nilai data berada dalam satu standar deviasi mean.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><b>95%<\/b> nilai data berada dalam dua standar deviasi dari mean.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><b>99,7%<\/b> nilai data berada dalam tiga standar deviasi mean.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Semakin tinggi nilai absolut skor-z, semakin jauh nilai mentahnya dari rata-rata kumpulan data. Semakin rendah nilai absolut skor-z, semakin dekat nilai mentahnya dengan rata-rata kumpulan data.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Topik-topik terkait:<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/id\/aturan-praktis-kalkulator\/\" target=\"_blank\" rel=\"noopener\">Aturan Kalkulator Jempol<\/a><br \/> <a href=\"https:\/\/statorials.org\/id\/aturan-praktis-excel\/\">Bagaimana menerapkan aturan praktis di Excel<\/a><br \/><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dalam statistik, skor-z memberi tahu kita berapa banyak standar deviasi suatu nilai dari mean . Kami menggunakan rumus berikut untuk menghitung skor-z: z = (X \u2013 \u03bc) \/ \u03c3 dimana X adalah nilai yang kita analisis, \u03bc adalah mean dan \u03c3 adalah standar deviasi. Skor z bisa positif, negatif, atau nol. Skor z yang positif [&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>Bisakah Z-Score menjadi negatif? - Statorial<\/title>\n<meta name=\"description\" content=\"Penjelasan mengapa skor az bisa negatif, serta cara menafsirkan skor z negatif.\" \/>\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-bisa-negatif\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Bisakah Z-Score menjadi negatif? - Statorial\" \/>\n<meta property=\"og:description\" content=\"Penjelasan mengapa skor az bisa negatif, serta cara menafsirkan skor z negatif.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/skor-z-bisa-negatif\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-29T12:36:57+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/zscorenegatif1.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\/skor-z-bisa-negatif\/\",\"url\":\"https:\/\/statorials.org\/id\/skor-z-bisa-negatif\/\",\"name\":\"Bisakah Z-Score menjadi negatif? - Statorial\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-29T12:36:57+00:00\",\"dateModified\":\"2023-07-29T12:36:57+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Penjelasan mengapa skor az bisa negatif, serta cara menafsirkan skor z negatif.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/skor-z-bisa-negatif\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/skor-z-bisa-negatif\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/skor-z-bisa-negatif\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Bisakah z-score menjadi 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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