{"id":81424,"date":"2022-11-22T13:00:38","date_gmt":"2022-11-22T06:00:38","guid":{"rendered":"https:\/\/superapp.id\/blog\/?p=81424"},"modified":"2022-11-22T09:01:04","modified_gmt":"2022-11-22T02:01:04","slug":"simpangan-rata-rata-21-11-22-azm","status":"publish","type":"post","link":"https:\/\/superapp.id\/blog\/uncategorized\/simpangan-rata-rata-21-11-22-azm\/","title":{"rendered":"Rumus Simpangan Rata Rata Beserta Pengertian &#038; Contohnya"},"content":{"rendered":"<p><span style=\"color: #000000;\">Rumus simpangan rata rata merupakan rumus yang ditemui dalam ilmu statistika. Dalam perhitungan ukuran penyebaran data, termasuk untuk analisis data deskriptif, rumus ini sangat dibutuhkan. Ukuran penyebaran data bertujuan untuk melihat seberapa besar penyimpangan data-data statistik. Dalam sistem perhitungan global, biasanya rumus ini dikenal dengan nama <em>deviasi mean<\/em>.<\/span><\/p>\n<p><span style=\"color: #000000;\">Ukuran penyebaran dibutuhkan untuk menguji reabilitas rata-rata pada kumpulan statistik. Rumus simpangan rata rata, merupakan salah satu dari enak cama menentukan ukuran penyebaran data statistik. <\/span><span style=\"color: #000000;\">Agar lebih memahaminya, yuk mari kita simak terlebih dahulu pengertian dari simpangan rata-rata terlebih dahulu.<\/span><\/p>\n<p><strong>BACA JUGA: <a href=\"https:\/\/superapp.id\/blog\/uncategorized\/energi-potensial-adalah-03-11-22-azm\/\">Energi Potensial adalah: Pengertian, Jenis dan Rumusnya<\/a><\/strong><\/p>\n<h2><span style=\"color: #000000;\"><strong>Pengertian simpangan rata-rata<\/strong><\/span><\/h2>\n<figure style=\"width: 1190px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/awsimages.detik.net.id\/community\/media\/visual\/2020\/05\/01\/ee3ee29b-29e5-40bd-8699-a7df823aa2e3_169.jpeg?w=1200\" alt=\"rumus simpangan rata rata\" width=\"1200\" height=\"676\" \/><figcaption class=\"wp-caption-text\">Detik<\/figcaption><\/figure>\n<p><span style=\"color: #000000;\">Nilai simpangan rata-rata adalah jumlah semua nilai mutlak simpangan dibagi dengan banyaknya data. Simpangan rata-rata dibagi menjadi dua yaitu rata-rata data tunggal dan data berkelompok. <\/span><span style=\"color: #000000;\">Simpangan rata-rata atau juga dikenal dengan <em>deviasi mean <\/em>merupakan nilai rata-rata dari selisih setiap data dengan nilai <em>mean<\/em> atau rataan hitungnya.<\/span><\/p>\n<p><span style=\"color: #000000;\">D<em>eviasi mean <\/em>sering dilambangkan dengan SR. Ragam atau variasi adalah nilai yang menunjukkan besarnya penyebaran data pada kelompok data.<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>Rumus\u00a0simpangan rata rata<\/strong><\/span><\/h2>\n<figure style=\"width: 300px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/encrypted-tbn0.gstatic.com\/images?q=tbn:ANd9GcSVwghj5rIsox-3khaSOq4HPPQUALejFo9MXCCkqEexYhlqlIcbmE9PqZtJWKiFCbXouPM&amp;usqp=CAU\" alt=\"\" width=\"310\" height=\"163\" \/><figcaption class=\"wp-caption-text\">Quipper<\/figcaption><\/figure>\n<p><span style=\"color: #000000;\">Berikut ini adalah rumus dari <em>deviasi mean<\/em>, yaitu:<\/span><\/p>\n<p><span style=\"color: #000000;\"><em>SR<\/em>=<em>n<\/em>1\u200bi=1\u2211<em>n<\/em>\u200b\u2223<em>x<\/em><em>i<\/em>\u200b\u2212<em>x<\/em>\u02c9\u2223,<\/span><\/p>\n<p><span style=\"color: #000000;\">Keterangannya yaitu Sekumpulan data kuantitatif yang tidak dikelompokkan serta dinyatakan oleh x1, x2, \u2026, xn. Dari data tersebut dapat ditentukanlah simpangan rata-rata atau <em>deviasi mean<\/em> (SR).<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>Rumus simpangan dari data tunggal<\/strong><\/span><\/h2>\n<figure id=\"attachment_81425\" aria-describedby=\"caption-attachment-81425\" style=\"width: 518px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-81425\" src=\"https:\/\/superapp.id\/blog\/wp-content\/uploads\/2022\/11\/Screenshot-2022-11-22-060853.jpg\" alt=\"rumus simpangan rata rata\" width=\"528\" height=\"331\" \/><figcaption id=\"caption-attachment-81425\" class=\"wp-caption-text\">Rumus Statistik<\/figcaption><\/figure>\n<p><span style=\"color: #000000;\">Selain rumus di atas, terdapat juga rumsu dari data tungguk atau variasi lainnya. Rumusnya sebagaimana yang dapat dilihat dalam gambar di atas. Adapun keterangan dari rumus di atas yaitu:<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">x{i} = nilai data ke-i<\/span><\/li>\n<li><span style=\"color: #000000;\">{x} = rata-rata<\/span><\/li>\n<li><span style=\"color: #000000;\">n = jumlah seluruh frekuensi<\/span><\/li>\n<\/ul>\n<h2><span style=\"color: #000000;\"><strong>Rumus simpangan dari data berkelompok<\/strong><\/span><\/h2>\n<figure id=\"attachment_81426\" aria-describedby=\"caption-attachment-81426\" style=\"width: 590px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-81426\" src=\"https:\/\/superapp.id\/blog\/wp-content\/uploads\/2022\/11\/Screenshot-2022-11-22-060934.jpg\" alt=\"\" width=\"600\" height=\"309\" \/><figcaption id=\"caption-attachment-81426\" class=\"wp-caption-text\">Rumus Statistik<\/figcaption><\/figure>\n<p><span style=\"color: #000000;\">Selain dua rumus di atas, terdapat juga rumus simpangan dari data berkelompok. Rumusnya bisa Sedulur lihat pada gambar di atas, dengan keterangan sebagai berikut ini:<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">n = jumlah seluruh frekuensi<\/span><\/li>\n<li><span style=\"color: #000000;\">f{i} = frekuensi kelas ke-i<\/span><\/li>\n<li><span style=\"color: #000000;\">x{i} = nilai tengah kelas ke-i<\/span><\/li>\n<li><span style=\"color: #000000;\">{x} = rata-rata<\/span><\/li>\n<li><span style=\"color: #000000;\">k = banyaknya kelas interval<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\"><strong>BACA JUGA: <a href=\"https:\/\/superapp.id\/blog\/uncategorized\/menghitung-skala-peta-18-11-22-cla\/\">Cara Menghitung Skala Peta Beserta Rumus &amp; Contoh Soalnya<\/a><\/strong><\/span><\/p>\n<h2><span style=\"color: #000000;\">Contoh soal 1<\/span><\/h2>\n<p><span style=\"color: #000000;\">Untuk memudahkan Sedulur memahami rumus ini, berikut contoh soal pertama yang bisa Sedulur pahami. Diberikan data sebagai berikut:<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">5, 6, 8, 5, 7<\/span><\/li>\n<li><span style=\"color: #000000;\">Tentukan nilai S<sub>R<\/sub>\u00a0data di atas!<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\"><strong>Pembahasan:<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">Langkah awal terlebih dulu temukan rata-rata datanya:<img loading=\"lazy\" decoding=\"async\" class=\"entered lazyloaded aligncenter wp-image-2796\" src=\"https:\/\/kabarkan.com\/wp-content\/uploads\/2019\/04\/gambar-49.png\" alt=\"simpangan-rata-rata\" width=\"300\" height=\"169\" data-lazy-src=\"https:\/\/kabarkan.com\/wp-content\/uploads\/2019\/04\/gambar-49.png\" data-ll-status=\"loaded\" \/>Setelah diketahui rata-ratanya, saatnya mencari S<sub>R<\/sub>:<\/span><\/p>\n<figure id=\"attachment_2794\" class=\"wp-caption aligncenter\" aria-describedby=\"caption-attachment-2794\"><span style=\"color: #000000;\"><a style=\"color: #000000;\" href=\"https:\/\/kabarkan.com\/wp-content\/uploads\/2019\/04\/gambar-47.png\" data-wpel-link=\"internal\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-2794 size-full entered lazyloaded\" src=\"https:\/\/kabarkan.com\/wp-content\/uploads\/2019\/04\/gambar-47.png\" alt=\".simpangan-rata-rata\" width=\"316\" height=\"62\" data-lazy-src=\"https:\/\/kabarkan.com\/wp-content\/uploads\/2019\/04\/gambar-47.png\" data-ll-status=\"loaded\" \/><\/a><span style=\"font-size: 16px;\">.<\/span><\/span><\/figure>\n<p><span style=\"color: #000000;\">Sehingga nilainya, yaitu:\u00a0<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">SR = | 5-6,2|+|6-6,2|+8 -6,2|+ |5 -6,2|+|7 -6,2| \/ 5<\/span><\/li>\n<li><span style=\"color: #000000;\">SR = 1,2 +0,2 +1,8 +1,2 +0,8\/5 = 5,2\/5 =1,04<\/span><\/li>\n<\/ul>\n<h2>Contoh soal 2<\/h2>\n<p>Perhatikan tabel distribusi frekuensi data dibawah ini<\/p>\n<table border=\"1\" cellpadding=\"5\">\n<tbody>\n<tr>\n<td><strong>Nilai<\/strong><\/td>\n<td><strong>Frekuensi<\/strong><\/td>\n<\/tr>\n<tr>\n<td>11 \u2013 15<br \/>\n16 \u2013 20<br \/>\n21 \u2013 25<br \/>\n26 \u2013 30<br \/>\n31 \u2013 35<\/td>\n<td>2<br \/>\n2<br \/>\n10<br \/>\n9<br \/>\n4<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Tentukan nilai S<sub>R<\/sub> data di atas<\/p>\n<p><strong>Pembahasan:<\/strong><\/p>\n<p>Temukan terlebih dulu\u00a0<strong>titik tengah<\/strong>\u00a0setiap kelas, untuk kemudian dicari reratanya:<\/p>\n<table border=\"1\" cellpadding=\"5\">\n<tbody>\n<tr>\n<td><strong>Nilai<\/strong><\/td>\n<td><strong>Frekuensi<\/strong><\/td>\n<td><strong>x<\/strong><\/td>\n<\/tr>\n<tr>\n<td>11 \u2013 15<br \/>\n16 \u2013 20<br \/>\n21 \u2013 25<br \/>\n26 \u2013 30<br \/>\n31 \u2013 35<\/td>\n<td>2<br \/>\n2<br \/>\n10<br \/>\n9<br \/>\n4<\/td>\n<td><strong>13<\/strong><br \/>\n<strong>18<\/strong><br \/>\n<strong>23<\/strong><br \/>\n<strong>28<\/strong><br \/>\n<strong>33<\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Rata-ratanya adalah:<\/p>\n<figure id=\"attachment_2791\" class=\"wp-caption aligncenter\" aria-describedby=\"caption-attachment-2791\"><a href=\"https:\/\/kabarkan.com\/wp-content\/uploads\/2019\/04\/gambar-44.png\" data-wpel-link=\"internal\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-2791 size-full entered lazyloaded\" src=\"https:\/\/kabarkan.com\/wp-content\/uploads\/2019\/04\/gambar-44.png\" alt=\"simpangan-rata-rata\" width=\"430\" height=\"58\" data-lazy-src=\"https:\/\/kabarkan.com\/wp-content\/uploads\/2019\/04\/gambar-44.png\" data-ll-status=\"loaded\" \/><\/a><\/figure>\n<h2>Contoh soal 3<\/h2>\n<p>Hitunglah S<sub>R<\/sub>\u00a0dari data kuantitatif berikut :12, 3, 11, 3, 4, 7, 5, 11<\/p>\n<p><strong>Pembahasan:<\/strong><\/p>\n<p>Maka, nilai <span style=\"color: #000000;\"><em>deviasi mean <\/em>adalah<\/span>\u00a03,25.<\/p>\n<p>Pada suatu sekumpulan data bisa dinyatakan oleh x<sub>1<\/sub>, x<sub>2<\/sub>, \u2026, x<sub>n<\/sub>\u00a0kemudian masing-masing nilai data tersebut mempunyai frekuensi f<sub>1<\/sub>\u00a0, f<sub>2<\/sub>\u00a0, \u2026, f<sub>n\u00a0<\/sub> maka diperolehlah nilai <span style=\"color: #000000;\"><em>deviasi mean<\/em><\/span> (S<sub>R<\/sub>) dengan menggunakan rumus di atas.<\/p>\n<p><span style=\"color: #000000;\"><div class=\"rltdpstsplgn-related-post-block\"><h4 class=\"rltdpstsplgn-related-title\"><\/h4><p>No related posts found...<\/p><\/div><\/span><\/p>\n<p><span style=\"color: #000000;\">Nah itulah penjelasan terkait rumus simpangan rata rata yang bisa Sedulur pahami. Semoga penjelasan di atas membantu Sedulur untuk memahami rumus dan perhitungan statistik satu ini.<\/span><\/p>\n<p><span style=\"color: #000000;\"><em>Mau belanja bulanan nggak pakai ribet? <strong>Aplikasi Super<\/strong> solusinya! Mulai dari sembako hingga kebutuhan rumah tangga tersedia lengkap. Selain harganya murah, Sedulur juga bisa merasakan kemudahan belanja lewat handphone. Nggak perlu keluar rumah, belanjaan pun langsung diantar.<\/em><\/span><\/p>\n<p><span style=\"color: #000000;\"><em>Bagi Sedulur yang punya toko kelontong atau warung, bisa juga lho belanja grosir atau kulakan lewat <strong>Aplikasi Super<\/strong>. Harga dijamin lebih murah dan bikin untung makin melimpah.<\/em><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":13,"featured_media":81428,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[11640,11639],"class_list":["post-81424","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-uncategorized","tag-rumus-simpangan-rata-rata","tag-simpangan-rata-rata"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v19.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Rumus Simpangan Rata Rata Beserta Pengertian &amp; Contohnya<\/title>\n<meta name=\"description\" content=\"Simpangan rata-rata merupakan salah satu cara menentukan ukuran penyebaran data. 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