{"id":145,"date":"2023-08-04T23:57:34","date_gmt":"2023-08-04T23:57:34","guid":{"rendered":"https:\/\/statorials.org\/id\/pengukuran-bentuk\/"},"modified":"2023-08-04T23:57:34","modified_gmt":"2023-08-04T23:57:34","slug":"pengukuran-bentuk","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/pengukuran-bentuk\/","title":{"rendered":"Pengukuran bentuk"},"content":{"rendered":"<p>Artikel ini menjelaskan apa itu pengukuran bentuk. Jadi, Anda akan mempelajari kegunaan metrik bentuk, bagaimana metrik bentuk diinterpretasikan, dan bagaimana jenis metrik statistik ini dihitung. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-son-las-medidas-de-forma\"><\/span> Apa yang dimaksud dengan pengukuran bentuk?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Dalam statistik, <strong>ukuran bentuk<\/strong> adalah indikator yang memungkinkan kita menggambarkan distribusi probabilitas menurut bentuknya. Artinya, ukuran bentuk digunakan untuk menentukan seperti apa suatu distribusi tanpa perlu membuat grafiknya.<\/p>\n<p> Ada dua jenis pengukuran bentuk: skewness dan kurtosis. Skewness menunjukkan seberapa simetris suatu distribusi, sedangkan kurtosis menunjukkan seberapa terkonsentrasi suatu distribusi di sekitar meannya. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcuales-son-las-medidas-de-forma\"><\/span> Apa pengukuran bentuknya?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Mempertimbangkan definisi ukuran bentuk, bagian ini menunjukkan apa saja jenis parameter statistik tersebut.<\/p>\n<p> Dalam statistik, kita membedakan dua ukuran bentuk:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:10px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Skewness<\/strong> : Menunjukkan apakah suatu distribusi simetris atau asimetris.<\/span><\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\"><strong>Kurtosis<\/strong> \u2013 Menunjukkan apakah suatu distribusi curam atau datar.<\/span><\/li>\n<\/ul>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"asimetria\"><\/span> Asimetri<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> Ada tiga <strong>jenis asimetri<\/strong> :<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Asimetri positif<\/strong> : Distribusi mempunyai nilai yang lebih berbeda di sebelah kanan mean daripada di sebelah kirinya.<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Simetri<\/strong> : Distribusi mempunyai jumlah nilai yang sama di sebelah kiri mean dan di sebelah kanan mean.<\/span><\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\"><strong>Kecondongan negatif<\/strong> : Distribusi mempunyai nilai yang lebih berbeda di sebelah kiri mean daripada di sebelah kanannya.<\/span> <\/li>\n<\/ul>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/statistiques-types-dasymetrie.png\" alt=\"jenis asimetri\" class=\"wp-image-2983\" width=\"648\" height=\"196\" srcset=\"\" sizes=\"\"><\/figure>\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"coeficiente-de-asimetria\"><\/span> koefisien asimetri<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p> <strong>Koefisien kemiringan<\/strong> , atau <strong>indeks asimetri<\/strong> , adalah koefisien statistik yang membantu menentukan asimetri suatu distribusi. Jadi, dengan menghitung koefisien asimetri, jenis asimetri distribusi dapat diketahui tanpa harus membuat representasi grafisnya.<\/p>\n<p> Meskipun ada rumus berbeda untuk menghitung koefisien asimetri, dan kita akan melihat semuanya di bawah, apa pun rumus yang digunakan, interpretasi koefisien asimetri selalu dilakukan sebagai berikut: <\/p>\n<div style=\"padding-top: 23px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 20px; border: 2.5px dashed #FF8A05; border-radius:20px;\">\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Jika koefisien skewness bernilai positif, maka distribusinya bersifat <strong>skewed positif<\/strong> .<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Jika koefisien skewness sama dengan nol, maka distribusinya <strong>simetris<\/strong> .<\/span><\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\">Jika koefisien skewness negatif, maka distribusinya <strong>miring negatif<\/strong> .<\/span><\/li>\n<\/ul>\n<\/div>\n<h5 class=\"wp-block-heading\"> Koefisien asimetri Fisher<\/h5>\n<p> Koefisien skewness Fisher sama dengan momen ketiga terhadap mean dibagi dengan deviasi standar sampel. Oleh karena itu, <strong>rumus koefisien asimetri Fisher<\/strong> adalah:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-224ee5bd016c7e0dd70260d2e9d40c9f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\gamma_1=\\frac{\\mu_3}{\\sigma^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"61\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Dengan cara yang sama, salah satu dari dua rumus berikut dapat digunakan untuk menghitung koefisien Fisher:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-17fec004daa41a09c4ec2990d4dcc374_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\gamma_1=\\frac{\\displaystyle \\sum_{i=1}^N\\left(x_i-\\mu\\right)^3}{N\\cdot \\sigma ^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"73\" width=\"141\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-92f7c8482d520258f24cc0166d898d1e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\gamma_1=\\frac{\\operatorname{E}[X^3] - 3\\mu\\sigma^2 - \\mu^3}{\\sigma^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"188\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Emas<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-638a7387bd72763290cc777a9b509c38_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"E\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah ekspektasi matematis,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-05d9eae892416bd34247a25207f8b718_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"11\" style=\"vertical-align: -4px;\"><\/p>\n<p> mean aritmatika,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-eaaf379fee5e67946f3fedf5631047b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> simpangan baku dan<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-7354bae77b50b7d1faed3e8ea7a3511a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"N\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"><\/p>\n<p> jumlah total data.<\/p>\n<p> Sedangkan jika datanya dikelompokkan dapat menggunakan rumus berikut:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5c26470126d254018437efec48228b8d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\gamma_1=\\frac{\\displaystyle \\sum_{i=1}^N\\left(x_i-\\mu\\right)^3\\cdot f_i}{N\\cdot \\sigma ^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"73\" width=\"167\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Dimana dalam hal ini<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-dad27a9703483183e1afd245f5232b83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<p> Itu adalah tanda kelas dan<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-fcb89ec1b112c79bfb56f1c210f6bb67_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f_i\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"14\" style=\"vertical-align: -4px;\"><\/p>\n<p> frekuensi absolut kursus.<\/p>\n<h5 class=\"wp-block-heading\"> Koefisien asimetri Pearson<\/h5>\n<p> Koefisien skewness Pearson sama dengan selisih antara mean sampel dan modus dibagi dengan deviasi standarnya (atau deviasi standar). Oleh karena itu, <strong>rumus koefisien asimetri Pearson<\/strong> adalah sebagai berikut:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-c8f46cbf70a6a496ac36355ebfd70827_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A_p=\\cfrac{\\mu-Mo}{\\sigma}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"108\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Emas<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-605ba5e37ad8f2e92b2248f02c3a090f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A_p\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"20\" style=\"vertical-align: -6px;\"><\/p>\n<p> adalah koefisien Pearson,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-05d9eae892416bd34247a25207f8b718_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"11\" style=\"vertical-align: -4px;\"><\/p>\n<p> mean aritmatika,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-56c0033b7da6d7997aeec99c3967c421_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Mo\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"28\" style=\"vertical-align: 0px;\"><\/p>\n<p> mode dan<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-eaaf379fee5e67946f3fedf5631047b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> deviasi standar.<\/p>\n<p> Perlu diingat bahwa koefisien skewness Pearson hanya dapat dihitung jika distribusinya unimodal, yaitu jika hanya terdapat satu mode dalam data.<\/p>\n<h5 class=\"wp-block-heading\"> Koefisien asimetri Bowley<\/h5>\n<p> <strong>Koefisien skewness Bowley<\/strong> sama dengan jumlah kuartil ketiga ditambah kuartil pertama dikurangi dua kali median dibagi selisih antara kuartil ketiga dan kuartil pertama. Oleh karena itu rumus koefisien asimetri ini adalah sebagai berikut:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-24abc41ba1a786517a247ed5fa9c3b62_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A_B=\\cfrac{Q_3+Q_1-2\\cdot Me}{Q_3-Q_1}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"187\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> Emas<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-2744445ab7dd299c95ac769e920ad8c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q_1\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"20\" style=\"vertical-align: -4px;\"><\/p>\n<p> Dan<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-cbf298d83b612ef6bc223927f80f4431_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q_3\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"21\" style=\"vertical-align: -4px;\"><\/p>\n<p> masing-masing adalah kuartil pertama dan ketiga dan<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-bf2deabe8920b42ebbefee4f63393db1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Me\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"27\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah median distribusi.<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"curtosis\"><\/span> Perataan<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>Kurtosis<\/strong> , juga disebut <strong>skewness<\/strong> , menunjukkan seberapa terkonsentrasi suatu distribusi di sekitar meannya. Dengan kata lain, kurtosis menunjukkan apakah suatu distribusi curam atau datar. Secara khusus, semakin besar kurtosis suatu distribusi, semakin curam (atau tajam) distribusi tersebut. <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/aplatissement-statistique.png\" alt=\"menyanjung\" class=\"wp-image-3063\" width=\"346\" height=\"225\" srcset=\"\" sizes=\"\"><\/figure>\n<p> Ada tiga <strong>jenis sanjungan<\/strong> :<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Leptokurtik<\/strong> : distribusinya sangat runcing, artinya data terkonsentrasi kuat di sekitar mean. Lebih tepatnya distribusi leptokurtik diartikan sebagai distribusi yang lebih tajam dibandingkan distribusi normal.<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Mesokurtik<\/strong> : Kurtosis distribusi setara dengan kurtosis distribusi normal. Oleh karena itu, ia dianggap tidak runcing atau rata.<\/span><\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\"><strong>Platicurtic<\/strong> : distribusinya sangat merata, artinya konsentrasi di sekitar meannya rendah. Secara formal, distribusi platikurtik diartikan sebagai distribusi yang lebih datar dari distribusi normal.<\/span><\/li>\n<\/ul>\n<p> Perhatikan bahwa berbagai jenis kurtosis didefinisikan dengan mengambil kurtosis berdistribusi normal sebagai referensi. <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/types-daplatissement.png\" alt=\"jenis menyanjung\" class=\"wp-image-3045\" width=\"742\" height=\"188\" srcset=\"\" sizes=\"\"><\/figure>\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"coeficiente-de-curtosis\"><\/span> Koefisien perataan<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p> <strong>Rumus koefisien kurtosis<\/strong> adalah sebagai berikut:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-90817c2e65eaadd93ca788fd87067144_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle g_2=\\frac{1}{N}\\cdot\\frac{\\displaystyle \\sum_{i=1}^N(x_i-\\mu)^4}{\\sigma^4}-3\" title=\"Rendered by QuickLaTeX.com\" height=\"73\" width=\"202\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Rumus koefisien kurtosis untuk <strong>data yang dikelompokkan dalam tabel frekuensi<\/strong> :<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-d7d2fd2426582c6ec35fab553a2922be_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle g_2=\\frac{1}{N}\\cdot\\frac{\\displaystyle \\sum_{i=1}^N f_i\\cdot(x_i-\\mu)^4}{\\sigma^4}-3\" title=\"Rendered by QuickLaTeX.com\" height=\"73\" width=\"232\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Terakhir, rumus koefisien kurtosis untuk <strong>data yang dikelompokkan ke dalam interval<\/strong> :<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-46118fdded8bfd0f49b423b704893f96_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle g_2=\\frac{1}{N}\\cdot\\frac{\\displaystyle \\sum_{i=1}^N f_i\\cdot(c_i-\\mu)^4}{\\sigma^4}-3\" title=\"Rendered by QuickLaTeX.com\" height=\"73\" width=\"230\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Emas: <\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-056a86612914d05ca2e8e22994a8ac69_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g_2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"15\" style=\"vertical-align: -4px;\"><\/p>\n<p> adalah koefisien kurtosis.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-7354bae77b50b7d1faed3e8ea7a3511a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"N\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah jumlah total data.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-dad27a9703483183e1afd245f5232b83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<p> adalah data ke-i dalam rangkaian tersebut.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-05d9eae892416bd34247a25207f8b718_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"11\" style=\"vertical-align: -4px;\"><\/p>\n<p> adalah mean aritmatika dari distribusi.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-eaaf379fee5e67946f3fedf5631047b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah deviasi standar (atau deviasi tipikal) dari distribusi.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-fcb89ec1b112c79bfb56f1c210f6bb67_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f_i\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"14\" style=\"vertical-align: -4px;\"><\/p>\n<p> adalah frekuensi absolut dari kumpulan datanya.<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-1f20a6892ce371ba90592748cd2c20ff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"13\" style=\"vertical-align: -3px;\"><\/p>\n<p> adalah tanda kelas dari kelompok ke-i.<\/li>\n<\/ul>\n<p> Perhatikan bahwa dalam semua rumus koefisien kurtosis, 3 dikurangkan karena merupakan nilai kurtosis dari distribusi normal. Dengan demikian, perhitungan koefisien kurtosis dilakukan dengan mengambil acuan kurtosis berdistribusi normal. Inilah sebabnya terkadang dalam statistik dikatakan bahwa <strong>kurtosis berlebihan<\/strong> diperhitungkan.<\/p>\n<p> Setelah koefisien kurtosis dihitung, maka harus diinterpretasikan sebagai berikut untuk mengetahui jenis kurtosisnya: <\/p>\n<div style=\"padding-top: 23px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 20px; border: 2.5px dashed #FF8A05; border-radius:20px;\">\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Jika koefisien kurtosis positif berarti distribusinya <strong>leptokurtik<\/strong> .<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Jika koefisien kurtosis sama dengan nol berarti distribusinya bersifat <strong>mesokurtik<\/strong> .<\/span><\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\">Jika koefisien kurtosis bernilai negatif berarti distribusinya bersifat <strong>platikurtik<\/strong> .<\/span> <\/li>\n<\/ul>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"otros-tipos-de-medidas-estadisticas\"><\/span> Jenis ukuran statistik lainnya<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Anda mungkin juga tertarik dengan salah satu ukuran statistik berikut, klik salah satu ukuran tersebut untuk melihat ukuran statistik tersebut dan cara penghitungannya.<\/p>\n<ul>\n<li> <a href=\"https:\/\/statorials.org\/id\/ukuran-tendensi-sentral\/\">Langkah-langkah sentralisasi<\/a><\/li>\n<li> <a href=\"https:\/\/statorials.org\/id\/pengukuran-posisi\/\">Pengukuran posisi<\/a><\/li>\n<li> <a href=\"https:\/\/statorials.org\/id\/pengukuran-dispersi\/\">Pengukuran dispersi<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Artikel ini menjelaskan apa itu pengukuran bentuk. Jadi, Anda akan mempelajari kegunaan metrik bentuk, bagaimana metrik bentuk diinterpretasikan, dan bagaimana jenis metrik statistik ini dihitung. Apa yang dimaksud dengan pengukuran bentuk? Dalam statistik, ukuran bentuk adalah indikator yang memungkinkan kita menggambarkan distribusi probabilitas menurut bentuknya. Artinya, ukuran bentuk digunakan untuk menentukan seperti apa suatu distribusi [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[14],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Pengukuran kebugaran (statistik)<\/title>\n<meta name=\"description\" content=\"Di sini Anda akan mengetahui apa itu pengukuran bentuk, apa itu pengukuran bentuk, kegunaannya dan cara menghitungnya (rumus).\" \/>\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\/pengukuran-bentuk\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 Pengukuran kebugaran (statistik)\" \/>\n<meta property=\"og:description\" content=\"Di sini Anda akan mengetahui apa itu pengukuran bentuk, apa itu pengukuran bentuk, kegunaannya dan cara menghitungnya (rumus).\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/pengukuran-bentuk\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-04T23:57:34+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/statistiques-types-dasymetrie.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=\"4 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/id\/pengukuran-bentuk\/\",\"url\":\"https:\/\/statorials.org\/id\/pengukuran-bentuk\/\",\"name\":\"\u25b7 Pengukuran kebugaran (statistik)\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-08-04T23:57:34+00:00\",\"dateModified\":\"2023-08-04T23:57:34+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Di sini Anda akan mengetahui apa itu pengukuran bentuk, apa itu pengukuran bentuk, kegunaannya dan cara menghitungnya (rumus).\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/pengukuran-bentuk\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/pengukuran-bentuk\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/pengukuran-bentuk\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Pengukuran bentuk\"}]},{\"@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. Dengan pengalaman dan keahlian yang luas di bidang statistika, saya ingin berbagi ilmu untuk memberdayakan mahasiswa melalui Statorials. Baca selengkapnya\",\"sameAs\":[\"http:\/\/statorials.org\/id\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u25b7 Pengukuran kebugaran (statistik)","description":"Di sini Anda akan mengetahui apa itu pengukuran bentuk, apa itu pengukuran bentuk, kegunaannya dan cara menghitungnya (rumus).","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/statorials.org\/id\/pengukuran-bentuk\/","og_locale":"id_ID","og_type":"article","og_title":"\u25b7 Pengukuran kebugaran (statistik)","og_description":"Di sini Anda akan mengetahui apa itu pengukuran bentuk, apa itu pengukuran bentuk, kegunaannya dan cara menghitungnya (rumus).","og_url":"https:\/\/statorials.org\/id\/pengukuran-bentuk\/","og_site_name":"Statorials","article_published_time":"2023-08-04T23:57:34+00:00","og_image":[{"url":"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/statistiques-types-dasymetrie.png"}],"author":"Benjamin anderson","twitter_card":"summary_large_image","twitter_misc":{"Ditulis oleh":"Benjamin anderson","Estimasi waktu membaca":"4 menit"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/statorials.org\/id\/pengukuran-bentuk\/","url":"https:\/\/statorials.org\/id\/pengukuran-bentuk\/","name":"\u25b7 Pengukuran kebugaran (statistik)","isPartOf":{"@id":"https:\/\/statorials.org\/id\/#website"},"datePublished":"2023-08-04T23:57:34+00:00","dateModified":"2023-08-04T23:57:34+00:00","author":{"@id":"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81"},"description":"Di sini Anda akan mengetahui apa itu pengukuran bentuk, apa itu pengukuran bentuk, kegunaannya dan cara menghitungnya (rumus).","breadcrumb":{"@id":"https:\/\/statorials.org\/id\/pengukuran-bentuk\/#breadcrumb"},"inLanguage":"id","potentialAction":[{"@type":"ReadAction","target":["https:\/\/statorials.org\/id\/pengukuran-bentuk\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/statorials.org\/id\/pengukuran-bentuk\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/statorials.org\/id\/"},{"@type":"ListItem","position":2,"name":"Pengukuran bentuk"}]},{"@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. Dengan pengalaman dan keahlian yang luas di bidang statistika, saya ingin berbagi ilmu untuk memberdayakan mahasiswa melalui Statorials. Baca selengkapnya","sameAs":["http:\/\/statorials.org\/id"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/posts\/145"}],"collection":[{"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/comments?post=145"}],"version-history":[{"count":0,"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/posts\/145\/revisions"}],"wp:attachment":[{"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/media?parent=145"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/categories?post=145"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/tags?post=145"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}