{"id":3509,"date":"2023-07-17T02:49:04","date_gmt":"2023-07-17T02:49:04","guid":{"rendered":"https:\/\/statorials.org\/ar\/%d8%aa%d8%b3%d9%85%d9%8a%d8%a9-%d8%a7%d9%84%d9%82%d9%8a%d9%85-%d8%a7%d9%84%d9%85%d8%aa%d8%b7%d8%b1%d9%81%d8%a9-%d9%81%d9%8a-boxplots-ggplot2\/"},"modified":"2023-07-17T02:49:04","modified_gmt":"2023-07-17T02:49:04","slug":"%d8%aa%d8%b3%d9%85%d9%8a%d8%a9-%d8%a7%d9%84%d9%82%d9%8a%d9%85-%d8%a7%d9%84%d9%85%d8%aa%d8%b7%d8%b1%d9%81%d8%a9-%d9%81%d9%8a-boxplots-ggplot2","status":"publish","type":"post","link":"https:\/\/statorials.org\/ar\/%d8%aa%d8%b3%d9%85%d9%8a%d8%a9-%d8%a7%d9%84%d9%82%d9%8a%d9%85-%d8%a7%d9%84%d9%85%d8%aa%d8%b7%d8%b1%d9%81%d8%a9-%d9%81%d9%8a-boxplots-ggplot2\/","title":{"rendered":"\u0643\u064a\u0641\u064a\u0629 \u062a\u0633\u0645\u064a\u0629 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0645\u062a\u0637\u0631\u0641\u0629 \u0641\u064a boxplots \u0641\u064a ggplot2"},"content":{"rendered":"<p><\/p>\n<hr>\n<p style=\";text-align:right;direction:rtl\"><span style=\"color: #000000;\">\u064a\u0648\u0641\u0631 \u0647\u0630\u0627 \u0627\u0644\u0628\u0631\u0646\u0627\u0645\u062c \u0627\u0644\u062a\u0639\u0644\u064a\u0645\u064a \u0645\u062b\u0627\u0644\u0627\u064b \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u062d\u0648\u0644 \u0643\u064a\u0641\u064a\u0629 \u062a\u0633\u0645\u064a\u0629 <a href=\"https:\/\/statorials.org\/ar\/\u0627\u0655\u0632\u0627\u0644\u0629-\u0627\u0644\u0642\u064a\u0645-\u0627\u0644\u0645\u062a\u0637\u0631\u0641\u0629\/\" target=\"_blank\" rel=\"noopener\">\u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0645\u062a\u0637\u0631\u0641\u0629<\/a> \u0641\u064a boxplots \u0641\u064a ggplot2.<\/span><\/p>\n<h2 style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0627\u0644\u062e\u0637\u0648\u0629 1: \u0625\u0646\u0634\u0627\u0621 \u0625\u0637\u0627\u0631 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a<\/strong><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0623\u0648\u0644\u0627\u064b\u060c \u0644\u0646\u0642\u0645 \u0628\u0625\u0646\u0634\u0627\u0621 \u0625\u0637\u0627\u0631 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a \u0627\u0644\u0630\u064a \u064a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 \u0645\u0639\u0644\u0648\u0645\u0627\u062a \u062d\u0648\u0644 \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u062a\u064a \u0633\u062c\u0644\u0647\u0627 60 \u0644\u0627\u0639\u0628\u064b\u0627 \u0645\u062e\u062a\u0644\u0641\u064b\u0627 \u0644\u0643\u0631\u0629 \u0627\u0644\u0633\u0644\u0629 \u0641\u064a \u062b\u0644\u0627\u062b\u0629 \u0641\u0631\u0642 \u0645\u062e\u062a\u0644\u0641\u0629:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008080;\">#make this example reproducible\n<\/span>set. <span style=\"color: #3366ff;\">seeds<\/span> (1)\n\n<span style=\"color: #008080;\">#create data frame\n<\/span>df &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (team=rep(c('A', 'B', 'C'), each= <span style=\"color: #008000;\">20<\/span> ),\n                 player=rep(LETTERS[1:20], times= <span style=\"color: #008000;\">3<\/span> ),\n                 points=round(rnorm(n=60, mean=30, sd=10), 2))\n\n<span style=\"color: #008080;\">#view head of data frame\n<\/span>head(df)\n\n  team player points\n1 AA 23.74\n2AB 31.84\n3 AC 21.64\n4AD 45.95\n5 AE 33.30\n6 FY 21.80\n<\/strong><\/span><\/pre>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><span style=\"color: #000000;\"><strong>\u0645\u0644\u0627\u062d\u0638\u0629<\/strong> : \u0627\u0633\u062a\u062e\u062f\u0645\u0646\u0627 \u0627\u0644\u062f\u0627\u0644\u0629<a href=\"https:\/\/statorials.org\/ar\/\u062a\u0639\u064a\u064a\u0646-\u0627\u0644\u0628\u0630\u0648\u0631-\u0641\u064a-\u0635\/\" target=\"_blank\" rel=\"noopener\">set.seed()<\/a> \u0644\u0644\u062a\u0623\u0643\u062f \u0645\u0646 \u0623\u0646 \u0647\u0630\u0627 \u0627\u0644\u0645\u062b\u0627\u0644 \u0642\u0627\u0628\u0644 \u0644\u0644\u062a\u0643\u0631\u0627\u0631.<\/span><\/span><\/p>\n<h2 style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0627\u0644\u062e\u0637\u0648\u0629 2: \u062a\u062d\u062f\u064a\u062f \u0648\u0638\u064a\u0641\u0629 \u0644\u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0645\u062a\u0637\u0631\u0641\u0629<\/strong><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0641\u064a ggplot2\u060c \u064a\u062a\u0645 \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u0645\u0644\u0627\u062d\u0638\u0629 \u0639\u0644\u0649 \u0623\u0646\u0647\u0627 \u062d\u0627\u0644\u0629 \u0645\u062a\u0637\u0631\u0641\u0629 \u0625\u0630\u0627 \u0627\u0633\u062a\u0648\u0641\u062a \u0623\u062d\u062f \u0627\u0644\u0634\u0631\u0637\u064a\u0646 \u0627\u0644\u062a\u0627\u0644\u064a\u064a\u0646:<\/span><\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0627\u0644\u0645\u0644\u0627\u062d\u0638\u0629 \u0647\u064a 1.5 \u0645\u0631\u0629 \u0627\u0644\u0646\u0637\u0627\u0642 \u0627\u0644\u0631\u0628\u064a\u0639\u064a \u062a\u062d\u062a \u0627\u0644\u0631\u0628\u0639 \u0627\u0644\u0623\u0648\u0644 (Q1)<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0627\u0644\u0645\u0644\u0627\u062d\u0638\u0629 \u0647\u064a 1.5 \u0645\u0631\u0629 \u0627\u0644\u0646\u0637\u0627\u0642 \u0627\u0644\u0631\u0628\u064a\u0639\u064a \u0641\u0648\u0642 \u0627\u0644\u0631\u0628\u0639 \u0627\u0644\u062b\u0627\u0644\u062b (Q3).<\/span><\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u0645\u0643\u0646\u0646\u0627 \u0625\u0646\u0634\u0627\u0621 \u0627\u0644\u0648\u0638\u064a\u0641\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0641\u064a R \u0644\u062a\u0635\u0646\u064a\u0641 \u0627\u0644\u0645\u0644\u0627\u062d\u0638\u0627\u062a \u0639\u0644\u0649 \u0623\u0646\u0647\u0627 \u0642\u064a\u0645 \u0645\u062a\u0637\u0631\u0641\u0629 \u0625\u0630\u0627 \u0627\u0633\u062a\u0648\u0641\u062a \u0623\u062d\u062f \u0647\u0630\u064a\u0646 \u0627\u0644\u0645\u062a\u0637\u0644\u0628\u064a\u0646:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #993300;\"><span style=\"color: #000000;\">find_outlier &lt;- <span style=\"color: #008000;\">function<\/span> (x) {\n  <span style=\"color: #008000;\">return<\/span> (x &lt; quantile(x, .25) - 1.5*IQR(x) | x &gt; quantile(x, .75) + 1.5*IQR(x))\n}\n<\/span><\/span><\/strong><\/pre>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0630\u0627\u062a \u0635\u0644\u0629:<\/strong> <a href=\"https:\/\/statorials.org\/ar\/\u0643\u064a\u0641\u064a\u0629-\u062a\u0641\u0633\u064a\u0631-\u0627\u0644\u0645\u062f\u0649-\u0627\u0644\u0631\u0628\u064a\u0639\u064a\/\" target=\"_blank\" rel=\"noopener\">\u0643\u064a\u0641\u064a\u0629 \u062a\u0641\u0633\u064a\u0631 \u0627\u0644\u0645\u062f\u0649 \u0627\u0644\u0631\u0628\u064a\u0639\u064a<\/a><\/span><\/p>\n<h2 style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong><span style=\"color: #000000;\">\u0627\u0644\u062e\u0637\u0648\u0629 3: \u0642\u0645 \u0628\u062a\u0633\u0645\u064a\u0629 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0645\u062a\u0637\u0631\u0641\u0629 \u0641\u064a boxplots \u0641\u064a ggplot2<\/span><\/strong><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><span style=\"color: #000000;\">\u062b\u0645 \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0643\u0648\u062f \u0627\u0644\u062a\u0627\u0644\u064a \u0644\u062a\u0633\u0645\u064a\u0629 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0645\u062a\u0637\u0631\u0641\u0629 \u0641\u064a boxplots \u0641\u064a ggplot2:<\/span><\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #993300;\"><span style=\"color: #000000;\"><span style=\"color: #008000;\">library<\/span> (ggplot2)\n<span style=\"color: #008000;\">library<\/span> (dplyr)\n<span style=\"color: #008080;\">\n#add new column to data frame that indicates if each observation is an outlier\n<span style=\"color: #000000;\">df &lt;- df %&gt;%\n        group_by(team) %&gt;%\n        mutate(outlier = ifelse(find_outlier(points), points, NA))<\/span>\n\n#create box plot of points by team and label outliers\n<span style=\"color: #000000;\">ggplot(df, aes(x=team, y=points)) +\n  geom_boxplot() +\n  geom_text(aes(label=outlier), na. <span style=\"color: #3366ff;\">rm<\/span> = <span style=\"color: #008000;\">TRUE<\/span> , hjust= <span style=\"color: #008000;\">-.5<\/span> )<\/span><\/span><\/span><\/span><\/strong> <\/pre>\n<p style=\";text-align:right;direction:rtl\"><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-29209\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/valeur-aberrante1.jpg\" alt=\"\u062a\u0633\u0645\u064a\u0629 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0645\u062a\u0637\u0631\u0641\u0629 \u0641\u064a boxplots \u0641\u064a ggplot2\" width=\"467\" height=\"467\" srcset=\"\" sizes=\"\"><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><span style=\"color: #000000;\">\u0644\u0627\u062d\u0638 \u0623\u0646\u0647 \u062a\u0645 \u062a\u0633\u0645\u064a\u0629 \u0642\u064a\u0645\u062a\u064a\u0646 \u0645\u062a\u0637\u0631\u0641\u062a\u064a\u0646 \u0641\u064a \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a.<\/span><\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0627\u0644\u0623\u0648\u0644 \u0647\u0648 \u0644\u0627\u0639\u0628 \u0645\u0646 \u0627\u0644\u0641\u0631\u064a\u0642 &#8220;\u0623&#8221; \u0627\u0644\u0630\u064a \u0633\u062c\u0644 <strong>7.85<\/strong> \u0646\u0642\u0637\u0629 \u0648\u0627\u0644\u063a\u0631\u064a\u0628 \u0627\u0644\u0622\u062e\u0631 \u0647\u0648 \u0644\u0627\u0639\u0628 \u0645\u0646 \u0627\u0644\u0641\u0631\u064a\u0642 &#8220;\u0628&#8221; \u0627\u0644\u0630\u064a \u0633\u062c\u0644 <strong>10.11<\/strong> \u0646\u0642\u0637\u0629.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0644\u0627\u062d\u0638 \u0623\u0646\u0647 \u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u064a\u0636\u064b\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0645\u062a\u063a\u064a\u0631 \u0645\u062e\u062a\u0644\u0641 \u0644\u062a\u0633\u0645\u064a\u0629 \u0647\u0630\u0647 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0645\u062a\u0637\u0631\u0641\u0629.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u062a\u0628\u062f\u064a\u0644 <strong>\u0646\u0642\u0627\u0637<\/strong> <strong>\u0627\u0644\u0644\u0627\u0639\u0628<\/strong> \u0641\u064a \u0627\u0644\u062f\u0627\u0644\u0629 <strong>mutate()<\/strong> \u200e \u0644\u062a\u0633\u0645\u064a\u0629 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0645\u062a\u0637\u0631\u0641\u0629 \u0628\u0646\u0627\u0621\u064b \u0639\u0644\u0649 \u0627\u0633\u0645 \u0627\u0644\u0644\u0627\u0639\u0628:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #993300;\"><span style=\"color: #000000;\"><span style=\"color: #008000;\">library<\/span> (ggplot2)\n<span style=\"color: #008000;\">library<\/span> (dplyr)\n<span style=\"color: #008080;\">\n#add new column to data frame that indicates if each observation is an outlier\n<span style=\"color: #000000;\">df &lt;- df %&gt;%\n        group_by(team) %&gt;%\n        mutate(outlier = ifelse(find_outlier(points), player, NA))\n\n<span style=\"color: #008080;\">#create box plot of points by team and label outliers\n<\/span>ggplot(df, aes(x=team, y=points)) +\n  geom_boxplot() +\n  geom_text(aes(label=outlier), na. <span style=\"color: #3366ff;\">rm<\/span> = <span style=\"color: #008000;\">TRUE<\/span> , hjust= <span style=\"color: #008000;\">-.5<\/span> )<\/span><\/span><\/span><\/span><\/strong> <\/pre>\n<p style=\";text-align:right;direction:rtl\"><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-29210 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/valeur-aberrante2.jpg\" alt=\"\" width=\"479\" height=\"487\" srcset=\"\" sizes=\"\"><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0623\u0635\u0628\u062d\u062a \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0645\u062a\u0637\u0631\u0641\u0629 \u0644\u0644\u0641\u0631\u064a\u0642 &#8220;\u0623&#8221; \u0627\u0644\u0622\u0646 \u062a\u062d\u0645\u0644 \u0639\u0644\u0627\u0645\u0629 <strong>N<\/strong> \u060c \u0648\u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0645\u062a\u0637\u0631\u0641\u0629 \u0644\u0644\u0641\u0631\u064a\u0642 &#8220;\u0628&#8221; \u062a\u062d\u0645\u0644 \u0627\u0644\u0622\u0646 \u0639\u0644\u0627\u0645\u0629 &#8221; <strong>\u062f&#8221;<\/strong> \u060c \u062d\u064a\u062b \u062a\u0645\u062b\u0644 \u0647\u0630\u0647 \u0623\u0633\u0645\u0627\u0621 \u0627\u0644\u0644\u0627\u0639\u0628\u064a\u0646 \u0627\u0644\u0630\u064a\u0646 \u0644\u062f\u064a\u0647\u0645 \u0642\u064a\u0645 \u0645\u062a\u0637\u0631\u0641\u0629 \u0644\u0644\u0646\u0642\u0627\u0637.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0645\u0644\u0627\u062d\u0638\u0629<\/strong> : \u064a\u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0648\u0633\u064a\u0637\u0629 <a href=\"https:\/\/statorials.org\/ar\/hjust-vjust-ggplot2\/\" target=\"_blank\" rel=\"noopener\">hjust<\/a> \u0641\u064a <strong>Geom_text()<\/strong> \u0644\u062f\u0641\u0639 \u0627\u0644\u062a\u0633\u0645\u064a\u0629 \u0623\u0641\u0642\u064a\u064b\u0627 \u0625\u0644\u0649 \u0627\u0644\u064a\u0645\u064a\u0646 \u0628\u062d\u064a\u062b \u0644\u0627 \u062a\u062a\u062f\u0627\u062e\u0644 \u0645\u0639 \u0646\u0642\u0637\u0629 \u0627\u0644\u0631\u0633\u0645.<\/span><\/p>\n<h2 style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0645\u0635\u0627\u062f\u0631 \u0625\u0636\u0627\u0641\u064a\u0629<\/strong><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u062a\u0634\u0631\u062d \u0627\u0644\u0628\u0631\u0627\u0645\u062c \u0627\u0644\u062a\u0639\u0644\u064a\u0645\u064a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0643\u064a\u0641\u064a\u0629 \u062a\u0646\u0641\u064a\u0630 \u0627\u0644\u0645\u0647\u0627\u0645 \u0627\u0644\u0634\u0627\u0626\u0639\u0629 \u0627\u0644\u0623\u062e\u0631\u0649 \u0641\u064a ggplot2:<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <a href=\"https:\/\/statorials.org\/ar\/\u062d\u062c\u0645-\u0627\u0644\u062e\u0637-ggplot\/\" target=\"_blank\" rel=\"noopener\">\u0643\u064a\u0641\u064a\u0629 \u062a\u063a\u064a\u064a\u0631 \u062d\u062c\u0645 \u0627\u0644\u062e\u0637 \u0641\u064a ggplot2<\/a><br \/> <a href=\"https:\/\/statorials.org\/ar\/\u0627\u0655\u0632\u0627\u0644\u0629-\u0627\u0654\u0633\u0637\u0648\u0631\u0629-ggplot2\/\" target=\"_blank\" rel=\"noopener\">\u0643\u064a\u0641\u064a\u0629 \u0625\u0632\u0627\u0644\u0629 \u0648\u0633\u064a\u0644\u0629 \u0625\u064a\u0636\u0627\u062d \u0641\u064a ggplot2<\/a><br \/> <a href=\"https:\/\/statorials.org\/ar\/\u062a\u062f\u0648\u064a\u0631-\u062a\u0633\u0645\u064a\u0627\u062a-\u0627\u0644\u0645\u062d\u0648\u0631-ggplot2\/\" target=\"_blank\" rel=\"noopener\">\u0643\u064a\u0641\u064a\u0629 \u062a\u062f\u0648\u064a\u0631 \u062a\u0633\u0645\u064a\u0627\u062a \u0627\u0644\u0645\u062d\u0648\u0631 \u0641\u064a ggplot2<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u064a\u0648\u0641\u0631 \u0647\u0630\u0627 \u0627\u0644\u0628\u0631\u0646\u0627\u0645\u062c \u0627\u0644\u062a\u0639\u0644\u064a\u0645\u064a \u0645\u062b\u0627\u0644\u0627\u064b \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u062d\u0648\u0644 \u0643\u064a\u0641\u064a\u0629 \u062a\u0633\u0645\u064a\u0629 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0645\u062a\u0637\u0631\u0641\u0629 \u0641\u064a boxplots \u0641\u064a ggplot2. \u0627\u0644\u062e\u0637\u0648\u0629 1: \u0625\u0646\u0634\u0627\u0621 \u0625\u0637\u0627\u0631 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0623\u0648\u0644\u0627\u064b\u060c \u0644\u0646\u0642\u0645 \u0628\u0625\u0646\u0634\u0627\u0621 \u0625\u0637\u0627\u0631 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a \u0627\u0644\u0630\u064a \u064a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 \u0645\u0639\u0644\u0648\u0645\u0627\u062a \u062d\u0648\u0644 \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u062a\u064a \u0633\u062c\u0644\u0647\u0627 60 \u0644\u0627\u0639\u0628\u064b\u0627 \u0645\u062e\u062a\u0644\u0641\u064b\u0627 \u0644\u0643\u0631\u0629 \u0627\u0644\u0633\u0644\u0629 \u0641\u064a \u062b\u0644\u0627\u062b\u0629 \u0641\u0631\u0642 \u0645\u062e\u062a\u0644\u0641\u0629: #make this example reproducible set. seeds (1) #create data frame df [&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 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