{"id":907,"date":"2023-07-28T08:34:13","date_gmt":"2023-07-28T08:34:13","guid":{"rendered":"https:\/\/statorials.org\/ar\/%d8%a7%d9%94%d8%b4%d8%b1%d8%b7%d8%a9-%d8%ae%d8%b7%d8%a7%d9%94-%d8%a8%d8%a7%d9%8a%d8%ab%d9%88%d9%86\/"},"modified":"2023-07-28T08:34:13","modified_gmt":"2023-07-28T08:34:13","slug":"%d8%a7%d9%94%d8%b4%d8%b1%d8%b7%d8%a9-%d8%ae%d8%b7%d8%a7%d9%94-%d8%a8%d8%a7%d9%8a%d8%ab%d9%88%d9%86","status":"publish","type":"post","link":"https:\/\/statorials.org\/ar\/%d8%a7%d9%94%d8%b4%d8%b1%d8%b7%d8%a9-%d8%ae%d8%b7%d8%a7%d9%94-%d8%a8%d8%a7%d9%8a%d8%ab%d9%88%d9%86\/","title":{"rendered":"\u0643\u064a\u0641\u064a\u0629 \u0625\u0636\u0627\u0641\u0629 \u0623\u0634\u0631\u0637\u0629 \u0627\u0644\u062e\u0637\u0623 \u0625\u0644\u0649 \u0627\u0644\u0631\u0633\u0648\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a\u0629 \u0641\u064a \u0628\u0627\u064a\u062b\u0648\u0646"},"content":{"rendered":"<p><\/p>\n<hr>\n<p style=\";text-align:right;direction:rtl\"><span style=\"color: #000000;\">\u0641\u064a \u0643\u062b\u064a\u0631 \u0645\u0646 \u0627\u0644\u0623\u062d\u064a\u0627\u0646\u060c \u0642\u062f \u062a\u0631\u063a\u0628 \u0641\u064a \u0625\u0636\u0627\u0641\u0629 <strong>\u0623\u0634\u0631\u0637\u0629 \u062e\u0637\u0623<\/strong> \u0625\u0644\u0649 \u0627\u0644\u0631\u0633\u0648\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a\u0629 \u0641\u064a \u0628\u0627\u064a\u062b\u0648\u0646 \u0644\u0627\u0644\u062a\u0642\u0627\u0637 \u0639\u062f\u0645 \u0627\u0644\u064a\u0642\u064a\u0646 \u062d\u0648\u0644 \u0627\u0644\u0642\u064a\u0627\u0633\u0627\u062a \u0623\u0648 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0645\u062d\u0633\u0648\u0628\u0629. \u0644\u062d\u0633\u0646 \u0627\u0644\u062d\u0638\u060c \u0645\u0646 \u0627\u0644\u0633\u0647\u0644 \u0627\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0645\u0643\u062a\u0628\u0629 matplotlib.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u0634\u0631\u062d \u0647\u0630\u0627 \u0627\u0644\u0628\u0631\u0646\u0627\u0645\u062c \u0627\u0644\u062a\u0639\u0644\u064a\u0645\u064a \u0643\u064a\u0641\u064a\u0629 \u0625\u0636\u0627\u0641\u0629 \u0623\u0634\u0631\u0637\u0629 \u0627\u0644\u062e\u0637\u0623 \u0625\u0644\u0649 \u0627\u0644\u0645\u062e\u0637\u0637\u0627\u062a \u0627\u0644\u0634\u0631\u064a\u0637\u064a\u0629 \u0648\u0627\u0644\u0645\u062e\u0637\u0637\u0627\u062a \u0627\u0644\u062e\u0637\u064a\u0629 \u0641\u064a \u0628\u0627\u064a\u062b\u0648\u0646.<\/span><\/p>\n<h3 style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0623\u0634\u0631\u0637\u0629 \u0627\u0644\u062e\u0637\u0623 \u0641\u064a \u0627\u0644\u0645\u062e\u0637\u0637\u0627\u062a \u0627\u0644\u0634\u0631\u064a\u0637\u064a\u0629<\/strong><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0644\u0646\u0641\u062a\u0631\u0636 \u0623\u0646 \u0644\u062f\u064a\u0646\u0627 \u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0627\u0644\u0645\u0643\u0648\u0646\u0629 \u0645\u0646 10 \u0642\u064a\u0645 \u0641\u064a \u0628\u0627\u064a\u062b\u0648\u0646:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #107d3f;\">import<\/span> numpy <span style=\"color: #107d3f;\">as<\/span> np\n<span style=\"color: #107d3f;\">import<\/span> matplotlib.pyplot <span style=\"color: #107d3f;\">as<\/span> plt\n\n<span style=\"color: #008080;\">#define dataset<\/span>\ndata = [4, 6, 6, 8, 9, 14, 16, 16, 17, 20]<\/strong><\/pre>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0644\u0625\u0646\u0634\u0627\u0621 \u0645\u062e\u0637\u0637 \u0634\u0631\u064a\u0637\u064a \u064a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 \u0623\u0634\u0631\u0637\u0629 \u062e\u0637\u0623 \u0644\u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0647\u0630\u0647\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u062a\u0639\u064a\u064a\u0646 \u0639\u0631\u0636 \u0623\u0634\u0631\u0637\u0629 \u0627\u0644\u062e\u0637\u0623 \u0643\u062e\u0637\u0623 <strong>\u0642\u064a\u0627\u0633\u064a<\/strong> \u060c \u0648\u0627\u0644\u0630\u064a \u064a\u062a\u0645 \u062d\u0633\u0627\u0628\u0647<\/span><strong><br \/><\/strong><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0627\u0644\u062e\u0637\u0623 \u0627\u0644\u0645\u0639\u064a\u0627\u0631\u064a = s \/ \u221an<\/strong><\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0630\u0647\u0628:<\/span><\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>s:<\/strong> \u0639\u064a\u0646\u0629 \u0627\u0644\u0627\u0646\u062d\u0631\u0627\u0641 \u0627\u0644\u0645\u0639\u064a\u0627\u0631\u064a<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0646:<\/strong> \u062d\u062c\u0645 \u0627\u0644\u0639\u064a\u0646\u0629<\/span><\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u0648\u0636\u062d \u0627\u0644\u0643\u0648\u062f \u0627\u0644\u062a\u0627\u0644\u064a \u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0627\u0644\u062e\u0637\u0623 \u0627\u0644\u0642\u064a\u0627\u0633\u064a \u0644\u0647\u0630\u0627 \u0627\u0644\u0645\u062b\u0627\u0644:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#calculate standard error<\/span>\nstd_error = np.std(data, ddof=1) \/ np.sqrt(len(data))\n\n<span style=\"color: #008080;\">#view standard error<\/span>\nstd_error\n\n1.78\n<\/strong><\/pre>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0623\u062e\u064a\u0631\u064b\u0627\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0625\u0646\u0634\u0627\u0621 \u0627\u0644\u0645\u062e\u0637\u0637 \u0627\u0644\u0634\u0631\u064a\u0637\u064a \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0623\u0634\u0631\u0637\u0629 \u0627\u0644\u062e\u0637\u0623 \u0627\u0644\u062a\u064a \u064a\u0633\u0627\u0648\u064a \u0639\u0631\u0636\u0647\u0627 \u0627\u0644\u062e\u0637\u0623 \u0627\u0644\u0642\u064a\u0627\u0633\u064a:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define chart<\/span> \nfig, ax = plt.subplots()\n\n<span style=\"color: #008080;\">#create chart<\/span>\nax.bar(x=np.arange(len(data)), <span style=\"color: #008080;\">#x-coordinates of bars<\/span>\n       height=data, <span style=\"color: #008080;\">#height of bars<\/span>\n       yerr=std_error, <span style=\"color: #008080;\">#error bar width<\/span>\n       capsize=4) <span style=\"color: #008080;\">#length of error bar caps<\/span><\/strong> <\/pre>\n<p style=\";text-align:right;direction:rtl\"><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9718 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/erreur_bar_python1.png\" alt=\"\u0645\u062e\u0637\u0637 \u0634\u0631\u064a\u0637\u064a \u0645\u0639 \u0623\u0634\u0631\u0637\u0629 \u0627\u0644\u062e\u0637\u0623 \u0641\u064a \u0628\u0627\u064a\u062b\u0648\u0646\" width=\"438\" height=\"297\" srcset=\"\" sizes=\"\"><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0648\u062a\u0628\u064a\u0646 \u0623\u0646 \u0627\u0644\u062e\u0637\u0623 \u0627\u0644\u0642\u064a\u0627\u0633\u064a \u0647\u0648 <strong>1.78<\/strong> . \u0647\u0630\u0627 \u0647\u0648 \u0639\u0631\u0636 \u0634\u0631\u064a\u0637 \u0627\u0644\u062e\u0637\u0623 \u0627\u0644\u0630\u064a \u064a\u0645\u062a\u062f \u0641\u064a \u0623\u064a \u0627\u062a\u062c\u0627\u0647 \u0645\u0646 \u062a\u0642\u062f\u064a\u0631\u0627\u062a \u0627\u0644\u0646\u0642\u0627\u0637 \u0639\u0644\u0649 \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a. \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0642\u064a\u0645\u0629 \u0627\u0644\u0634\u0631\u064a\u0637 \u0627\u0644\u0623\u0648\u0644 \u0641\u064a \u0627\u0644\u0645\u062e\u0637\u0637 \u0647\u064a 4\u060c \u0644\u0630\u0644\u0643 \u064a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 \u0634\u0631\u064a\u0637 \u062e\u0637\u0623 \u064a\u0645\u062a\u062f \u0645\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\u062d\u062f \u0627\u0644\u0623\u062f\u0646\u0649: 4 \u2013 178 = <strong>2.22<\/strong><\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0627\u0644\u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u0639\u0644\u064a\u0627: 4 + 1.78 = <strong>5.78<\/strong><\/span><\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0643\u0644 \u0634\u0631\u064a\u0637 \u062e\u0637\u0623 \u0641\u064a \u0627\u0644\u0645\u062e\u0637\u0637 \u0644\u0647 \u0646\u0641\u0633 \u0627\u0644\u0639\u0631\u0636.<\/span><\/p>\n<h3 style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0623\u0634\u0631\u0637\u0629 \u0627\u0644\u062e\u0637\u0623 \u0641\u064a \u0627\u0644\u0645\u062e\u0637\u0637\u0627\u062a \u0627\u0644\u062e\u0637\u064a\u0629<\/strong><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u0648\u0636\u062d \u0627\u0644\u062a\u0639\u0644\u064a\u0645\u0629 \u0627\u0644\u0628\u0631\u0645\u062c\u064a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0643\u064a\u0641\u064a\u0629 \u0625\u0646\u0634\u0627\u0621 \u0645\u062e\u0637\u0637 \u062e\u0637\u064a \u064a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 \u0623\u0634\u0631\u0637\u0629 \u062e\u0637\u0623 \u0644\u0646\u0641\u0633 \u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #107d3f;\">import<\/span> numpy <span style=\"color: #107d3f;\">as<\/span> np\n<span style=\"color: #107d3f;\">import<\/span> matplotlib.pyplot <span style=\"color: #107d3f;\">as<\/span> plt\n\n<span style=\"color: #008080;\">#define data<\/span>\ndata = [4, 6, 6, 8, 9, 14, 16, 16, 17, 20]\n\n<span style=\"color: #008080;\">#define x and y coordinates\n<\/span>x = np.arange(len(data))\ny = data\n\n<span style=\"color: #008080;\">#create line chart with error bars\n<\/span>fig, ax = plt.subplots()\n\nax.errorbar(x, y,\n            yerr=std_error,\n            capsize=4)<\/strong> <\/pre>\n<p style=\";text-align:right;direction:rtl\"><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9720 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/erreur_bar_python2.png\" alt=\"\u0645\u062e\u0637\u0637 \u062e\u0637\u064a \u0645\u0639 \u0623\u0634\u0631\u0637\u0629 \u0627\u0644\u062e\u0637\u0623 \u0641\u064a \u0628\u0627\u064a\u062b\u0648\u0646\" width=\"397\" height=\"266\" srcset=\"\" sizes=\"\"><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0644\u0627\u062d\u0638 \u0623\u0646 \u0627\u0644\u0648\u0633\u064a\u0637\u0629 <strong>yer<\/strong> \u062a\u0637\u0644\u0628 \u0645\u0646 Python \u0625\u0646\u0634\u0627\u0621 \u0623\u0634\u0631\u0637\u0629 \u062e\u0637\u0623 \u0631\u0623\u0633\u064a\u0629. \u064a\u0645\u0643\u0646\u0646\u0627 \u0628\u062f\u0644\u0627\u064b \u0645\u0646 \u0630\u0644\u0643 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0623\u0634\u0631\u0637\u0629 \u0627\u0644\u0631\u0623\u0633\u064a\u0629 \u0627\u0644\u0623\u0641\u0642\u064a\u0629 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0648\u0633\u064a\u0637\u0629 <strong>xerr<\/strong> :<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create line chart with horizontal error bars\n<\/span>fig, ax = plt.subplots()\n\nax.errorbar(x, y,\n            <span style=\"color: #3366ff;\">xerr<\/span> =std_error,\n            capsize=4)<\/strong> <\/pre>\n<p style=\";text-align:right;direction:rtl\"><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9721 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/erreur_bar_python3.png\" alt=\"\u0623\u0634\u0631\u0637\u0629 \u0627\u0644\u062e\u0637\u0623 \u0641\u064a \u0645\u062e\u0637\u0637 \u0628\u0627\u064a\u062b\u0648\u0646\" width=\"418\" height=\"289\" srcset=\"\" sizes=\"\"><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><em>\u064a\u0645\u0643\u0646\u0643 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0627\u0644\u0645\u0632\u064a\u062f \u0645\u0646 \u062f\u0631\u0648\u0633 \u0628\u0627\u064a\u062b\u0648\u0646 \u0647\u0646\u0627 .<\/em><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0641\u064a \u0643\u062b\u064a\u0631 \u0645\u0646 \u0627\u0644\u0623\u062d\u064a\u0627\u0646\u060c \u0642\u062f \u062a\u0631\u063a\u0628 \u0641\u064a \u0625\u0636\u0627\u0641\u0629 \u0623\u0634\u0631\u0637\u0629 \u062e\u0637\u0623 \u0625\u0644\u0649 \u0627\u0644\u0631\u0633\u0648\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a\u0629 \u0641\u064a \u0628\u0627\u064a\u062b\u0648\u0646 \u0644\u0627\u0644\u062a\u0642\u0627\u0637 \u0639\u062f\u0645 \u0627\u0644\u064a\u0642\u064a\u0646 \u062d\u0648\u0644 \u0627\u0644\u0642\u064a\u0627\u0633\u0627\u062a \u0623\u0648 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0645\u062d\u0633\u0648\u0628\u0629. \u0644\u062d\u0633\u0646 \u0627\u0644\u062d\u0638\u060c \u0645\u0646 \u0627\u0644\u0633\u0647\u0644 \u0627\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0645\u0643\u062a\u0628\u0629 matplotlib. \u064a\u0634\u0631\u062d \u0647\u0630\u0627 \u0627\u0644\u0628\u0631\u0646\u0627\u0645\u062c \u0627\u0644\u062a\u0639\u0644\u064a\u0645\u064a \u0643\u064a\u0641\u064a\u0629 \u0625\u0636\u0627\u0641\u0629 \u0623\u0634\u0631\u0637\u0629 \u0627\u0644\u062e\u0637\u0623 \u0625\u0644\u0649 \u0627\u0644\u0645\u062e\u0637\u0637\u0627\u062a \u0627\u0644\u0634\u0631\u064a\u0637\u064a\u0629 \u0648\u0627\u0644\u0645\u062e\u0637\u0637\u0627\u062a \u0627\u0644\u062e\u0637\u064a\u0629 \u0641\u064a \u0628\u0627\u064a\u062b\u0648\u0646. \u0623\u0634\u0631\u0637\u0629 \u0627\u0644\u062e\u0637\u0623 \u0641\u064a \u0627\u0644\u0645\u062e\u0637\u0637\u0627\u062a \u0627\u0644\u0634\u0631\u064a\u0637\u064a\u0629 \u0644\u0646\u0641\u062a\u0631\u0636 \u0623\u0646 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