{"id":835,"date":"2023-07-28T14:30:02","date_gmt":"2023-07-28T14:30:02","guid":{"rendered":"https:\/\/statorials.org\/my\/bell-curve-python\/"},"modified":"2023-07-28T14:30:02","modified_gmt":"2023-07-28T14:30:02","slug":"bell-curve-python","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/bell-curve-python\/","title":{"rendered":"Python \u1010\u103d\u1004\u103a bell curve \u1016\u1014\u103a\u1010\u102e\u1038\u1014\u100a\u103a\u1038"},"content":{"rendered":"<p><\/p>\n<hr>\n<p>&#8220; \u1001\u1031\u102b\u1004\u103a\u1038\u101c\u1031\u102c\u1004\u103a\u1038\u1019\u103b\u1009\u103a\u1038\u1000\u103d\u1031\u1038&#8221;  \u101e\u100a\u103a <span style=\"color: #000000;\">\u1000\u103d\u1032\u1015\u103c\u102c\u1038\u101e\u1031\u102c &#8220; \u1001\u1031\u102b\u1004\u103a\u1038\u101c\u1031\u102c\u1004\u103a\u1038&#8221;  \u1015\u102f\u1036\u101e\u100f\u1039\u100d\u102c\u1014\u103a\u101b\u103e\u102d\u101e\u100a\u1037\u103a<\/span> <a href=\"https:\/\/statorials.org\/my\/\u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u101e\u102c\u1019\u1014\u103a\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f<\/a> <span style=\"color: #000000;\">\u1015\u102f\u1036\u1005\u1036\u1021\u1010\u103d\u1000\u103a \u1015\u1031\u1038\u1011\u102c\u1038\u101e\u100a\u1037\u103a \u1021\u1019\u100a\u103a\u1015\u103c\u1031\u102c\u1004\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a<\/span> &#8211; <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9236 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/courbe-en-clochepython1.png\" alt=\"Python \u101b\u103e\u102d Bell Curve\" width=\"439\" height=\"270\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a Python \u1010\u103d\u1004\u103a \u1001\u1031\u102b\u1004\u103a\u1038\u101c\u1031\u102c\u1004\u103a\u1038\u1019\u103b\u1009\u103a\u1038\u1000\u103d\u1031\u1038\u1000\u102d\u102f \u1016\u1014\u103a\u1010\u102e\u1038\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Python \u1010\u103d\u1004\u103a Bell Curve \u1016\u1014\u103a\u1010\u102e\u1038\u1014\u100a\u103a\u1038<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u102f\u1012\u103a\u101e\u100a\u103a <strong>numpy<\/strong> \u104a <strong>scipy<\/strong> \u1014\u103e\u1004\u1037\u103a <strong>matplotlib<\/strong> \u1005\u102c\u1000\u103c\u100a\u1037\u103a\u1010\u102d\u102f\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u1001\u1031\u102b\u1004\u103a\u1038\u101c\u1031\u102c\u1004\u103a\u1038\u1019\u103b\u1009\u103a\u1038\u1000\u103d\u1031\u1038\u1000\u102d\u102f \u1016\u1014\u103a\u1010\u102e\u1038\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u1015\u103c\u101e\u101e\u100a\u103a-<\/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<span style=\"color: #107d3f;\">from<\/span> scipy.stats <span style=\"color: #107d3f;\">import<\/span> norm\n\n<span style=\"color: #008080;\">#create range of x-values from -4 to 4 in increments of .001<\/span>\nx = np.arange(-4, 4, 0.001)\n\n<span style=\"color: #008080;\">#create range of y-values that correspond to normal pdf with mean=0 and sd=1<\/span> \ny = norm.pdf(x,0,1)\n\n<span style=\"color: #008080;\">#defineplot<\/span> \nfig, ax = plt.subplots(figsize=(9,6))\nax.plot(x,y)\n\n<span style=\"color: #008080;\">#choose plot style and display the bell curve<\/span> \nplt.style.use('fivethirtyeight')\nplt.show()<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9236 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/courbe-en-clochepython1.png\" alt=\"Python \u101b\u103e\u102d Bell Curve\" width=\"439\" height=\"270\" srcset=\"\" sizes=\"\"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Python \u1010\u103d\u1004\u103a Bell Curve \u1016\u103c\u100a\u1037\u103a\u1014\u100a\u103a\u1038<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u102f\u1012\u103a\u101e\u100a\u103a -1 \u1019\u103e 1 \u101e\u102d\u102f\u1037\u101e\u103d\u102c\u1038\u101e\u1031\u102c \u1001\u1031\u102b\u1004\u103a\u1038\u101c\u1031\u102c\u1004\u103a\u1038\u1019\u103b\u1009\u103a\u1038\u1000\u103d\u1031\u1038\u1021\u1031\u102c\u1000\u103a\u101b\u103e\u102d \u1027\u101b\u102d\u101a\u102c\u1021\u102c\u1038 \u1016\u103c\u100a\u1037\u103a\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u1016\u1031\u102c\u103a\u1015\u103c\u101e\u100a\u103a-<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>x = np.arange(-4, 4, 0.001)\ny = norm.pdf(x,0,1)\n\nfig, ax = plt.subplots(figsize=(9,6))\nax.plot(x,y)\n\n<span style=\"color: #008080;\">#specify the region of the bell curve to fill in<\/span> \nx_fill = np.arange(-1, 1, 0.001)\ny_fill = norm.pdf(x_fill,0,1)\nax.fill_between(x_fill,y_fill,0, alpha=0.2, color='blue')\n\nplt.style.use('fivethirtyeight')\nplt.show()<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9237 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/courbe-en-clochepython2.png\" alt=\"Python \u1010\u103d\u1004\u103a \u1015\u103c\u100a\u1037\u103a\u1014\u1031\u101e\u1031\u102c \u1027\u101b\u102d\u101a\u102c\u1016\u103c\u1004\u1037\u103a Bell Curve\" width=\"439\" height=\"270\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\"><strong>matplotlib \u104f<\/strong> \u1005\u1010\u102d\u102f\u1004\u103a\u101c\u103a\u101b\u103d\u1031\u1038\u1001\u103b\u101a\u103a\u1005\u101b\u102c\u1019\u103b\u102c\u1038\u1005\u103d\u102c\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u101e\u1004\u103a\u1021\u101c\u102d\u102f\u101b\u103e\u102d\u101e\u1031\u102c \u1007\u102c\u1010\u103a\u1000\u103d\u1000\u103a\u1000\u102d\u102f\u101c\u100a\u103a\u1038 \u1015\u102f\u1036\u1005\u1036\u1001\u103b\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u1000\u102d\u102f \u101e\u1010\u102d\u1015\u103c\u102f\u1015\u102b\u104b \u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u101e\u1004\u103a\u101e\u100a\u103a \u1021\u1005\u102d\u1019\u103a\u1038\u101b\u1031\u102c\u1004\u103a\u1019\u103b\u1009\u103a\u1038\u1014\u103e\u1004\u1037\u103a \u1021\u1005\u102d\u1019\u103a\u1038\u101b\u1031\u102c\u1004\u103a\u1021\u101b\u102d\u1015\u103a\u1019\u103b\u102c\u1038\u1015\u102b\u101b\u103e\u102d\u101e\u1031\u102c &#8220; \u1014\u1031\u101b\u1031\u102c\u1004\u103a&#8221;  \u1021\u1015\u103c\u1004\u103a\u1021\u1006\u1004\u103a\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>x = np.arange(-4, 4, 0.001)\ny = norm.pdf(x,0,1)\n\nfig, ax = plt.subplots(figsize=(9,6))\nax.plot(x,y, color=' <span style=\"color: #008000;\">green<\/span> ')\n\n<span style=\"color: #008080;\">#specify the region of the bell curve to fill in<\/span> \nx_fill = np.arange(-1, 1, 0.001)\ny_fill = norm.pdf(x_fill,0,1)\nax.fill_between(x_fill,y_fill,0, alpha=0.2, color=' <span style=\"color: #008000;\">green<\/span> ')\n\nplt.style.use(' <span style=\"color: #008000;\">Solarize_Light2<\/span> ')\nplt.show()<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9238 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/courbe-en-clochepython3.png\" alt=\"matplotlib \u1016\u103c\u1004\u1037\u103a Python \u1010\u103d\u1004\u103a \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1019\u103b\u1009\u103a\u1038\u1000\u103d\u1031\u1038\" width=\"439\" height=\"287\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\"><em>matplotlib \u1021\u1010\u103d\u1000\u103a \u1005\u1010\u102d\u102f\u1004\u103a\u1005\u102c\u101b\u103d\u1000\u103a \u1021\u1000\u102d\u102f\u1038\u1021\u1000\u102c\u1038 \u1021\u1015\u103c\u100a\u1037\u103a\u1021\u1005\u102f\u1036\u1000\u102d\u102f <a href=\"https:\/\/matplotlib.org\/3.2.1\/gallery\/style_sheets\/style_sheets_reference.html\" target=\"_blank\" rel=\"noopener noreferrer\">\u1024\u1014\u1031\u101b\u102c\u1010\u103d\u1004\u103a<\/a> \u101b\u103e\u102c\u1010\u103d\u1031\u1037\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/em><\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u1011\u1015\u103a\u101c\u1031\u102c\u1004\u103a\u1038\u1021\u101b\u1004\u103a\u1038\u1021\u1019\u103c\u1005\u103a\u1019\u103b\u102c\u1038<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/my\/bell-curve-excel\/\" target=\"_blank\" rel=\"noopener noreferrer\">Excel \u1010\u103d\u1004\u103a Bell Curve \u1016\u1014\u103a\u1010\u102e\u1038\u1014\u100a\u103a\u1038<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>&#8220; \u1001\u1031\u102b\u1004\u103a\u1038\u101c\u1031\u102c\u1004\u103a\u1038\u1019\u103b\u1009\u103a\u1038\u1000\u103d\u1031\u1038&#8221; \u101e\u100a\u103a \u1000\u103d\u1032\u1015\u103c\u102c\u1038\u101e\u1031\u102c &#8220; \u1001\u1031\u102b\u1004\u103a\u1038\u101c\u1031\u102c\u1004\u103a\u1038&#8221; \u1015\u102f\u1036\u101e\u100f\u1039\u100d\u102c\u1014\u103a\u101b\u103e\u102d\u101e\u100a\u1037\u103a \u101e\u102c\u1019\u1014\u103a\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f \u1015\u102f\u1036\u1005\u1036\u1021\u1010\u103d\u1000\u103a \u1015\u1031\u1038\u1011\u102c\u1038\u101e\u100a\u1037\u103a \u1021\u1019\u100a\u103a\u1015\u103c\u1031\u102c\u1004\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a &#8211; \u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a Python \u1010\u103d\u1004\u103a \u1001\u1031\u102b\u1004\u103a\u1038\u101c\u1031\u102c\u1004\u103a\u1038\u1019\u103b\u1009\u103a\u1038\u1000\u103d\u1031\u1038\u1000\u102d\u102f \u1016\u1014\u103a\u1010\u102e\u1038\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b Python \u1010\u103d\u1004\u103a Bell Curve \u1016\u1014\u103a\u1010\u102e\u1038\u1014\u100a\u103a\u1038 \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u102f\u1012\u103a\u101e\u100a\u103a numpy \u104a scipy \u1014\u103e\u1004\u1037\u103a matplotlib \u1005\u102c\u1000\u103c\u100a\u1037\u103a\u1010\u102d\u102f\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u1001\u1031\u102b\u1004\u103a\u1038\u101c\u1031\u102c\u1004\u103a\u1038\u1019\u103b\u1009\u103a\u1038\u1000\u103d\u1031\u1038\u1000\u102d\u102f \u1016\u1014\u103a\u1010\u102e\u1038\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u1015\u103c\u101e\u101e\u100a\u103a- import numpy as np import matplotlib.pyplot as plt from scipy.stats import norm #create range of x-values from -4 to 4 in [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Python - Statology \u1010\u103d\u1004\u103a Bell Curve \u1016\u1014\u103a\u1010\u102e\u1038\u1014\u100a\u103a\u1038<\/title>\n<meta name=\"description\" content=\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a Python \u1010\u103d\u1004\u103a \u1001\u1031\u102b\u1004\u103a\u1038\u101c\u1031\u102c\u1004\u103a\u1038\u1019\u103b\u1009\u103a\u1038\u1000\u103d\u1031\u1038\u1000\u102d\u102f \u1021\u101c\u103d\u101a\u103a\u1010\u1000\u1030\u1016\u1014\u103a\u1010\u102e\u1038\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b\" \/>\n<meta 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