{"id":1963,"date":"2025-01-25T03:33:40","date_gmt":"2025-01-25T03:33:40","guid":{"rendered":"https:\/\/donhit.com\/en\/?p=1963"},"modified":"2025-02-06T04:15:25","modified_gmt":"2025-02-06T04:15:25","slug":"empirical-rule","status":"publish","type":"post","link":"https:\/\/donhit.com\/en\/calculator\/empirical-rule\/","title":{"rendered":"Empirical Rule Calculator"},"content":{"rendered":"<p><center><div class=\"bg-white p-8 rounded-lg shadow-lg w-96\">\r\n        <h2 class=\"text-2xl font-bold mb-4 text-center text-blue-600\">Empirical Rule Calculator<\/h2>\r\n        \r\n        <div class=\"mb-4\">\r\n            <label class=\"block text-gray-700 mb-2\" for=\"mean\">Mean (\u03bc):<\/label>\r\n            <input type=\"number\" id=\"mean\" class=\"w-full px-3 py-2 border rounded-md focus:outline-none focus:ring-2 focus:ring-blue-500\" placeholder=\"Enter mean value\">\r\n        <\/div>\r\n        \r\n        <div class=\"mb-4\">\r\n            <label class=\"block text-gray-700 mb-2\" for=\"stdDev\">Standard Deviation (\u03c3):<\/label>\r\n            <input type=\"number\" id=\"stdDev\" class=\"w-full px-3 py-2 border rounded-md focus:outline-none focus:ring-2 focus:ring-blue-500\" placeholder=\"Enter standard deviation\">\r\n        <\/div>\r\n        \r\n        <button id=\"calculateBtn\" class=\"w-full bg-blue-500 text-white py-2 rounded-md hover:bg-blue-600 transition duration-300\">\r\n            Calculate\r\n        <\/button>\r\n        \r\n        <div id=\"results\" class=\"mt-4 text-center\">\r\n            <div class=\"tooltip\">\r\n                <h3 class=\"font-semibold text-gray-700\">Within 1\u03c3 (68%)<\/h3>\r\n                <span class=\"tooltiptext\">Approximately 68% of data falls within one standard deviation of the mean<\/span>\r\n                <p id=\"oneStdDev\" class=\"text-green-600 font-bold\"><\/p>\r\n            <\/div>\r\n            \r\n            <div class=\"tooltip mt-2\">\r\n                <h3 class=\"font-semibold text-gray-700\">Within 2\u03c3 (95%)<\/h3>\r\n                <span class=\"tooltiptext\">Approximately 95% of data falls within two standard deviations of the mean<\/span>\r\n                <p id=\"twoStdDev\" class=\"text-blue-600 font-bold\"><\/p>\r\n            <\/div>\r\n            \r\n            <div class=\"tooltip mt-2\">\r\n                <h3 class=\"font-semibold text-gray-700\">Within 3\u03c3 (99.7%)<\/h3>\r\n                <span class=\"tooltiptext\">Approximately 99.7% of data falls within three standard deviations of the mean<\/span>\r\n                <p id=\"threeStdDev\" class=\"text-purple-600 font-bold\"><\/p>\r\n            <\/div>\r\n        <\/div>\r\n    <\/div>\r\n\r\n    <script>\r\n        document.getElementById('calculateBtn').addEventListener('click', function() {\r\n            const mean = parseFloat(document.getElementById('mean').value);\r\n            const stdDev = parseFloat(document.getElementById('stdDev').value);\r\n\r\n            if (isNaN(mean) || isNaN(stdDev) || stdDev <= 0) {\r\n                alert('Please enter valid mean and standard deviation values.');\r\n                return;\r\n            }\r\n\r\n            const oneStdDev = {\r\n                min: mean - stdDev,\r\n                max: mean + stdDev\r\n            };\r\n\r\n            const twoStdDev = {\r\n                min: mean - (2 * stdDev),\r\n                max: mean + (2 * stdDev)\r\n            };\r\n\r\n            const threeStdDev = {\r\n                min: mean - (3 * stdDev),\r\n                max: mean + (3 * stdDev)\r\n            };\r\n\r\n            document.getElementById('oneStdDev').textContent = \r\n                `${oneStdDev.min.toFixed(2)} to ${oneStdDev.max.toFixed(2)}`;\r\n            \r\n            document.getElementById('twoStdDev').textContent = \r\n                `${twoStdDev.min.toFixed(2)} to ${twoStdDev.max.toFixed(2)}`;\r\n            \r\n            document.getElementById('threeStdDev').textContent = \r\n                `${threeStdDev.min.toFixed(2)} to ${threeStdDev.max.toFixed(2)}`;\r\n        });\r\n    <\/script><\/center><\/p>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[184],"tags":[],"class_list":["post-1963","post","type-post","status-publish","format-standard","hentry","category-calculator"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.0 - 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