{"id":154598,"date":"2022-03-25T23:42:45","date_gmt":"2022-03-25T18:12:45","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/lognormal-distribution-definition-parameters-and-faqs\/"},"modified":"2023-01-02T18:04:19","modified_gmt":"2023-01-02T12:34:19","slug":"lognormal-distribution-definition-parameters-and-faqs","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/lognormal-distribution\/","title":{"rendered":"Lognormal Distribution &#8211; Definition, Parameters, and FAQS"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/lognormal-distribution\/#Logarithmic_Normal_Distribution\" title=\"Logarithmic Normal Distribution\">Logarithmic Normal Distribution<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/lognormal-distribution\/#Log_Normal_Distribution_Definition\" title=\"Log Normal Distribution Definition\">Log Normal Distribution Definition<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/lognormal-distribution\/#How_to_Find_Log_-_Normal_Distribution\" title=\"How to Find Log &#8211; Normal Distribution?\">How to Find Log &#8211; Normal Distribution?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/lognormal-distribution\/#Lognormal_Distribution_Parameters\" title=\"Lognormal Distribution Parameters\">Lognormal Distribution Parameters<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/lognormal-distribution\/#Mean_of_Lognormal_Distribution\" title=\"Mean of Lognormal Distribution\">Mean of Lognormal Distribution<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/lognormal-distribution\/#Median_of_Lognormal_Distribution\" title=\"Median of Lognormal Distribution\">Median of Lognormal Distribution<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/lognormal-distribution\/#Mode_of_Lognormal_Distribution\" title=\"Mode of Lognormal Distribution\">Mode of Lognormal Distribution<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/lognormal-distribution\/#Variance_of_Lognormal_Distribution\" title=\"Variance of Lognormal Distribution\">Variance of Lognormal Distribution<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Logarithmic_Normal_Distribution\"><\/span>Logarithmic Normal Distribution<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A logarithmic normal distribution is a type of normal distribution that is characterized by a logarithmic scale for the x-axis and a linear scale for the y-axis. This type of distribution is often used to model data that is skewed to the right or to the left.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-154597 size-medium\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/lognormal-distribution-definition-parameters-and-faqs-300x212.jpg\" alt=\"Lognormal Distribution\" width=\"300\" height=\"212\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/lognormal-distribution-definition-parameters-and-faqs-300x212.jpg?v=1648231963 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/lognormal-distribution-definition-parameters-and-faqs.jpg?v=1648231963 606w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Log_Normal_Distribution_Definition\"><\/span>Log Normal Distribution Definition<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A log-normal distribution is a continuous probability distribution that is obtained by taking the natural logarithm of a random variable that is normally distributed.<\/p>\n<p>The log-normal distribution is often used to model the distribution of stock prices, since stock prices tend to follow a log-normal distribution.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"How_to_Find_Log_-_Normal_Distribution\"><\/span>How to Find Log &#8211; Normal Distribution?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The equation for the normal distribution is:<\/p>\n<p>where is the mean and is the standard deviation.<\/p>\n<p>To find the log of the normal distribution, you first need to find the log of the mean and the log of the standard deviation. Then, you can use the equation for the normal distribution to find the log of the distribution.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Lognormal_Distribution_Parameters\"><\/span>Lognormal Distribution Parameters<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Mean: \u03bc<\/p>\n<p>Standard deviation: \u03c3<\/p>\n<p>Shape parameter: k<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Mean_of_Lognormal_Distribution\"><\/span>Mean of Lognormal Distribution<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The mean of a lognormal distribution is the first moment of the distribution, which is also the mean of the logarithms of the values in the distribution. This means that the mean is equal to the sum of the values in the distribution multiplied by their respective logarithms.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Median_of_Lognormal_Distribution\"><\/span>Median of Lognormal Distribution<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The median of a lognormal distribution is the value at which the cumulative distribution function is equal to 0.5.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Mode_of_Lognormal_Distribution\"><\/span>Mode of Lognormal Distribution<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The lognormal distribution is a continuous probability distribution that is used to model the behavior of a random variable that is the logarithm of a normally distributed random variable.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Variance_of_Lognormal_Distribution\"><\/span>Variance of Lognormal Distribution<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>If we have a lognormal distribution, the standard deviation of the distribution is equal to the root mean square of the natural logarithms of the values in the distribution.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Logarithmic Normal Distribution A logarithmic normal distribution is a type of normal distribution that is characterized by a logarithmic scale [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Lognormal Distribution","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Learn about lognormal distribution topic of maths in details explained by subject experts on infinitylearn.com.","custom_permalink":"maths\/lognormal-distribution\/"},"categories":[13],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - 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