If you hang out around statisticians long enough, sooner or later someone is going to mumble "maximum likelihood" and everyone will knowingly nod. After this video, so can you! Also, some viewers asked for a worked out example that includes the math. Here it is! (you may need to click on the "Show More" button below to see the link) https://www.youtube.com/watch?v=p3T-_LMrvBc For a complete index of all the StatQuest videos, check out: https://statquest.org/video-index/ If you'd like to support StatQuest, please consider... Buying The StatQuest Illustrated Guide to Machine Learning!!! PDF - https://statquest.gumroad.com/l/wvtmc Paperback - https://www.amazon.com/dp/B09ZCKR4H6 Kindle eBook - https://www.amazon.com/dp/B09ZG79HXC Patreon: https://www.patreon.com/statquest ...or... YouTube Membership: null ...a cool StatQuest t-shirt or sweatshirt: null ...buying one or two of my songs (or go large and get a whole album!) https://joshuastarmer.bandcamp.com/ ...or just donating to StatQuest! https://www.paypal.me/statquest Lastly, if you want to keep up with me as I research and create new StatQuests, follow me on twitter: https://twitter.com/joshuastarmer 0:00 Awesome song and introduction 0:34 Motivation for MLE 1:12 Overview of the Normal Distribution 2:06 Thinking about where to center the distribution 3:25 Using MLE to find the optimal location for the center 4:27 Using MLE to find the optimal standard deviation 5:19 Probability vs Likelihood #statquest #MLE