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Maximum Likelihood For the Normal Distribution, step-by-step!!!

Calculating the maximum likelihood estimates for the normal distribution shows you why we use the mean and standard deviation define the shape of the curve. NOTE: This is another follow up to the StatQuests on Probability vs Likelihood    • Probability is not Likelihood. Find o...   and Maximum Likelihood:    • Maximum Likelihood, clearly explained!!!   Viewers asked for worked out examples, and this one is super mathy, but I just couldn't say "no"! 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:   / statquest   ...or... YouTube Membership:    / @statquest   ...a cool StatQuest t-shirt or sweatshirt: https://shop.spreadshirt.com/statques... ...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:   / joshuastarmer   0:00 Awesome song and introduction 0:45 Overview of the normal distribution equation 1:41 Example with one data point 5:38 Example with two data points 7:35 Example in 'n' data points 8:08 Solving for the MLEs for mu and sigma 18:54 Review of concepts Correction: 2:39 I said likelihood=0.03 for mu=30, but mu=28 is in the equation. #statquest #MLE #statistics