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 https://youtu.be/pYxNSUDSFH4 and Maximum Likelihood: https://youtu.be/XepXtl9YKwc 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... Patreon: https://www.patreon.com/statquest ...or... YouTube Membership: https://www.youtube.com/channel/UCtYLUTtgS3k1Fg4y5tAhLbw/join ...buying one of my books, a study guide, a t-shirt or hoodie, or a song from the StatQuest store... https://statquest.org/statquest-store/ ...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 0:45 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