The Central Limit Theorem - understanding what it is and why it works

The Central Limit theorem underpins much of traditional inference. In this video Dr Nic explains what it entails, and gives an example using dragons.
0:00 Introduction
0:30 Background
0:40 Sampling Distribution of the mean
1:15 Overview of four aspects
1:50 Dragon example
3:00 Samples of n=4
3:55 Aspect 1 - spread is smaller
4:15 Aspect 2
4:50 Aspect 3
5:26 Aspect 4 - sample size effect
6:10 Important notes

#Statistics #Probability #DrNicStats

[anessaalrubaiawi]

Great sense of humor, and great methods of teaching, as i always say... Not all profs are profs, some are 'Borne' to do it. i wish you'd do more videos on Biostats as its a universal problem. Thanks for existing. :)

[suyeonbettyhwang]

As a high school math teacher, I can say this is one phenomenal video you put together that is very conceptual, illustrative, engaging, and powerful! Great job!

[АлексейТучак-мч]

With the help of these hillarious pictures, I will finally remember central limit theorem :)

[plinkoXD]

What a great, informative video!! When learning this theorem from a purely analytic viewpoint, it’s hard sometimes to bring it down to something relatable outside of measure spaces. Thanks you!

[jlcxjdh]

THIS WAS JUST THE VIDEO I WAS LOOKING FOR! Dr. Nic, you're saving lives!! Also, loved the dragon example, kept me from falling asleep for sure :)

[raulingaverage]

This is an underrate and high quality mathematical content--great stuff! I will be sure to share with others if they inquire about math tutorial videos.

[spartanrabbit]

Ooh my god im so glad i discovered your channel!! Cheers from Chile!!! Already in love of your style of teaching, you and the channel!!!!

[pavitmaharaj]

Thanks for the Video Dr Nic! Helps immensely!

[faridhakimi]

❤ love dr Nic’s videos. She’s a star of statistics world 🌍

[Lexyvil]

This method of teaching is phemomenal. As a Fantasy geek, I really loved the Dragon stats example!

[mygcoder]

As an ex math teacher, I can say that your video is great. You made it easy to learn. Best wishes.

[southindianhomekitchen]

Thats the real and easy way to make a non mathematician like me to understand. Kudos Dr.Nic

[fifaham]

Very well explained, Dr. Nic. - Please enlighten us with more of your valuable videos.

[TheKrzyniu]

Hi Dr Nic! First, many thanks for this video it will certainly stay with me for a while.
Just two small notes:
1) I have to say that I was super confused by different ticks for the x axis on the graphs when you were comparing distributions. It has thrown me off to a point that I've initially thought that you've change the scale for this axis, after scratching my head for a while trying to figure out why on earth would you do that until I managed to figure out that the problem is with different ticks. It's probably caused by automated drawing of ticks to the plot, but it hurt my brain a bit until I got there
2) some of those overlaid images have some small composition issues, generally you don't want your body to be facing away from the center of the frame, I have to admit I cannot recall the last time when I've seen such composition creating such a strong feeling of bizzarness and out of placeness, I had to make up two words in one sentence just to be able to express it ;)


Regardless I still enjoyed this video a lot so I'm just sharing my constrictive criticism with you as I believe that addressing this points might help you reach a broader audience with your future videos which I hope to see coming up soon.
Many thanks again, keep up the good work and best wishes!

[bablobko]

Very good way to understanding a difficult concept. You are the bestest.

[arpanpokharel]

I am so much fan of you, with all those funny pictures and simple way of making things understand.

[alijassim]

You are awesome! Really loved the presentation layout and "expressions" XD. Lovely.

[PillsLifestyleReviews]

Amazing! You put so much effort into this video. A guy who occasionally miscounts their own fingers and toes might finally get it.

[manaulhoque]

"Hi, everybody!"
"Hi, Dr Nick!"

[jeremyweber]

Perfect for my stats class, thank you.