The Central Limit Theorem Clearly Explained!

Here I've tried to explain the famous Central Limit theorem with visualizations!
#statistics #datascience
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[@NormalizedNerd]

Note: At 0:34 I really shouldn't have used the term 'probability' as it doesn't make any sense to talk about the probability of a single point in a continuous distribution. 'Probability' only makes sense when we consider an area. Here 0.5 is just the probability density.

[@mansourhassanosman272]

Why thr hight of the histogram is 10 and what that represent 1:29

[@NormalizedNerd]

As I mentioned in the video, y axis represents "frequency density". The x-axis is divided into bins of equal size (0.1). When you multiply the height(10) by the width (0.1) you get the count of sample means corresponding to that bin. At first the count is 1 and it (0.95) lies in the bin (0.9 - 1.0). In the 2nd histogram (11 times) if you calculate the sum of the areas of all the rectangles you'll get 11.

[@notsoclearsky]

Lol 3b1b made this exact video now

[@samberry3761]

Really appreciate your videos - watching one a day to learn/brush up on interesting concepts - keep it up!

[@NormalizedNerd]

Thanks man!

[@PowerhouseCell]

As someone who also uses some Manim for my videos, I appreciate how much work went into this video. Well done! :)

[@NormalizedNerd]

Thanks man!
I just watched one of your videos and I literally thought Grant is explaining DNA. You just earned a subscriber who ditched Biology for Statistics in high school!

[@PowerhouseCell]

@@NormalizedNerd Haha I appreciate it, thanks!

[@atreyamajumdar9836]

One of my most favourite theorems! It is also very important in physics and other scientific fields.

[@NormalizedNerd]

Yeah...it appears in many many situations.

[@junoli8294]

Love your videos. Please keep updating!!

[@XoXkS]

I did not like the the statQuest click Bait title (Sorry if it was not intended).
But the explanation and animation was very good, thank you!
You talked too fast for me at some places, talking slower would be nice.
Keep up the good work

[@NormalizedNerd]

Thanks for your honest feedback!

[@LightChu2.7183]

Thanks alot!!!

[@consistentthoughts826]

wow !! graphics is almost same as 3blue1brown

[@NormalizedNerd]

Thanks! I'm using his opensource library!

[@janjoecarcillar]

Awesome video! I'm starting out in manim too and stuck in trying to create histograms. Could you suggests some sources to help me out? Thanks.

[@NormalizedNerd]

I'm learning from:
manim github repo (see issues)
r/manim (subreddit)
Theorem of Beethoven (YT channel)
talkingphysics (blog)

[@janjoecarcillar]

@@NormalizedNerd Thanks we pretty much have the same resources. Will dig more so I can make animations like yours. Thanks

[@sumitlahiri209]

Why are these videos not recommended? The view count really needs to increase.

[@NormalizedNerd]

RUclips algorithm doesn't find this channel attractive I guess 🤷 Keep supporting ❤️

[@sumitlahiri209]

@@NormalizedNerd Yeah.

[@thetensordude]

Awsome explanation!!!!

[@NormalizedNerd]

Thanks a lot!

[@PsynideNeel]

Nice

[@NormalizedNerd]

Thanks

[@theankitkurmi]

Really great video.

[@NormalizedNerd]

Thank you!