Honestly, this almost 10 minute video helped me understand something we were learning in class for like 2 weeks! Thank you so much!

@johnanderson8765

4 жыл бұрын

that two weeks of study is the reason you can enjoy this clip so much.

@aniruddha4672

4 жыл бұрын

@crni195 Like a true engineer you had to point out that you are one lol

@natureloving785

2 жыл бұрын

Superb Khan sir, am very pleased to study statistics as I watched your 10 minutes videos

@shakuntalakamade

Жыл бұрын

are you alive ?

Very, very cool stuff. Also, you're obviously a smart guy, Sal. But at the same time, you're incredibly accommodating to us students. Thank you for your sincerity and empathy, sir.

Drinking game: drink whenever you hear the word "sample"

@TeeNanners

6 жыл бұрын

i6mi6 I might need to play that game to get over my probability score... D;

@rogersyversen3633

6 жыл бұрын

no

@nellyaviles9342

6 жыл бұрын

lets just kill braincells before the exam..

@samdavepollard

6 жыл бұрын

Are you intoxicating that I'm insinuated?

@skyepaul261

6 жыл бұрын

I'm trying to study here shhh

Why can't teachers explain things this clearly, why do they have to act all scholarly?

@deepakrp

4 жыл бұрын

because they don't understand it either!

@alenjose3903

3 жыл бұрын

did u watch the next few lessons?

@yuningliu6300

3 жыл бұрын

because they are scholars, not pragmatist, like you !

@glennhenshaw7474

3 жыл бұрын

Well I think what's mostly going on is that there are different levels of understanding for a topic. Sometimes, if the explanation is not clear it's because the instructor is making room for some of the subtleties down the line. For example, imagine how confusing Newtonian mechanics would be if instructors always fixed the tiny error due to relativity. Or, like someone said below--maybe they don't have a clear understanding yet.

@blakeelzinga1168

3 жыл бұрын

a true mastery means that one can teach it simply and clearly

These videos have been tremendously helpful! Thank you SO MUCH for making them! The concepts make so much more sense when I can see them being worked out.

You explain this better than a textbook. You are a great!

cramming for my stats exam tomorrow

@EmberArcher

5 жыл бұрын

Cramming for my stats final today

@carterwest9504

4 жыл бұрын

same except in 20 minutes

@swatibiswas6796

4 жыл бұрын

Me rn

@CrunchyDark

4 жыл бұрын

Not cramming. :P trying to learn it as much as possible.

@thesevenkg

3 жыл бұрын

@@CrunchyDark big flex

you are amazing , thank you , not only for this video , but for all your videos that i have been using for 3 years :)

Fantastic explanation. A shame that most teachers are not educated enough to be able to understand and explain things like this to their students.

@sophiefeng2740

5 жыл бұрын

so true

@mrknarf4438

4 жыл бұрын

...and when they are educated, they start believing it's super obvious so they just tell you what it is without examples and in depth explanations and jump straight to the following topic, expecting you to have not only understood but also interiorized the concept.

@Saiphel

4 жыл бұрын

@@mrknarf4438 This so much. I love when they have 200 students in front of them and when the teacher asks for an answer to a question and nobody answer it's everyone else's fault. They never think maybe it's their fault they suck at teaching. Sal is amazing, I only wish topics were more in depth.

Dear Sal. I always skip all my calculus and statistics lectures and come straight to your videos. This has been the secret to my success in university. Thank you!

This video summed up in almost 10 minutes what I have been trying to understand in my textbook for the past week. Good stuff...thank you!

Thank you! Thank you so much! Thank you very much! I have been in Intro to Econometric class for 2 months already. I feel I understand more from your video for 10 minutes than in class for 2 months

So cool. I took Stats 101 about nine years ago, and these videos were there for me. I'm back in grad school now, and you're videos are helping me with Applied Stats once again. You rock!

@soumyaranjandas7394

8 ай бұрын

Can u explain me in somewhere.... actually I didn't get what is related to central limit theorem. Is it Sample size or no. Of samples from which we calculate mean.

You are helping me get through my graduate level quantitative analysis classes. Thank you so much ! =)

I was given 3 20 minute videos on this subject and I didn't understand a thing they were trying to tell me, but I watch one 10 minute video from you here, and I completely understand this now. Thank you so much, KA.

This video was posted 10 Years ago and still so useful! Such a crazy thing

went to lecture today and read the chapter and was clueless. I watched the first 7 minutes of this and the concept is crystal clear!!

Heck yeah, this is a great motivating video... gives an outline of the idea and why it's so cool and important!

I have been a mathematician all my life. I dropped out after middle school but started to get bored, so I bought some mathematics books with the answers at the back and used them to self-study for university entrance in the UK. That was 50 years ago before I graduated with scholarships for Oxbridge after gaining a double first-class in pure mathematics and theoretical computing. With hindsight, I feel your videos would have been really useful for statistics which I dropped for pure mathematics, applied mathematics, and physics. You are always highly recommended to all my tutees struggling with their education during this pandemic. Excellent material!

I like it that it's called Khan Academy. KHAAAAAAN!!

you guys are shaping history. thank you.

my teacher just mentioned the central limit theorem and did not explain it (in 1 week!) :D and I just spent 10 mins to watch this clip to understand what he tried to explain in 1 week (and no one understand) :D thank you so much!

I mean this is brilliant! Got me thinking and understanding deeply.

You just saved my life brv.....you explained in 9 minutes and 49 seconds ,what ive been trying to understand for the last 2 hours.

Best explanation out there. Thanks, Sal!

Nothing much to say how good you are, the video tells it all, keep up the good job!!!

may god bless you Sal!! You are my guru you are the voice in my head as i solve math

You just made life so much more interesting. Love you Sal! Will donate soon.

I'd like to really thank you for your videos. All of them with great didatics and only now made some aspects of statistics very clear for me :)

Thank you for your clear explanation. You are a world class educator!

It's been 13 years since upload and people like me are still using these videos... Great explanation!

Thanks! Got a test that includes this section next week and it had me stumped

I never took a stats class in high school or college and the bootcamp class I am currently taking does not do a good job at explaining this theorem. So who do I turn to? Sal! I grew up with you and you are still helping me learn even in my near thirties. Thank you!!!!

khan is awesome ! Im in this course that could not explain this well. I need to know the principle and Khan blew it out of the water ! I know the principle and the APPLICATION ! sweet

This channel is a life saver!

THANK YOU!! Your videos are amazing, such an amazing and intelligent man!

I love you man it's a lot of fun learning this stuff. Thanks a lot

Thank you for this explanation. I would like to ask you a question. If we got a distribution (probably heavy tailed) and take many samples with different size (for example the first sample will have 30 samples, the second 40, the third 34, the fourth 51 and so on) will then the distribution of those samples be normal?

A good way to explain CLT. From an unknown discrete distribution to converge to a normal distribution.

helped me to pass my statistic class. thank you!

Very instructive video!

Thank you very much for this very clear explanation!

"1" is one element of the sample, so is another "1", as well as "3" and "6", therefore there are 4 total elements that comprise the whole sample, thus the sample size, n, is equal to 4. It's 4 in this case because that is the sample size this person decided to use for his test. Higher sample sizes usually lead to more accurate tests. If I say "What is the sample size of all possible outcomes on rolling a die?", there would be 1, 2, 3, 4, 5 and 6, meaning n=6.

Oh man, that is SO logical!

Much better explanation than my textbook, thank you so much

Done thanks 4:30 looking at the SAMPLE MEANS (taking a sample of n measurements, then averaging those n measurements is the sample mean), doing this for x samples of n measurements we have x sample means The distribution of these sample means tend towards a normal distribution as we take more samples. Also as the sample size the number of measurements in each sample increases, the sample means distribution approximates normal even more

The video is simply beyond cool. Thank you so much sir.

Once again Khan Academy saved me from the state of I am not able to understand to how easy is this stuff. Thanks

Your video is easy to understand. Thank you^^

If x = 1,3,4 or 6 and the sample size is 4, there would be 4*4*4*4 possibilities i.e. 4^4 possibilities =a maximum of 256 possible outcomes so by taking 10,000 samples you will be repeating each 1 about 40 times.

@noahschuler6388

5 жыл бұрын

Henna George yes, and if you take an infinite amount of samples, the distribution of the sample means will show the probability of getting each sample.

thanksss, i loved your video, i was looking to prove CLT and it clarified niceee

Thanks for the explanation!

Thank you so much for a clear explanation.

This was a very useful video. Thank you so much. Clear and interesting explanation. Although the "peak" of the normal distribution should be around 3.5 in your example, not 2.75. Since that's the mean. Right?

Thankyu so so much!!!!!

Very helpful! thank you so much, Sir!

OMG!!!u r much better then my lecturer!!! He talks like a computer n I can just keep copying the solution of the examples during the class!!!! I understand much better becoz of u!!!!!!thx a lot!!!!!!!!!!!

thanks. This is way more straight forward than the aihl textbook

Thank you for very nice and instructive Probability series. I would like to see mathematical analysis of random walks - will you create it?

This is extremely well explained ! Thank you teacher.

I heard about the elegance of math: think I just got it!

Very clear. Thank you

God bless you ! I got this after 10 years...

Great explanation!!

You can use the word "observations" for the elements in a sample.

you nailed it. thanx a lot

damn this is actually really cool

Very Good example ... I was having problems with figuring out how the individual mean element was obtained...

I love statistics!

Jeez, thanks for driving it home! You need to get with a publisher and go wide, you explain in the most basic, and common fundamental way for easy learning.

Beautiful. Made my day.

great xplanations sir...thanks so much...

Thank u so very much u helped me a lot

YOU ARE SO AMAZING. PLEASE KEEP DOING WHAT YOU'RE DOING. I need to pass my exams...

@ahmethamdicelik1277

4 жыл бұрын

have you passed?

i've figured him out... He went to a good school and learned this beginner subjects and mastered them because of good teachers, and then he words it into a 10 min video and impresses all of us...

You, sir, are The Real MVP!

Khan is getting me through college

would there ever be an instance where there is skew on the "normal distribution curve" that CLT produces?

awesome video!!

Very nice explanation. Hats off.

great work..

Central limit theorem = mind blown

It is good to know that your brain malfunctions from time to time, too lol Thanks for the great videos!!!

thank u, so helpfull!

THANK YOU!!!

great vid!

Thanks so much !

This was beautiful

U r helping me a lot :D

this man khan do anything

it's really helpful

As the sample size (i.e "n") increases the sample distribution starts looking more and more like the normal distribution. Does it have to do with also the number of samples taken? If I were to take 10000 or 100 sample of the same sample size (n) then would both have the normal distribution? Thanks!

Thanks Sal !

Sal.... Your my rockstar!

@versus13

7 жыл бұрын

Your welcome

You are just awesome..!

Yeah fuck this I'm going to bed

@leek.3671

6 жыл бұрын

This is not the comment I needed to see at 11:14pm with my exam in two days (not tomorrow, but the day after) hahahaha XD Perhaps its a sign lol

@GoblinDigital

6 жыл бұрын

If its a sign wouldn't that mean it is the comment you needed to see? Would imply you should work your ass off so you're not cramming last day...

It's sad how many people commented here saying that their teacher could not explain it. It seems most teachers are not good at their jobs. Where in the world would we be if we didn't have contents like Khan Academy?? Thanks to the internet. Thanks to people like Sal

You have a great channel. I am in a master's degree program, and I still use your site.

who's out here cramming for the ap stat exam thursday

thank you so much! ^^