The Normal Distribution, Clearly Explained!!!

The normal, or Gaussian, distribution is the most common distribution in all of statistics. Here I explain the basics of how these distributions are created and how they should be interpreted.
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[@statquest]

Support StatQuest by buying my book The StatQuest Illustrated Guide to Machine Learning or a Study Guide or Merch!!! statquest.org/statquest-store/

[@santiagoramos1313]

this is kind of late but I was wondering how you got the standard deviation of baby height measurement is +/- 1.2 vs the standard deviation of adult heights of 8? How did we get the value of 1.2 and 8? I am not sure if I used the correct wording or if what I am asking make's sense but hope I can get an answer!

[@statquest]

@@santiagoramos1313 I just googled "average adult height" and found a table that listed the mean and standard deviation for the world and individual countries. I then did the same thing for babies. In other words, I didn't calculate those values, I just looked them up in a table.

[@santiagoramos1313]

@@statquest Ah I see! Thank you

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95% of people who went through this video would understand the Normal Distribution. Hooray!!! : )

[@statquest]

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[@kartikaykhattar96]

wouldn't such a stat be binomial distributed?

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These unexpected silly songs really relieve the pressure before getting into the subject. They are an integral part of the Statquest pedagogy, they act as a mind-opener :)))

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Haram

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For the first time I don't want a stats video to end so quickly! Awesome video I really enjoyed it thank you so much!

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I used to be very scared of statistics but after following your videos I just start loving it. It is helping a lot to me in data science field. Thanks

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[@lingze5436]

This video explains normal distribution more clearly and concisely than a 2-hour lecture at my university. Thank you!

[@statquest]

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[@alexanderlewzey1102]

These videos are literally amazing, every single one is so clear and well presented and the use of visuals is top notch. Can't wait for the central limit theorem one!

[@ai1888]

Please do Central Limit Theorem!

[@mariokartz1187]

dude, you make my day. every time I watch one of your vids I am usually super stressed bc our prof doesn't take the time to explain a darn thing. thanks a lot for making this free and enjoyable

[@statquest]

Happy to help!

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Luckily this video popped out in the beginning of my search list ! Such a clear explanation about Normal distribution that I was struggling to understand since years!

[@statquest]

Hooray! :)

[@zumdar]

wow this is so much easier to understand then my dense obtuse intro to stats textbook!! thank you so much, i had no idea what they were talking about in that dang book

[@statquest]

:)

[@mariobuzuk8850]

Clear and simple explanation. As most things are in the world. There is not complex or heavy themes or things. There is just people that do not know how to explain it because they do not understand them. I used this explanation for understanding limit of detection in analytical measurements. Thank you

[@mirageash2000]

Can't thank you enough for this! The simplest explanation of Normal Distribution EVER!

[@statquest]

Thank you! :)

[@bougi220]

best normal distribution explanation till now thanx

[@MadhushreeSinha]

this is an extremely precious channel whoever wants to start with stats... Thank you so much for making people's life easy by this channel. N, of course, the starting songs are really congenial.

[@statquest]

Thank you very much! :)

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Glad i found this chanell. Gonna watch all your videos 😊. Thank you!

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In love with your channel and your videos!It's destiny (:-P) that I stumbled across your channel a week before the placements!

[@statquest]

Thanks! :)

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I am just glad I stumbled upon this channel! Statistics was uncomfortable for my machine learning until I found this :)

[@statquest]

Hooray! :)

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Of course this is THE CHANNEL! KZbin's algos are really smart in recognizing the part of the world, that is craving for quality ML videos!

[@CocaBrunel]

I subscribed halfway through the intro. when you know, you know. Edit> I just watched the entire video, it's brilliant. A wonderfully concise overview of the subject. I'm always looking for videos like these to give me the core explanation that I can hang the details on to as I go. 5 minutes to explain what it takes a textbook 50 pages. I can't wait to watch the next video on the central limit theory. Thank you Josh great video.

[@statquest]

Wow, thanks!

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I completely agree with Em c!!! I am struggling and after a year, I found your video! For the first time, my head didn't hurt!!! Great, detailed instructional videos!!! Thank you

[@statquest]

Glad it helped!

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One Word! Simply Awesome. After 40 yrs of coming on this earth, today I understood normal distribution and standard deviation. Have been ignoring it since long to understand. Thank you.

[@statquest]

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Thank you. You just simplified my life

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This makes so much more sense now thank you

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[@statquest]

Thank you! :)

[@celva2]

You even didn't explain it until 5 minutes, but gave me a lot of what i need to know from Normal Distribution. Thank you for the video explanation

[@statquest]

Glad it was helpful!

[@iceandteas]

hello! thank you so much for these videos....ur carrying me through school right now :) - sad stats student

[@statquest]

Happy to help!

[@catirerubio]

Nothing dealing with math is ever easy, but this video makes the concept of normal distribution palatable. Thanks. A lot.

[@statquest]

Thanks!

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the best I've ever come across. THANK YOU!!

[@statquest]

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[@statquest]

Thank you very much!!! I really appreciate your support! :)

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I took many videos on KZbin channel in stats but I couldn't find it so clear..but this channel is simply superb made me clear

[@statquest]

Hooray! I'm glad my videos are helpful. :)

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where i've been all my life? the explanation if this channel is literally all i need *crying

[@statquest]

Happy to help! :)

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Wow! I have been struggling with this for a loooong time. Thank you so much

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Glad it helped!

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Thank you! I am taking doing statistics as a GCSE and this is immensely helpful, kudos!

[@statquest]

Thank you! :)

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Simple & excellent explanation ! I am a big fan of StatQuest videos.

[@statquest]

Hooray! Thank you!

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Great video! I will be using this in my classroom, thanks!

[@statquest]

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[@statquest]

Thank you!

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THANKYOU SO MUCH! DIDN'T FIND ANY VIDEO THAT EXPLAINED THIS BETTER!

[@statquest]

Glad it helped!

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This video is so helpful with simple and detail explanation , Thankyou so much

[@statquest]

Thanks!

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The intro made me smile when I am here begrudgingly. Thanks for that

[@statquest]

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man this song is hilarious, a really good stress reliever haha.

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[@statquest]

Thank you so much!!

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Hooray!!! Thank you for the encouragement! :)

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Magical lesson. . Superb , please keep it up. Thank you for such a great lecture

[@statquest]

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I am getting emotional You made the concept so easy to understand

[@statquest]

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Really good explanation !!

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You’re a life saver, needed this for psychology 🙏🙏🙏

[@statquest]

Good luck!

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At last!!! This video cleared my confusions. Thanks a lot.

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Glad it was helpful!

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Hooray! :)

[@emperorcyber509]

Thank you for your amazing videos. Can you please do a video on Gaussian mixture?

[@fahadreda3060]

Another Great Video, Thanks

[@YaiseAkuma]

I get teachers like to explain how this works as it is said on the syllabuses but as a person who has not heard of this i wouldn't understand anything, they should just explain it like this because now i know how to read a normal distribution graph and how to write one as well, thank you :)

[@statquest]

Thanks!

[@tomoe-chan565]

Thank you. I have an exam tomorrow about this and you helped me a lot!!

[@statquest]

Good luck! :)

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[@statquest]

@@linianhe Awesome! I hope you did well on the exam.

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Thanks a lot, professor, for the wonderful explanation on the Normal Distribution. Warm greetings from Uzbekistan.

[@statquest]

Many thanks!

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Thankyou! You've made this a lot easier to comprehend for a GCSE exam.

[@statquest]

Good luck!

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[@statquest]

Glad it was helpful!

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[@statquest]

Thank you!

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That was very clear and helpful, thank you!!!

[@statquest]

Thanks!

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Very clear and concise. Thank you.

[@statquest]

Thanks!

[@dipendrayadav6068]

Thank you so much for the clear explanation!

[@statquest]

You're very welcome!

[@ernestchieke900]

Wow, I like you. I just like you. 2 days of trying to understand normal Distribution!! You killed it in less than 5mins. Give me more with practical examples. 🤓

[@statquest]

I use the normal distribution many, many videos. For a complete list, see: statquest.org/video-index/

[@VougeCowboy]

Hi Josh. Your's and zedstatistics are the best channels about statistic on YT. I know it's not directly related to the video but I was wondering what kind of error or bias will I get if I use Shapiro-Wilk test on discrete data?

[@statquest]

Thanks! And I don't know the answer off the top of my head.

[@asmar5793]

Love your videos! Can you please do videos on Poisson, Binomial, Gaussian and other types of distributions? Thank you :)

[@statquest]

Glad you like the videos! I have one on the binomial: kzbin.info/www/bejne/gGnNf6J8YrBre5o and the good news is that the normal distribution is the same thing the Gaussian distribution, so you already know about that one. And I have a video on the exponential distribution (which is related to the poisson): kzbin.info/www/bejne/pmS3XpKCgtepeMU

[@AmirAli-id9rq]

All different kind of distribution with example will be handy , like poisson dist , t dist , F distribution ..... looking forward to it ....

[@bakhodirjonkakhkharov344]

Great explanation! Thank you a lot

[@statquest]

Thank you! :)

[@turalnagi]

so wonderful explanation... understood from half of the video

[@statquest]

Glad it was helpful!

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Your songs in the beginning of the videos are the BEST!

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that was amazing!! I HATE statistics and was on the verge of crying and then i stumbled upon your video and it helped a lot! thank you soooo much :)

[@statquest]

Hooray! :)

[@asdfg2941]

Me flipping the phone at the beginning cause the words were upside down LOL

[@statquest]

Ha! That's funny! :)

[@alecvan7143]

Short videos like these are awesome to rewatch when you understand concepts which build on them :). Reminds you of all the little things to more easily grasp concepts later on!

[@statquest]

Awesome!! :)

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This was a very useful video, thank u

[@statquest]

Thank you! :)

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I just found the masterpiece... Thanks Josh!

[@statquest]

bam!

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Simplest explanation i came across 👍👍👍👍👍

[@statquest]

Thank you! :)

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Thank you! Very helpful video :)

[@statquest]

Thanks!

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Thank you! I love your videos so I suscribed a few days ago... Thanks so much for your great content!

[@statquest]

Thanks!

[@robinfelix3879]

Hi, In recent times i started following you, you have done a amazing job. you made the concepts are pretty clear. It would be great if you make a video about Roadmap for machine learning (from your point of view). Thanks in advance :-)

[@statquest]

How about this: app.learney.me/maps/StatQuest

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Thanks, It made my day : Gaussian Distribution

[@statquest]

:)

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this is the best channel on KZbin

[@statquest]

Thanks!

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I now know what's the deal with standard deviation in the normal distribution. Thank you.

[@statquest]

bam!

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[@statquest]

Thanks!

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you guys are great. keep it up!!

[@statquest]

Thank you very much! :)

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Thanks! Finally I get it.

[@statquest]

Hooray! :)

[@gustav_ostervall_92]

Hello, Excellent video with succinct and clear information! I have a question. With which tests may one assume a standard distribution? I'm experiencing difficulties finding that information. Kind regards, Gustav.

[@statquest]

t-tests, ANOVA and linear regression all assume the residuals are normally distributed. For details, see: kzbin.info/aero/PLblh5JKOoLUIzaEkCLIUxQFjPIlapw8nU

[@tiffanyoldsoul]

this excellent and simple at the same time.

[@statquest]

Thank you! :)

[@nstar0708]

Hi, great videos for basic conceptual understanding. Can you make one about z-scores? I want to understand how the values are scaled, I think it does it across variables to account for differences in units.. but that stumps me up! Can you explain when to use it and when not to? Or any links where bloggers/ youtubers have already explained this properly 😅

[@statquest]

I'll keep that in mind.

[@vaibhavtyagi1379]

nice.., well drafted.. keep doing it

[@statquest]

Thank you! :)

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I don't know where I was , This is really great @ Thanks a lot :)

[@statquest]

:)

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You need to teach my university teachers how to teach..

[@statquest]

:)

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[@statquest]

Thanks!

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I clicked on your video of odds by mistake and thanks god this was the most profitable mistake I did in my life.

[@statquest]

bam!

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Even chatgpt couldnt break it down like this, I been fighting with it all day when all I need was 5 min of this video lol

[@statquest]

bam! :)

[@user-xc6wp1jb1k]

Thanks for the video, I have a question please: if a lower standard deviation in the adults' height curve suggests a lower probability of observing the average height compared to the baby's height curve, then how come the CI is still that 95% of obs. fall within 2 SD for any normal curve?

[@varunnayyar3138]

I see you reply to so many posts on LinkedIn in which you are tagged, now I saw that you reply to comments too. Great professor

[@statquest]

bam!

[@shivanisrivastava1567]

Lovely explaintion ❤

[@statquest]

Thank you!

[@AnkushSharma-zv5hv]

thanks for the simple explanation

[@statquest]

You're welcome!

[@isorokuyamamoto8423]

Good and simple explanation... if only they had youtube in the 90s i wouldn't be struggling to understand what is normal distribution...lol

[@statquest]

Thanks!