The Normal Distribution, Clearly Explained!!!

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  • เผยแพร่เมื่อ 26 ม.ค. 2025

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  • @statquest
    @statquest  2 ปีที่แล้ว +44

    Support StatQuest by buying my books The StatQuest Illustrated Guide to Machine Learning, The StatQuest Illustrated Guide to Neural Networks and AI, or a Study Guide or Merch!!! statquest.org/statquest-store/

    • @santiagoramos1313
      @santiagoramos1313 11 หลายเดือนก่อน +1

      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
      @statquest  11 หลายเดือนก่อน +1

      @@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
      @santiagoramos1313 11 หลายเดือนก่อน +1

      @@statquest Ah I see! Thank you

    • @LethiusKoema
      @LethiusKoema 9 หลายเดือนก่อน +1

      Thanks. Its helps me from my today's test

  • @SamTechWorld9
    @SamTechWorld9 3 ปีที่แล้ว +656

    I swear, TH-camrs like you should be the new college professors.

    • @statquest
      @statquest  3 ปีที่แล้ว +64

      bam!

    • @vaibhavpandey7398
      @vaibhavpandey7398 2 ปีที่แล้ว +36

      He is in biotech stats for 20 yrs. Bam

    • @isaaccarroll2092
      @isaaccarroll2092 2 ปีที่แล้ว +12

      @@vaibhavpandey7398 Double bam!

    • @DHWOJPRATIK
      @DHWOJPRATIK 2 ปีที่แล้ว +8

      @@isaaccarroll2092 Triple Bam !

    • @kantui100
      @kantui100 2 ปีที่แล้ว +2

      @@DHWOJPRATIK Triple bam😱

  • @sugandharaghav2609
    @sugandharaghav2609 5 ปีที่แล้ว +193

    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

    • @lalthekair
      @lalthekair 2 ปีที่แล้ว +2

      oooo how's the data science field been so far? i'm majoring in CS and was/am considering going into data science after my bachelor's

    • @HelloAnnyong
      @HelloAnnyong ปีที่แล้ว

      @@lalthekair Data is huge right now and I think it would be a safe direction to specialize in.

  • @emc3319
    @emc3319 4 ปีที่แล้ว +251

    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!

    • @statquest
      @statquest  4 ปีที่แล้ว +10

      Thank you very much! :)

  • @Privacy-LOST
    @Privacy-LOST 5 ปีที่แล้ว +525

    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 :)))

    • @statquest
      @statquest  5 ปีที่แล้ว +19

      Thank you very much! :)

    • @alecvan7143
      @alecvan7143 4 ปีที่แล้ว +10

      That's an awesome point!

    • @dsd1610
      @dsd1610 3 ปีที่แล้ว +3

      Damn, it sure is !!

    • @vladimirbosinceanu5778
      @vladimirbosinceanu5778 3 ปีที่แล้ว +2

      @@alecvan7143 Indeed.

  • @nit235
    @nit235 4 ปีที่แล้ว +331

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

    • @statquest
      @statquest  4 ปีที่แล้ว +23

      BAM! :)

    • @kartikaykhattar96
      @kartikaykhattar96 3 ปีที่แล้ว +5

      wouldn't such a stat be binomial distributed?

    • @LogicQuest
      @LogicQuest 2 ปีที่แล้ว +8

      @@statquest double BAM !

    • @hetanshthakore5886
      @hetanshthakore5886 2 หลายเดือนก่อน +1

      ​​@@kartikaykhattar96 I believe yes as there are only 2 possible outcomes.
      However if the question is something like percentage understanding or confidence level in percentage it will likely be normally distributed.

  • @paulpaschert6215
    @paulpaschert6215 5 ปีที่แล้ว +226

    when the phrase "clearly explained" isn't just an empty notion there is a 95% propability that u are watching StatQuest!

  • @mariokartz1187
    @mariokartz1187 3 ปีที่แล้ว +11

    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
      @statquest  3 ปีที่แล้ว +1

      Happy to help!

  • @alexanderlewzey1102
    @alexanderlewzey1102 6 ปีที่แล้ว +35

    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
      @ai1888 6 ปีที่แล้ว

      Please do Central Limit Theorem!

  • @lingze5436
    @lingze5436 ปีที่แล้ว +37

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

  • @chandanarajopadhyaya9200
    @chandanarajopadhyaya9200 4 ปีที่แล้ว +33

    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
      @statquest  4 ปีที่แล้ว +1

      Hooray! :)

  • @mirageash2000
    @mirageash2000 5 ปีที่แล้ว +32

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

    • @statquest
      @statquest  5 ปีที่แล้ว +1

      Thank you! :)

  • @MadhushreeSinha
    @MadhushreeSinha 4 ปีที่แล้ว +7

    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
      @statquest  4 ปีที่แล้ว

      Thank you very much! :)

  • @g3141s
    @g3141s ปีที่แล้ว +1

    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.

  • @Sripooja.Mahavadi
    @Sripooja.Mahavadi 5 ปีที่แล้ว +51

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

    • @statquest
      @statquest  5 ปีที่แล้ว +2

      Hooray! :)

    • @BharCode09
      @BharCode09 5 ปีที่แล้ว +1

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

  • @zumdar
    @zumdar 3 ปีที่แล้ว +25

    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

  • @CocaBrunel
    @CocaBrunel 3 ปีที่แล้ว +19

    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
      @statquest  3 ปีที่แล้ว

      Wow, thanks!

  • @robperri3491
    @robperri3491 5 หลายเดือนก่อน +1

    Did a Google search for the best youtube channels to learn basic stats. I am so glad i found your channel. I am doing a final year of my bachelor and I am doing an online stats course which is not easy to understand. I find that I can "just get by" on the quizes and assignments but I am not really understanding the material. I don't want to just pass, I want to be able to apply stats in business problems (I am a mature student...meaning I am old). Your channel is helping me truly understand stats.
    Thank You

    • @statquest
      @statquest  5 หลายเดือนก่อน

      Thank you! I'm glad my channel is helpful.

  • @mariobuzuk8850
    @mariobuzuk8850 5 ปีที่แล้ว +3

    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

  • @jesshall1622
    @jesshall1622 6 หลายเดือนก่อน +1

    Thank you so much for this.
    I spent a good hour re-reading the subchapter on gaussian distribution in my university textbook and I just could not wrap my head around it. This video made it so simple and it has finally "clicked" in my tired, frustrated brain.
    Very much appreciated

    • @statquest
      @statquest  6 หลายเดือนก่อน

      Glad it was helpful!

  • @bougi220
    @bougi220 6 ปีที่แล้ว +10

    best normal distribution explanation till now
    thanx

  • @celva2
    @celva2 ปีที่แล้ว +3

    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
      @statquest  ปีที่แล้ว

      Glad it was helpful!

  • @baiqajwas4185
    @baiqajwas4185 ปีที่แล้ว +1

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

    • @statquest
      @statquest  ปีที่แล้ว

      Happy to help! :)

  • @christinaibrahim7955
    @christinaibrahim7955 2 ปีที่แล้ว +1

    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
      @statquest  2 ปีที่แล้ว

      Glad it helped!

  • @catirerubio
    @catirerubio 11 หลายเดือนก่อน +1

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

    • @statquest
      @statquest  11 หลายเดือนก่อน

      Thanks!

  • @r.prasannavenkatesan9879
    @r.prasannavenkatesan9879 4 ปีที่แล้ว +6

    This channel is extremely good due it's content. Thanks a lot for your service!

    • @statquest
      @statquest  4 ปีที่แล้ว

      Thank you! :)

  • @iceandteas
    @iceandteas ปีที่แล้ว +2

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

    • @statquest
      @statquest  ปีที่แล้ว

      Happy to help!

  • @zamanmakan2729
    @zamanmakan2729 4 ปีที่แล้ว +16

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

  • @CloudslnMyCoffee
    @CloudslnMyCoffee 11 หลายเดือนก่อน +2

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

    • @statquest
      @statquest  11 หลายเดือนก่อน +1

      bam! :)

  • @karthikeyanradhakrishnan3219
    @karthikeyanradhakrishnan3219 5 ปีที่แล้ว +22

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

  • @cagatayata4622
    @cagatayata4622 2 ปีที่แล้ว +1

    I bought your book - subscribed to your channel. This is the best channel/webpage i have ever seen. Much appreciated.

    • @statquest
      @statquest  2 ปีที่แล้ว +2

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

  • @emilyinnoire
    @emilyinnoire ปีที่แล้ว +1

    His enthusiasm for statistics can't help but put a smile on my face while facing my sworn enemy.

  • @santhanalakshmism22
    @santhanalakshmism22 4 ปีที่แล้ว +1

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

    • @statquest
      @statquest  4 ปีที่แล้ว +1

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

    • @santhanalakshmism22
      @santhanalakshmism22 4 ปีที่แล้ว

      Very very helpful 🤩🤩 because I searched many videos of stats with practical examples but nothing seemed to be helpful..atlast I found yours 🤩❤️love it

    • @santhanalakshmism22
      @santhanalakshmism22 4 ปีที่แล้ว

      @@statquest also please continue uploading many videos

  • @KP-ky1sn
    @KP-ky1sn 2 ปีที่แล้ว +9

    Strange that we have to look for online resources like this one to try to make sense of normal distribution after we have signed up for a paid course thats supposed to teach us the concept. Lecturers and course material just assume most people know distribution at a certain level.

    • @statquest
      @statquest  2 ปีที่แล้ว +1

      Happy to help!

  • @ashantiaf4657
    @ashantiaf4657 ปีที่แล้ว +2

    This makes so much more sense now thank you

  • @qurti5949
    @qurti5949 หลายเดือนก่อน +1

    thanks a lot for your work, really helped me to understand the normal distribution better than anything i've read/watched before!

    • @statquest
      @statquest  หลายเดือนก่อน

      Glad it helped!

  • @hariharanshastry9097
    @hariharanshastry9097 ปีที่แล้ว +1

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

  • @klausvery
    @klausvery ปีที่แล้ว +1

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

  • @linianhe
    @linianhe 2 ปีที่แล้ว +1

    all these jingles at the beginning of the videos!!! love them!

    • @statquest
      @statquest  2 ปีที่แล้ว

      Hooray! :)

    • @linianhe
      @linianhe 2 ปีที่แล้ว

      @@statquest BAM! I just finished my exam today. Your videos are super helpful and also fun. Now I don't watch them for the sake of exams just simply for fun.

    • @statquest
      @statquest  2 ปีที่แล้ว

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

  • @GRETKKAA
    @GRETKKAA ปีที่แล้ว +2

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

  • @fafablablabla
    @fafablablabla 2 ปีที่แล้ว +1

    The moment I heard your singing in the beginning, I just press subscribe button.
    I really like your intro so much! It motivates me more to learn :D

    • @statquest
      @statquest  2 ปีที่แล้ว +1

      Thank you so much!!

  • @MayaBastah
    @MayaBastah 4 ปีที่แล้ว +41

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

  • @pritamdesienglishfitness
    @pritamdesienglishfitness ปีที่แล้ว +2

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

  • @NihouNi
    @NihouNi ปีที่แล้ว +2

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

    • @statquest
      @statquest  ปีที่แล้ว +1

      Good luck!

    • @NihouNi
      @NihouNi 11 หลายเดือนก่อน +1

      @@statquest Thankyou. My son got a 6, so we were delighted with that pass.

    • @statquest
      @statquest  11 หลายเดือนก่อน

      @@NihouNi Congratulations! TRIPLE BAM! :)

  • @tomoe-chan565
    @tomoe-chan565 ปีที่แล้ว +1

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

  • @ernestchieke900
    @ernestchieke900 4 ปีที่แล้ว +2

    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
      @statquest  4 ปีที่แล้ว +1

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

  • @peteradah1045
    @peteradah1045 8 หลายเดือนก่อน +1

    God bless you TH-camrs....really I can't explain how much I've learnt so much..

    • @statquest
      @statquest  8 หลายเดือนก่อน

      Thanks!

  • @shresthadebnath2544
    @shresthadebnath2544 10 หลายเดือนก่อน +1

    I have statistics as a part of psychology. This video was quite helpful. ❤❤❤

    • @statquest
      @statquest  10 หลายเดือนก่อน

      Glad it was helpful!

  • @mmxliss
    @mmxliss 10 หลายเดือนก่อน +1

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

    • @statquest
      @statquest  10 หลายเดือนก่อน

      Good luck!

  • @beumally7402
    @beumally7402 2 ปีที่แล้ว +1

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

    • @statquest
      @statquest  2 ปีที่แล้ว

      Glad it helped!

  • @ibrahimnada4702
    @ibrahimnada4702 ปีที่แล้ว +1

    this is the best channel on TH-cam

  • @harishnagamalla697
    @harishnagamalla697 2 ปีที่แล้ว +1

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

  • @karishmayadav1391
    @karishmayadav1391 11 หลายเดือนก่อน +1

    Completely in love with this channel ❤️

    • @statquest
      @statquest  11 หลายเดือนก่อน

      Thank you!

  • @rekhachander9985
    @rekhachander9985 3 ปีที่แล้ว +1

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

    • @statquest
      @statquest  3 ปีที่แล้ว

      Glad it helped!

  • @durgeshanand6774
    @durgeshanand6774 4 หลายเดือนก่อน

    I liked the explanation. Just one small thing i would like to add which many people might overlook.
    In real life situations, we do not draw the curve such that its width is defined by the std dev.
    Its the other way around. Like we just have data points from which we plot the curve. Then if its a curve satisfying these parameters discussed in the vid, we named it normal disrtibution. So , for example "Peak of the curve is given by avg" is not same as "peak of the curve happens to be the avg".
    Idk if i explained it properly but i jusy wanted to point out that the bell curve is not bound to follow these avg and std dev values, more like in this case of disrtibution, which we call as normal, the avg, std dev etc values fall in such that, say 95% of data is inside avg +- sigma width.

  • @GaviniLok
    @GaviniLok 2 ปีที่แล้ว +1

    How could you find the standard deviations of the curve at 2:57 min?

    • @statquest
      @statquest  2 ปีที่แล้ว +2

      I describe how to calculate standard deviations in this video: th-cam.com/video/SzZ6GpcfoQY/w-d-xo.html

  • @darbhamullaeswaraphanipras6356
    @darbhamullaeswaraphanipras6356 4 ปีที่แล้ว +1

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

    • @statquest
      @statquest  4 ปีที่แล้ว

      Hooray! Thank you!

  • @YaiseAkuma
    @YaiseAkuma 2 ปีที่แล้ว +1

    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 :)

  • @nurhusni
    @nurhusni 3 ปีที่แล้ว +2

    3:27 How did you get +-1.2 inches & +-8 inches? You only said that 95% of data are within 2 sdv but you didn't explain how to calculate the range approximation.

    • @statquest
      @statquest  3 ปีที่แล้ว

      For any normal curve, 95% of the data are within 2 standard deviations of the mean. This is just the way those curves are defined. So, since we know the standard deviations of both curves, we can just multiply them by 2 to find out what 2 standard deviations are.

  • @clemlee4641
    @clemlee4641 4 ปีที่แล้ว +6

    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
      @statquest  4 ปีที่แล้ว +1

      Hooray! :)

  • @TheFelicity2001
    @TheFelicity2001 6 ปีที่แล้ว +4

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

  • @varunnayyar3138
    @varunnayyar3138 3 ปีที่แล้ว +1

    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

  • @quickbiology5159
    @quickbiology5159 3 หลายเดือนก่อน +1

    Its super super exciting to watch your video ,you are doing great job i always had fear of learning statistics but you explained in a very simple way,,Thank you You are awesome

    • @quickbiology5159
      @quickbiology5159 3 หลายเดือนก่อน +1

      one more thing can you explain poison distribution

    • @statquest
      @statquest  3 หลายเดือนก่อน

      Thank you so much 😀!

    • @statquest
      @statquest  3 หลายเดือนก่อน +1

      I'll keep that in mind.

  • @aion2177
    @aion2177 5 ปีที่แล้ว +2

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

  • @turalnagi
    @turalnagi 2 ปีที่แล้ว +1

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

    • @statquest
      @statquest  2 ปีที่แล้ว

      Glad it was helpful!

  • @mizzhuda101
    @mizzhuda101 2 หลายเดือนก่อน +1

    for the low probability of measuring a man +/- 2 standard deviations from the mean, he meant 8 inches right? Not 1.2 because that is the standard deviations of the babies?

    • @mizzhuda101
      @mizzhuda101 2 หลายเดือนก่อน

      ok nevermind i understand. 95% of the curve is represented +/- 2 sd from the mean, so saying there is low probability within its own sd from the mean is not right. But, if compared to the standard deviation of the babies which is a lot low than adult males, then it would have low probability.

    • @statquest
      @statquest  2 หลายเดือนก่อน

      yep

  • @hardikkamboj3528
    @hardikkamboj3528 4 ปีที่แล้ว +14

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

  • @barneyy6942
    @barneyy6942 3 ปีที่แล้ว +1

    I have a doubt. At 1:04, why did you use the term "relative probabailities"? Also, does that mean that there is something called absolute probabilities?

    • @statquest
      @statquest  3 ปีที่แล้ว

      Technically, there are "likelihoods" and "probabilities". The y-axis coordinates are called "likelihoods", and the area under the curve corresponds to probabilities. That said, in english, the words "likelihood" and "probability" are often used interchangeably (even though they refer to different things in statistics) which is why I used the term "relative probability"

  • @dsd1610
    @dsd1610 3 ปีที่แล้ว +2

    I just found the masterpiece... Thanks Josh!

  • @amirmohammadjalili2676
    @amirmohammadjalili2676 2 ปีที่แล้ว +1

    This channel is my favorite by far. And the second place goes to 3blue1brown.

    • @statquest
      @statquest  2 ปีที่แล้ว +1

      Wow! Thank you very much!

  • @limlam22
    @limlam22 3 ปีที่แล้ว +1

    commenting because the yt algo needs to favor statquest

  • @tonmoyhasan6738
    @tonmoyhasan6738 3 ปีที่แล้ว +1

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

    • @statquest
      @statquest  3 ปีที่แล้ว +1

      Glad it helped!

  • @uvimperia7070
    @uvimperia7070 21 วันที่ผ่านมา +1

    I'm on my way to college I have a presentation today and guess what you explained me this quite well !!

    • @statquest
      @statquest  21 วันที่ผ่านมา

      Good luck!

  • @daksh_sagar
    @daksh_sagar 6 ปีที่แล้ว +2

    So glad I found such an awesome channel !

  • @isorokuyamamoto8423
    @isorokuyamamoto8423 3 ปีที่แล้ว +2

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

  • @AaliyaKhan
    @AaliyaKhan ปีที่แล้ว +1

    My God. It's shocking how clearly i finally understood this, 12 years after graduating with a Masters in Economics!

  • @almuzammilrecruitingagency
    @almuzammilrecruitingagency 3 ปีที่แล้ว +2

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

  • @thanhtrungnguyen4722
    @thanhtrungnguyen4722 4 ปีที่แล้ว +2

    Really love it. Thank you so much StatQuest!

  • @srinivasnpatil429
    @srinivasnpatil429 5 ปีที่แล้ว +4

    Thanks for such a nice explanation. May I know the applications of normal distribution in machine learning?

    • @statquest
      @statquest  5 ปีที่แล้ว +1

      I think that if you really want to be good at ML, you need to understand data, and the normal distribution is one of the most fundamental concepts for understanding data.

  • @NoireBIanc
    @NoireBIanc ปีที่แล้ว +4

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

    • @statquest
      @statquest  ปีที่แล้ว

      Ha! That's funny! :)

  • @caiosuzartt
    @caiosuzartt 7 ปีที่แล้ว +4

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

  • @RP49Music
    @RP49Music ปีที่แล้ว +2

    Thank you! Very helpful video :)

  • @Tsxvb108
    @Tsxvb108 4 ปีที่แล้ว +1

    Simplest explanation i came across 👍👍👍👍👍

    • @statquest
      @statquest  4 ปีที่แล้ว

      Thank you! :)

  • @VyLeHaQuynh
    @VyLeHaQuynh 9 วันที่ผ่านมา

    Hello, I want to ask a question that at the 02:08, why we can state that we can looking and tell the new born baby will be between 19 and 21 height? Where we choose number 19 and 21? Thank you for your videos and hope you can help me to answer!

    • @statquest
      @statquest  9 วันที่ผ่านมา +1

      The x-axis has height measured in inches, and we can use that to determine what range of heights corresponds to the peak of each curve.

  • @juliannagoldbas3238
    @juliannagoldbas3238 2 ปีที่แล้ว

    I think there's a typo in minute 4:06 of this video. Shouldn't it say that "and there is a low probability of measuring a man within +/- 8 inches of the mean." ?

    • @statquest
      @statquest  2 ปีที่แล้ว

      No, that is correct. We are comparing an area the same width between both distributions.

  • @hackein9435
    @hackein9435 4 ปีที่แล้ว +1

    Thanks, It made my day : Gaussian Distribution

  • @magelauditore333
    @magelauditore333 4 ปีที่แล้ว +5

    I think someone is very big fan of Barney Stinson. And his teaching is legen-wait for it-dary

  • @ashwinikokil6718
    @ashwinikokil6718 6 ปีที่แล้ว +5

    Hello,I got confused at the last part. 😭😭
    I don't understand why it is not ".....low probability of measuring a mean within +/- 8 inches of the mean"? (4.08 min)
    Please help😢😢

    • @statquest
      @statquest  6 ปีที่แล้ว +4

      At 3:20 I show that 95% of the measurements of adult males fall between 70 +/- 8 inches. In other words, the probability of measuring an adult that has a height somewhere between 70 +/- 8 inches is 95%. This is a pretty high probability. In contrast, at 4:06, we are looking at the probability of measuring an adult that has a height somewhere between 70 +/- 1.2 inches of the mean. In this case, there is a relatively low probability, especially when compared to measuring a baby with a height somewhere between 20 +/- 1.2 inches. Does this make sense?

    • @ashwinikokil6718
      @ashwinikokil6718 6 ปีที่แล้ว +1

      @@statquest thanks 😊😊

  • @jorgel4415
    @jorgel4415 3 ปีที่แล้ว +1

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

  • @AshishSingh-xf2xz
    @AshishSingh-xf2xz ปีที่แล้ว

    There is a typo at 4:13 - it says "there is a low probability of measuring a man within +/- 1.2 inches" but it should be +/- 8 inches. Although, Thank you so much for such an easy explanation.

    • @statquest
      @statquest  ปีที่แล้ว

      The video is correct. If it were +8/-8 inches, then the probabilities would be equal, and that was already illustrated at 3:20. In contrast, at 4:13 what I'm trying to show is that two windows, both the exact same size (+/- 1.2 inches around the mean) can result in different probabilities if the standard deviations of the distributions are different.

  • @technodreamyt7296
    @technodreamyt7296 4 วันที่ผ่านมา +1

    I cant understand math but then look at this, i learned how to sing

    • @statquest
      @statquest  4 วันที่ผ่านมา

      bam?

  • @clariselclozano5081
    @clariselclozano5081 3 ปีที่แล้ว +1

    My UNC Chapel Hill stats professor wasn’t this friendly 😒. Great video btw ☺️👍🏼

    • @statquest
      @statquest  3 ปีที่แล้ว

      Thanks! BAM! :)

  • @therocker1212
    @therocker1212 ปีที่แล้ว

    4:11 shouldnt it also be a high probability measuring a man within +/- 1.2 inches of the mean? thanks

    • @statquest
      @statquest  ปีที่แล้ว

      No, it's relatively low probability because there is a lot more variation in the the height of adults.

  • @Ana-wx8jm
    @Ana-wx8jm 4 ปีที่แล้ว

    So in the chart @3:40, is the y axis probability? If so, then for the adult height curve, even if we take mean +- 2 sd, the probability will be low as the point will be equal to only a low y axis value. But since this should be 95% of all data, the probability should be high right? I'm confused. Can someone explain?

    • @statquest
      @statquest  4 ปีที่แล้ว +1

      I should have been more clear when I said that the y-axis represented a "relative probability" and instead, put more emphasis on the fact that the y-axis is not exactly probability. Probability is the area under the curve, and for each curve, the area adds up to 1 (in other words, there is a 100% chance that a baby will have some value under its curve and a 100% chance that an adult will have some value under its curve.)

    • @statquest
      @statquest  4 ปีที่แล้ว

      For more details, see my video on maximum likelihood: th-cam.com/video/XepXtl9YKwc/w-d-xo.html

  • @AG-cx1ug
    @AG-cx1ug 2 ปีที่แล้ว

    4:13 But is there a high probability of measuring the height of a man within 8 (the 2sd) inches of the mean?

  • @sanlapbiswas4093
    @sanlapbiswas4093 ปีที่แล้ว +1

    I like the way give your spoilers!!! you are a buddy indeed.

  • @amragl
    @amragl 2 ปีที่แล้ว

    Fantastic video, the only thing that could make it better is the chinnese subtitles over the english subtitles. Thank you.

  • @majanastic5168
    @majanastic5168 9 หลายเดือนก่อน +1

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

    • @statquest
      @statquest  9 หลายเดือนก่อน

      Thanks!

  • @sravyasirikonda1117
    @sravyasirikonda1117 8 หลายเดือนก่อน +5

    I wish there were multiple times to like the video

    • @statquest
      @statquest  8 หลายเดือนก่อน

      bam! :)

  • @drMABFayyaz
    @drMABFayyaz 2 ปีที่แล้ว

    Hi, Loving your lectures so thank you for this. Just a quick one at 4:11...you mean +/- 4 inches for adults, not +/- 1.2 inches..right? did I miss something ?

    • @statquest
      @statquest  2 ปีที่แล้ว +1

      You missed something. At that I'm trying to illustrate how the standard deviation of the infants is relatively narrow compared to the standard deviation for adults, and when we use the standard deviation for infants on the distribution for adults, we do not cover much of it.

    • @drMABFayyaz
      @drMABFayyaz 2 ปีที่แล้ว +1

      @@statquest Ahh that make sense. Appreciate the prompt response. This series is a gem !!