Calculating the Mean, Variance and Standard Deviation, Clearly Explained!!!

Поділитися
Вставка
  • Опубліковано 21 гру 2024

КОМЕНТАРІ • 573

  • @statquest
    @statquest  2 роки тому +15

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

    • @adityaparab7802
      @adityaparab7802 Рік тому +1

      can you please make notes on fundamental of statistics

    • @statquest
      @statquest  Рік тому +1

      @@adityaparab7802 A lot of these topics are already covered in my book.

  • @davidbrown2806
    @davidbrown2806 2 роки тому +211

    I have a Masters Degree in Economics, and with all the statistics lectures I have attended, I have never seen such a sensible and clear explanation of the topic.

    • @statquest
      @statquest  2 роки тому +4

      Thanks!

    • @Scrungge
      @Scrungge 2 роки тому +8

      Gives me confidence that I'm not the only one needing a refresher in the last year of my bachelor.

    • @hightttech
      @hightttech 7 місяців тому +6

      @@Scrungge : 95% confidence?? 😃

  • @ExceptionalPOV
    @ExceptionalPOV 4 роки тому +23

    This is the very first time I am commenting on my you tube career. We are very much honored to have you here. Thank you for your contribution to make this world a little more better place.

    • @statquest
      @statquest  4 роки тому +2

      Thank you very much!

  • @devianttt94
    @devianttt94 3 роки тому +60

    Discovering this channel felt like I struck gold. Thanks for the awesome content!

  • @anupkodlekere3633
    @anupkodlekere3633 4 роки тому +18

    This guy is just great. As soon as I wonder about something, he comes up with a Note and says the exact same thing holy shit

  • @sloshy1840
    @sloshy1840 Рік тому +13

    This has to be the most ADHD friendly math content I've ever come across!!! This is so brilliant and fun!

    • @statquest
      @statquest  Рік тому +1

      Thanks!

    • @darkreaper4990
      @darkreaper4990 6 місяців тому +1

      Yeah, I have adhd too and was thinking the same 😂 it also helps that these videos explain the topics in a way that feels intuitive.

  • @juan.jose.111
    @juan.jose.111 4 роки тому +4

    I'm spanish spoken but somehow I truly note that great sense of humor you have.... my first option to learn statistics topics is this channel. greetings

  • @emmaxu2001
    @emmaxu2001 3 роки тому +5

    As someone who tries to figure out the concepts but often put off by the math formulas, your channel made it so simple and easy to understand!

  • @NinjanirA
    @NinjanirA 4 роки тому +58

    It's really sweet how you guys make songs for really boring/difficult/important topics and make it so fun! 😁 Thanks a lot!!

  • @vimalanatarajan9227
    @vimalanatarajan9227 5 років тому +88

    Happy to have found your channel.. Thank you so much for all the hardwork you put in to help people...

  • @jacklee3335
    @jacklee3335 2 роки тому +2

    Josh you are a true superhero, I’ve recently graduated in Physics and I’ve never had a more intuitive understanding of Statistics than I have since watching your videos.

  • @ritshpatidar
    @ritshpatidar Рік тому +2

    I wasted my precious time on Khan Academy, Wikipedia, and Stackexchange to understand just normal distribution fully.Thank you so much for explaining it in 2 videos.

  • @InfinitiCyberSolutions
    @InfinitiCyberSolutions 5 років тому +269

    If only the math teachers I've had in the past taught the way you do, life would've been so much better. Just saying...

    • @statquest
      @statquest  5 років тому +2

      :)

    • @fairuzam1420
      @fairuzam1420 5 років тому +9

      @@statquest i like the way you say "BAM...!!!", And any other "sanguinis" stuffs. More jokes, more relax. Learning is fun gang...

    • @antoniojperezcastro5013
      @antoniojperezcastro5013 3 роки тому +1

      Agree. we need a calculus quest just like this one

    • @jlcgu11
      @jlcgu11 2 роки тому +1

      Actually I give some credit to all past teachers. We understand better now because we've learnt a bit along the way, making things easier.

    • @mathivananperiasamy
      @mathivananperiasamy 2 роки тому

      If you would have been curious enough to learn, like you do now searching UA-cam, in your school or college days, your math teachers would have been like Josh to you. Just saying

  • @zeuspolancosalgado3385
    @zeuspolancosalgado3385 2 роки тому +4

    Your UA-cam channel carried me through Probability & Statistics and Machine Learning

  • @baaghi3288
    @baaghi3288 6 місяців тому +2

    This channel is literally gold for math lovers

  • @CopyKitties
    @CopyKitties Рік тому +4

    Thank you so much for this! I am in AP Stats, and I was confused on the difference between standard deviation and mean. Not only did it explain that, but it also cleared up my confusion on variance! Also, it was entertaining! Thank you so much! If I ever have trouble with math again, you’re the first channel I’ll turn to!

    • @statquest
      @statquest  Рік тому +1

      I'm glad my video was helpful! :)

  • @aparnajoshi2433
    @aparnajoshi2433 4 роки тому +12

    This is just amazing. I am going through a data science course and I have been coming back to this channel to strengthen my understanding of several basic concepts. Thank you so much for making these videos. Also, you sing well :P

    • @statquest
      @statquest  4 роки тому +3

      Wow! Thank you very much! :)

    • @shrutimishra5596
      @shrutimishra5596 3 роки тому

      Which course..actually m also thinking of taking one it would be a great help if u ans my query

  • @adrianzhang9508
    @adrianzhang9508 3 роки тому +17

    How come I only stumbled into this amazing channel just now???? Had my math teacher explained these terms/theories in such an easy and interesting way, I’d be working on building a rocket!

  • @lucia_is_loading...
    @lucia_is_loading... 14 днів тому +1

    I am in middle school doing a sociological project for a science fair. Thanks for making statistics so easy to understand!

  • @econsh
    @econsh 14 днів тому +1

    This is the best-presented course I have ever seen.

  • @MimicIsaac
    @MimicIsaac 2 роки тому +1

    Amazing, I became a stan at 5:36. These videos are always aware of the context in which we use these stats & methods.

  • @michelletran3025
    @michelletran3025 Рік тому +1

    Simple is an art that requires you to truly understand what you are saying. Thank you, StatQuest!

  • @rodrigogs9793
    @rodrigogs9793 Рік тому +2

    This is probably the very best video about variance, standard deviation I've seen. It's great explanation

  • @edwardgrigoryan3982
    @edwardgrigoryan3982 2 роки тому +4

    Thought I knew the basics well, but I'm truly mastering them now as I go through your channel. Thank you!

    • @statquest
      @statquest  2 роки тому

      I'm glad my videos are helpful! :)

  • @kajalraut4185
    @kajalraut4185 2 роки тому +2

    You my dear are life saviour❤. Finally understanding the Statistics after spending 24 years on this earth. Thanks a lot and Keep up the good work 🤓.

  • @achannel9598
    @achannel9598 2 роки тому +2

    instead of plugging in the numbers and calculating with no explanations of the formula like how my teachers did, you gave explanations such as why we had to square x - μ. Thanks!

  • @Terniedintorni
    @Terniedintorni 5 років тому +7

    You are the best statistic teacher. Ever!!!!
    thank you

  • @lidiyapriyadarsinik2815
    @lidiyapriyadarsinik2815 3 роки тому +2

    These videos make stuff so simple and easy, I relax and get un-depressed. It's like meditation. Thank you.

    • @statquest
      @statquest  3 роки тому +1

      Glad you like them!

    • @supriyamanna715
      @supriyamanna715 3 роки тому

      if I am not wrong, you're a faculty at Netaji Subhas Engineering College at Kolkata? and obtained your degree from AP?

  • @SuperGozookkk
    @SuperGozookkk 4 роки тому +2

    Wow,you are the best statistic and machine learning teacher.Thank you

  • @pedrodcthe1
    @pedrodcthe1 Рік тому +1

    It's awesome when an explanation generates a question in my mind and the next step is the answer to that question. It happened in the end when I wondered which formula did the common softwares used for var and sd. Thank you for your videos! From Argentina

  • @TheSunshinew
    @TheSunshinew 5 років тому +61

    I came here for Josh's music

    • @statquest
      @statquest  5 років тому +11

      You have very good taste in silly songs! :)

  • @elinauf
    @elinauf Місяць тому +1

    Fantastic explanation. Statistics does not seem like such a monster anymore. Thank You!

  • @BoZhaoengineering
    @BoZhaoengineering 5 років тому +4

    These interpretations are clear and save time than read textbooks. Great works.

  • @LukePuplett
    @LukePuplett 3 роки тому +2

    I was thinking, "I often see things squared like this, and it often doesn't seem like it would make a difference to the outcome, I wonder why they do it?" No sooner had I thought it, you explained why so clearly :-D Bravo, sir.

  • @MrEstebanEscudero
    @MrEstebanEscudero 4 роки тому +3

    Great video! It really helps watching the images and colors along with arrows and text to better understand. I typed "variance and standard deviation" in the youtube search box and StatQuest popped up. I know the quality of your videos and that's enough reason to watch yours among others. I didn't need to look any further. Priceless info. Great teacher.

    • @statquest
      @statquest  4 роки тому

      Thank you very much!!! I'm really happy you like the videos. :)

  • @kandycane4751
    @kandycane4751 3 роки тому +3

    Man, I just love the way you did explain everything cuz boi I truly was struggling to understand it. YOU ARE DA BEST

  • @amaliavastarella3363
    @amaliavastarella3363 2 роки тому +1

    Best channel for easy and brief yet very effective statistics lectures. Thank you for your work guys!

  • @vahidnajafzadeh4137
    @vahidnajafzadeh4137 3 роки тому +2

    all my life I have always been avoiding stats because I thought I was stupid and it was hard for me. now I realize my math and stat teachers were all stupid with zero interest in what they were teaching. thus wasting our precious childhood time and life. thanks for all these great tutorials 💚.

    • @statquest
      @statquest  3 роки тому +1

      Better late than never! :)

  • @_Chafia
    @_Chafia 5 років тому +5

    Merci infiniment Dr Starmer... vous êtes le meilleur à expliquer des stats... et les notions de base sont très importantes.. je vous félicite pour le choix diversifié des thématiques 👍
    Best regards Sir :)

  • @goktugmk
    @goktugmk 5 років тому +3

    You are great. Complex issues can be easily undertstandible by your videos. Thanks for these all videos.

  • @MuhammadHassan-qj7do
    @MuhammadHassan-qj7do 4 місяці тому +1

    Outstanding and exceptional job... you are doing. Trillions of thanks and appreciation. Extremely pleased to have your channel.

  • @vedantshirodkar
    @vedantshirodkar Рік тому +2

    Thank you for all your efforts. Each video is just right enough to provide you entire knowledge one needs.

  • @CarrieBreeden-jx8fr
    @CarrieBreeden-jx8fr Рік тому +2

    Thanks!

    • @statquest
      @statquest  Рік тому

      BAM! Thank you so much for supporting StatQuest! :)

  • @manuelmeza4029
    @manuelmeza4029 23 дні тому +1

    Dude you're awesome, wish you the best in this life.

  • @castimann
    @castimann 3 роки тому +1

    I still didn't see the video but I already gave you thumbs up for that super cool introduction.

  • @charlesnorvow
    @charlesnorvow 3 роки тому +2

    Mr. Starmer, you are so brilliant! Thanks for your contribution! I just found your YT videos and they are fantastic. Please keep up with this great work!

    • @statquest
      @statquest  3 роки тому

      Thank you very much! :)

  • @TriedTastedJourney
    @TriedTastedJourney 4 роки тому +2

    The best teacher ever!
    Thank you

  • @suman-by7gt
    @suman-by7gt 2 роки тому +3

    Wow wish I had had the good fortune of your teaching during my academics. However thank you for the wonderful n easy explanation... And thoroughly enjoyable

  • @guutinho19772
    @guutinho19772 4 роки тому +1

    You are the man Josh. Your videos are
    Golden.

  • @muffinman1
    @muffinman1 5 років тому +1

    Even as a phd this is useful and full of insight.

  • @octour
    @octour 5 років тому +6

    Thanks. As always - very simple, and useful! But still I can imagine, what work you've done with animation, and presenting that material.

    • @statquest
      @statquest  5 років тому +3

      I dream of one day animating my StatQuests. Some concepts would really benefit from it.

    • @chrisvaccaro229
      @chrisvaccaro229 4 роки тому +2

      @@statquest I think you'd be surprised at how easy software like Adobe Animate are. Also, 3Brown1Blue just uses python to make his videos.

  • @curiousronak
    @curiousronak 3 роки тому +2

    Thank you for making such an excellent series for beginners. Your videos inspire to read more on the subject.

  • @memeingthroughenglish7221
    @memeingthroughenglish7221 Рік тому +1

    Cool explanation of where the n-1 comes from! I never would have guessed that it is to compensate for using a sample, but that makes sense!

  • @acidic_ph
    @acidic_ph 4 роки тому

    You should have a radio show or podcast, perfect voice for that!

    • @statquest
      @statquest  4 роки тому

      Wow! Thank you very much! :)

  • @drewfrench8784
    @drewfrench8784 2 роки тому +1

    Thank goodness for you sir. The class I am taking is like " So. You now know how to calculate a mean. Please find the p-value for this sample population in hieroglyphics using Python."

  • @florakettle
    @florakettle 2 роки тому +1

    I learned more from you Sir than my teachers

  • @koushikkou2134
    @koushikkou2134 4 роки тому +1

    This guy is a absolute legend

  • @AizenMD
    @AizenMD 4 роки тому +4

    I love that he uses BAM a lot, it feels like a dad trying to be cool even though he is without trying and just don't realize that (hope that made sense XD)

  • @suhass6628
    @suhass6628 5 років тому +12

    2:41 "It is the population mean".....savage!!!!!

  • @siddheshb.kukade4685
    @siddheshb.kukade4685 2 роки тому +1

    Hey bro Idk who you are untill now but our teacher just did a 1 hr long lecture explaining your video frame by frame.
    Just wanted to let you know that your content is creating big impacts 🙏👍 keep it up💯🔥

  • @kumarvivek1866
    @kumarvivek1866 5 років тому +2

    Thank you for explaining deviation in deep and I'm looking for such explaination cause in my college they told us to mug up whole formulas instead of making us understand where the formulas come from. Thank you
    From 🇮🇳

    • @statquest
      @statquest  5 років тому +1

      Hooray! I'm glad that the video was helpful.

  • @gabrielcasagrande9463
    @gabrielcasagrande9463 4 роки тому +1

    Holy BAM! You make it so simple to understand!

  • @navjotsingh2251
    @navjotsingh2251 4 роки тому +1

    Your statistics videos are helping me with my computational statistics module😄

    • @statquest
      @statquest  4 роки тому +1

      Awesome! Good luck! :)

  • @mehedihasantushar1714
    @mehedihasantushar1714 4 роки тому +1

    At first i came here to concerntrate on =your statistics. But now a days i've fallen love with your intro music with ukulele. ;)

    • @statquest
      @statquest  4 роки тому

      Thanks! :)

    • @mehedihasantushar1714
      @mehedihasantushar1714 4 роки тому +1

      @@statquest Welcome Sir! :)

    • @mehedihasantushar1714
      @mehedihasantushar1714 4 роки тому

      It will be gratefully appreciated if you wish to connect with me on linkedIn Sir. :)
      I've a littile knowledge in the field of programming as an engineering student. :)

  • @matrixbegins
    @matrixbegins 2 роки тому +1

    I love your BAM!!!! and Terminology alerts :)

  • @pratik2886
    @pratik2886 5 років тому +2

    Excellent..Commendable...well done.. Just the kind of explanation I was looking for.

  • @adilrasheed
    @adilrasheed 3 роки тому +1

    Im currently pursuing masters in machine learning and my probability professor suggested this channel. It’s really fun and love the music for sure and not to forget dam!by Josh

    • @statquest
      @statquest  3 роки тому +1

      Bam!

    • @adilrasheed
      @adilrasheed 3 роки тому

      @@statquest hahaha your BAM made my day!
      Hey Josh a request,R is really painful for us eps in probability and statistics simulations,can you guys can make something regarding this. Something as such for coding stuffs.

    • @statquest
      @statquest  3 роки тому

      @@adilrasheed I have a few videos n how to do things in R. For a complete list, see: statquest.org/video-index/

    • @adilrasheed
      @adilrasheed 3 роки тому +1

      @@statquest thanks for this Josh. Will love to see such stuffs in pythons too.

  • @nargessheydari9799
    @nargessheydari9799 4 роки тому +1

    Very simple, quick, and extremely infromative. Thanks!!

  • @MrAdhito
    @MrAdhito 4 роки тому +1

    Your the best Josh !!, Thank you for your hardwork and effort in creating your videos !!

    • @statquest
      @statquest  4 роки тому

      Thank you very much! :)

  • @haneenidreesahmed7908
    @haneenidreesahmed7908 4 роки тому +1

    Wow. Amazing. Thanks Josh! You're a gem!

  • @Bodybuilding-ref
    @Bodybuilding-ref 6 місяців тому

    Amazing video, thank you so much for the work you do. One comment on variance: squaring the numerator not only ensures a positive value, it also gives outliers a higher weight! If we only wanted to ensure positivity, we could just use absolute value.

    • @statquest
      @statquest  6 місяців тому +1

      That, and it makes the math easier, since the derivative of the square function is defined for all values (and the derivative of the absolute value function is not defined for 0.)

  • @dsagman
    @dsagman Рік тому +2

    I am unreasonably excited for the “beep boop” of the algebra.

  • @shivanshjayara6372
    @shivanshjayara6372 3 роки тому +1

    U R GOD in explaining things which are so much difficult

  • @tonyle876
    @tonyle876 5 років тому +2

    thank you Mr. Starmer very much, wish my ML lecturer taught me like this .... and not just toss fancy formulas and words (variance, deviation, ....) onto my face everytime ..... it`s not so hard finally^ just needs to be explained well, in understandable way .....

    • @statquest
      @statquest  5 років тому

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

  • @unpatel1
    @unpatel1 2 роки тому +1

    Thank you for your clarification about n-1!

  • @jinmingtang1545
    @jinmingtang1545 4 роки тому

    The most clearly explained why we should divide by (n-1) for sample SD. It is just as (1 - 2)2 + (3 - 2)2 = 2 while (1 - 1.9)2 + (3 - 1.9)2 = 0.81 + 1.21 = 2.02

    • @statquest
      @statquest  4 роки тому

      I'm not sure I understand your explanation... :(

  • @vladimirbosinceanu5778
    @vladimirbosinceanu5778 4 роки тому +1

    These are the best. A genuine thank you, sir!

  • @AndrewSitholeB
    @AndrewSitholeB 4 роки тому +3

    wow this was so good....i really enjoyed the time cause it was very clear

  • @rg1957
    @rg1957 3 роки тому +1

    Thanks a lot for these wonderful lectures.. I am so happy that I can follow the lectures with ease as if watching a movie... With all good music and BAM!!

  • @rajatrana2020
    @rajatrana2020 3 роки тому +4

    Hey Josh! I recently found your channel (while surfing for Covariance) and found these awesome videos you make! BIG HEARTFUL Thankyou!!!
    I have this one doubt. We square the differences to make sure there isn't any negative term and in the end do a square root to finally get the standard deviation. As it turns out, in the middle of this we have termed the squared result as Variance. I do not understand why we needed Variance at all? SD was what we were looking for and SD helps us understand how spread out the curve will be. Then Why Variance is needed at all? (Otherwise we could also raise the differences to the power of 4 and name the result something fancy like Ultra-Variance, and then fourth root of Ultra-Variance would be our SD)

    • @statquest
      @statquest  3 роки тому +2

      Standard Deviations are easier to interpret, but some times we only need to do relative comparisons. For example, I might just want to know if one thing has less variance than another. For relative comparisons, we can save ourselves the extra work of calculating the standard deviation.

  • @shuflee2754
    @shuflee2754 5 років тому +2

    Same with Python numpy. The sdv function returns the population standard deviation by default. You have to ascertain by assigning ddof=1.

    • @statquest
      @statquest  5 років тому

      I didn't know that. Thanks for posting. :)

  • @joxa6119
    @joxa6119 3 роки тому +1

    If only if I found you before I need to repeat my Statistics course in my first year of study...

  • @shirasagi9390
    @shirasagi9390 4 роки тому

    dude, this video is amazing, thank you so much. i have dyscalculia and struggled so much with these concepts because all the websites and videos i tried used complicated words and formulas, and i need the concept to be shown in pictures and examples...i love how you showed how to understand and apply the formula too, sounds crazy but in decades of learning it's the first time i actually understand how to use that ''sigma''. the Excel psa is also so useful, because i was about to use Excel for statistical analysis and didn't know that !

    • @statquest
      @statquest  4 роки тому +1

      I'm glad my videos are helpful! I'm a visual learner, so I try to do everything with pictures - I'm that what works for me helps you too. :)

  • @Mustafa-099
    @Mustafa-099 3 роки тому +1

    You are doing God's work Josh 🙂

  • @sivagurunathanparanitharan4714
    @sivagurunathanparanitharan4714 4 роки тому +4

    🙏 May the almighty God bless you with health and wealth and a Joyful Long Long Long Life, Thank you indeed 🙌

    • @statquest
      @statquest  4 роки тому

      Wow! Thank you very much! :)

  • @Toirtapable
    @Toirtapable 3 роки тому +2

    greetings form germany. U helped me a lot :)

  • @fatematania2193
    @fatematania2193 9 місяців тому +1

    Execellent lectures. Your lectures are presenting statisitics as almost new to me. Could please add some more explanation on how (n-1) compensate in estimated population variance? I am grateful to you for your contribution to my learning.

    • @statquest
      @statquest  9 місяців тому

      See this video: ua-cam.com/video/sHRBg6BhKjI/v-deo.html

  • @abhasmalguri2905
    @abhasmalguri2905 Рік тому +1

    Really very good videos.
    Easy to grasp. Thanks for this amazing content👍

  • @marjiehoss1498
    @marjiehoss1498 4 роки тому +2

    I came here for the learning stayed back for the learning and the rad music

  • @liquidation22
    @liquidation22 5 років тому +1

    the soundeffects sold me!

  • @chanroobi7460
    @chanroobi7460 4 роки тому +1

    Taking Stats at University of Texas and I feel like I am standing before a tidal wave. I hope these videos help.

  • @MudithBhandari
    @MudithBhandari 4 роки тому +1

    You are a legend. Hats off

  • @yingc1233
    @yingc1233 2 роки тому +1

    Amazing videos Josh, thank you!

  • @Ojjas26
    @Ojjas26 4 роки тому +1

    Just 1 word: Amazing!

    • @statquest
      @statquest  4 роки тому

      2 words: Thank you! :)

  • @kristiantorres1080
    @kristiantorres1080 4 роки тому +1

    Subscribed as soon as I heard the intro...

  • @devangsharma7550
    @devangsharma7550 3 роки тому +2

    You are awesome josh🤝🔥

  • @excelbelajar
    @excelbelajar 4 роки тому +1

    You make statictics fun😁🙏

  • @mrtechnostart
    @mrtechnostart 2 роки тому

    Thank you for such interesting lectures
    😇😇

  • @batoulmed6449
    @batoulmed6449 2 роки тому +1

    well explained and organized, thank you

  • @hanshernandez5513
    @hanshernandez5513 4 роки тому +1

    Wow what an incredible explanation. I liked and subscribed right away BAM!