Range, variance and standard deviation as measures of dispersion | Khan Academy

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  • เผยแพร่เมื่อ 29 ธ.ค. 2024

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  • @zinaalabdaly6848
    @zinaalabdaly6848 4 ปีที่แล้ว +562

    And here i am, 10 years after this was posted, learning more here in 12 min than my course in an hour
    Thank u from the heart of mine, khan academy !

    • @vincentdrew2194
      @vincentdrew2194 3 ปีที่แล้ว +9

      I played this at 2x speed to learn it in 6 min

    • @owenpatenaude1072
      @owenpatenaude1072 3 ปีที่แล้ว +2

      Same lo

    • @Tyler_Lance
      @Tyler_Lance 2 ปีที่แล้ว +6

      @@vincentdrew2194 That’s not smart, you might not understand everything because your brain can’t catch up. Don’t try to get everything done as quick as possible, sometimes it causes mistakes

    • @rapemap
      @rapemap 2 ปีที่แล้ว +3

      reviewing simple explanation after hours of complicated lesson often give you a new understanding and you feel enlightenment.

  • @sachimoo
    @sachimoo 8 ปีที่แล้ว +422

    I am taking a Statistics class online and YOU are by far the BEST thing I've come across! Your explanations are clear and thorough. You cut through all the STATISTIC jargon and allow the student to conceptualize the theory of basic statistical analyses & problems. You are truly Gifted!Thank you for sharing your knowledge and Passion.

    • @coyomedia1310
      @coyomedia1310 3 หลายเดือนก่อน

      right! thats facts! my statistics professor talks so confusing and quickly! I had no choice but to find other videos to study for our weekly concepts! I couldnt go out like that!

  • @murators4732
    @murators4732 2 ปีที่แล้ว +17

    Please never delete your videos. I am also 10 years after posting learning this stuff and you are the only one who explained it the way i could understand and use it. Youe helped, help and will help millions of people. Thank you

  • @StopwatchRobert
    @StopwatchRobert 11 ปีที่แล้ว +24

    You know Mr. Khan, you and you alone are the reason this program works so well. What you teach is no different than a university professor, but the way you teach it squeezes more information into a 12 minute video than I'll get in a 50 minute lecture, and I understand it much better. I think I speak for everyone when I say I wish you were my teacher, you'd be absolutely perfect at it.

  • @harijsijabs2420
    @harijsijabs2420 10 ปีที่แล้ว +612

    This made so much more sense than my university professor. Thanks a lot!

    • @edthoreum7625
      @edthoreum7625 7 ปีที่แล้ว +4

      great work but #are so small and the board is so dark?

    • @Anonymous-ko5ug
      @Anonymous-ko5ug 7 ปีที่แล้ว +14

      Harijs Ijabs why are you learning this in university? I'm learning this in the 6th grade

    • @FloydFilmz
      @FloydFilmz 6 ปีที่แล้ว +25

      bcuz we all have specific concepts we are learning in college such as criminal justice or law or engineering. But there are a few courses that you have to repeat that u've already learned in middle and highschool. Thats why kid.

    • @azimtwice
      @azimtwice 6 ปีที่แล้ว +4

      +FloydFilmz why'd we pay thousands to repeat what we've already learned?

    • @oliviaso9726
      @oliviaso9726 5 ปีที่แล้ว +1

      @@azimtwice idk

  • @krossthug
    @krossthug 10 ปีที่แล้ว +648

    i cried cos this helped me so much

    • @Zmunk19
      @Zmunk19 9 ปีที่แล้ว +4

      did it sound something like trololollololololoololollololol

    • @videogamejo
      @videogamejo 9 ปีที่แล้ว +46

      ***** Right? Isn't Khan amazing? Khan Academy makes me realize that math isn't so bad when explained properly. So many teachers and books explains things in a cryptic manner. Khan explains this stuff in layman's terms and it just clicks.

    • @madrid7790
      @madrid7790 7 ปีที่แล้ว +5

      Did you pee yourself too?

    • @ammaraa3287
      @ammaraa3287 7 ปีที่แล้ว +2

      Same!!! In class I was like what is this even and here I understood it 😂🌸🌸

    • @memoo2133
      @memoo2133 7 ปีที่แล้ว

      JJ not math, its statistics.

  • @Supremepie
    @Supremepie 2 ปีที่แล้ว +12

    Khan academy... helped my 14 year old self, and still helping me at 24 years old, God bless you.

  • @0nly1w0rld
    @0nly1w0rld 3 ปีที่แล้ว +23

    This guy has done so much on Khan Academy, he should be nominated for the Nobel Prize in Education. If there isn't such a category, they should create one

  • @kk8490
    @kk8490 8 ปีที่แล้ว +437

    Oh my god yes. Not all superheroes wear capes

    • @lkerzgrl24
      @lkerzgrl24 5 ปีที่แล้ว +10

      Plot twist: he was wearing a cape

    • @whitewalker608
      @whitewalker608 5 ปีที่แล้ว +10

      @@lkerzgrl24 Plot twist. OP is talking about Iron Man.

    • @kavyasoni139
      @kavyasoni139 10 หลายเดือนก่อน +1

      ​@@whitewalker608plot twist he is talking about Superman 😂

    • @Clurf
      @Clurf 5 หลายเดือนก่อน

      Plot twist. The entire plot has become twisted.

  • @fabbabs
    @fabbabs 10 ปีที่แล้ว +73

    I have studied these concepts in at least three different classes and never understood them as well as I do now. Thank you.

  • @jeremyrodriguez4989
    @jeremyrodriguez4989 3 ปีที่แล้ว +2

    Currently a history major with a minor in political science. Took statistics in high school and again in college but this just made so much sense. To anyone reading the comments, watch frequency tables first and then start looking at this video. It takes15 minutes for both but you'll appreciate so much math quickly.

  • @BrianKouhi
    @BrianKouhi 8 ปีที่แล้ว +62

    Amazing teaching skills, i've struggled to understand this in university for the past 2 months, with my prof being of little use. first time watching this 10min video and i completely understand it now! Thank you!

    • @122willman
      @122willman 6 ปีที่แล้ว +7

      just goes to show these universities are so overrated. they don't teach anymore. About to graduate myself and it is so funny what university teaching has become.

  • @HannanAli
    @HannanAli 3 ปีที่แล้ว +1

    If only you guys could see how the teacher teaches this subject at my university...You'd hate this subject i guarantee. She straight up reads solutions from the guide book without explaining whats happening or why we are doing anything.... Thank You So Much Khan Academy!!!

  • @Lani2722
    @Lani2722 4 ปีที่แล้ว +63

    Everyone is talking about their professors in university and how they're useless like 7-2 years ago I'm here in 2020 trying to figure this out in high school because I hate remote learning.

    • @Lillith9008
      @Lillith9008 4 ปีที่แล้ว +3

      that sounds very difficult dear, i can't even imagine having to do high school right now. i'm sorry you have to go through that

    • @gracemostek1976
      @gracemostek1976 4 ปีที่แล้ว +2

      same

    • @janaaa9309
      @janaaa9309 4 ปีที่แล้ว +1

      me too

    • @ikyouknoweknow
      @ikyouknoweknow 3 ปีที่แล้ว

      @@Lillith9008 thank u for being compassionate

  • @Notabot2000
    @Notabot2000 6 ปีที่แล้ว +97

    Learned more with this video than the first 3 weeks of college with my useless professor

    • @ZoZo-sk7mq
      @ZoZo-sk7mq 5 ปีที่แล้ว +6

      Hold on you r learning this in Uni then why am i learning this year 9 or 9th grade
      AUstralia IS messed up

    • @herat3158
      @herat3158 5 ปีที่แล้ว +2

      College?
      We're learning this in grade 9 though

    • @ZoZo-sk7mq
      @ZoZo-sk7mq 5 ปีที่แล้ว +1

      @@herat3158 thats what i said but in australia we call college uni

    • @lily-er5xt
      @lily-er5xt 5 ปีที่แล้ว +1

      I’m learning this in 7th

    • @gacharaeztrid7620
      @gacharaeztrid7620 4 ปีที่แล้ว

      @@lily-er5xt yeah, same.

  • @nelsoncastillo7888
    @nelsoncastillo7888 9 ปีที่แล้ว +21

    Your method of teaching is comprehensible, thanks

  • @coolshante7093
    @coolshante7093 5 ปีที่แล้ว +217

    There am I scrolling down and liking every comment coz I can relate to them

    • @dotted_stains2792
      @dotted_stains2792 2 ปีที่แล้ว

      Seeing how you have 142 likes....... I wonder

  • @coreyw2124
    @coreyw2124 5 ปีที่แล้ว +3

    You're so clear and cut through the jargon so well that it's actually making me mad. I spent so much time in college trying to understand this stuff and if I would have just watched these videos instead I can't even think about the amount of time and effort I would have saved. Great stuff

  • @aishaabaniel6827
    @aishaabaniel6827 5 ปีที่แล้ว

    Tanx God i found the best teacher here even you tube.nung nag aral ako walan akong naintindihan.thank you so much Sir for your help.God bless u Sir

  • @bryanjy7923
    @bryanjy7923 7 ปีที่แล้ว

    From algebra to calculus, to history, and also to statistics?! WoW! so amazed. Is Sal Khan the one that discuss in most these videos? Is he a genius? Or other way around.

  • @coronnation8854
    @coronnation8854 2 ปีที่แล้ว +1

    You have been helping me pass university classes for the last decade.
    You're a very important person in the world.

  • @williammagdales2330
    @williammagdales2330 12 ปีที่แล้ว +2

    Dude, now im ready for my periodical test, tommorrow !! I really appreciate you pal !!!

  • @fangtzukang6163
    @fangtzukang6163 3 ปีที่แล้ว +2

    The most helpful explanation about standard deviation I've ever watched. Thank you so much, Sal!!!! You're the best math teacher in the universe.

  • @wiifreak911
    @wiifreak911 11 ปีที่แล้ว +2

    This is the "Population Standard Deviation"
    For the "Sample Standard Deviation" we replace n with (n-1) to ensure that all desirable properties of an estimator are retained.

  • @moizkhalid2714
    @moizkhalid2714 5 ปีที่แล้ว +2

    Any time you feel struck in mathematics, you tune into Khan Academy where Sir Sal explaining the concept so easily.Another day is saved,thanks to Khan Academy.

  • @djchillsbx1
    @djchillsbx1 12 ปีที่แล้ว +1

    yes indeed this explians it a bit better than all the other class material. Thanks!

  • @yrebrac
    @yrebrac 4 ปีที่แล้ว +9

    Khan, you legend. Needed a quick primer on this topic. You are the man.

  • @Mahmoud-ys1kt
    @Mahmoud-ys1kt ปีที่แล้ว +2

    Simply , Its Great . Thank you

  • @mariellesiapno2494
    @mariellesiapno2494 5 ปีที่แล้ว +8

    Thank you so much for this!!!! ♥️ You’re a blessing! ♥️🙌🏼

  • @sameedsherazi
    @sameedsherazi 4 ปีที่แล้ว +1

    I don't know why but I am in love this guy's voice.
    And yeah the lectures being the first.

  • @saulmatakarawa9236
    @saulmatakarawa9236 8 ปีที่แล้ว +100

    Very well explained. However, I find another explanation stating that the denominator in variance calculation should be n-1, which in this case should be 4 (5-1=4). Please clarify. Thanks

    • @manveersingh7842
      @manveersingh7842 8 ปีที่แล้ว +22

      +Saul Matakarawa I believe n-1 is to calculate the sample variance.
      Not 100% sure, but from what I remember.

    • @Alex-zc9ty
      @Alex-zc9ty 6 ปีที่แล้ว +1

      somebody else explained please

    • @aoa0687
      @aoa0687 6 ปีที่แล้ว +4

      vortex.ihrc.fiu.edu/MET4570/members/Lectures/Lect05/m10divideby_nminus1.pdf
      Check page 2

    • @pppkaew4297
      @pppkaew4297 5 ปีที่แล้ว +22

      Sample Variance’s denominator is n-1. Population variance’s is n

    • @vijayanandvadhyar7224
      @vijayanandvadhyar7224 5 ปีที่แล้ว

      @@pppkaew4297 thanks

  • @HAMID___
    @HAMID___ 6 ปีที่แล้ว +15

    Thank you u explained it so seamlessly 😭👏🏽. U save me from failing a test

  • @Czathero
    @Czathero 12 ปีที่แล้ว +4

    OMG! I love you! I finally understand this now!
    So happy!

  • @bsayah
    @bsayah 13 ปีที่แล้ว +5

    Oh my god, this never made so much sense before...thank you so much!

  • @IIXIXOXIXII
    @IIXIXOXIXII 12 ปีที่แล้ว +1

    You spoke at a great pace and very clearly. This video was very helpful.
    I would like to know what the answer to evilshenanegans' question is though.. and william's question on negative numbers and range...

  • @fancydeer
    @fancydeer 3 ปีที่แล้ว

    Seriously saving me in my college class. I didn't understand any of this, it's amazing what a difference a GOOD teacher makes.

  • @user-zr4od4qg7s
    @user-zr4od4qg7s 5 ปีที่แล้ว +2

    I been sick for the past week and my friends told me about this because they are learning at school so I got worried since they said there's a test tomorrow but this helped a lot THANK YOU now I'm ready

  • @waterfairy2011
    @waterfairy2011 ปีที่แล้ว

    First time in my life I understand what is variance. Thank you so much!!!

  • @Naked_Snake
    @Naked_Snake 12 ปีที่แล้ว

    Haven't really used Khan Academy before, but I used this for Economics and makes perfect sense. Thank You.

  • @dawoodali4605
    @dawoodali4605 3 ปีที่แล้ว +1

    Thank you soo much man!!!! Came in clutch!

  • @hoomanazizi8969
    @hoomanazizi8969 7 หลายเดือนก่อน

    I studied finance in uni and our master could not explain it as simple as this in a whole semester. thanks

  • @minhazulislam4682
    @minhazulislam4682 4 ปีที่แล้ว +1

    hopefully you found that useful... it was the most easiest explanation I got on the internet..My university life started a few months back (online semester ft. Corona) and I am taking a Stat course right now. My teachers explanation was really vague, it's like he(my teacher) is trying to hide something from me. but this actually cleared everything up. Thanks Salman. One day, I will be great teacher like you inshaallah.

  • @bcasarez
    @bcasarez 13 ปีที่แล้ว

    The video is correct because he dealing with a population data set (also evident by the use of the sigma symbol). He explains this @ 4:45 - 5:09. You only use (n-1) when you are dealing with a sample data set (where you use "s" and not sigma).

  • @renatarech2429
    @renatarech2429 6 ปีที่แล้ว

    Oh wow!! I don't normally comment of TH-cam videos, but you just took something that I found so confusing and complex and broke down until it was simple! Thank you ever so much

  • @gurpreetbhalla
    @gurpreetbhalla 14 ปีที่แล้ว +1

    your videos are too good and i think u are doing a great job

  • @sabrinadiego3586
    @sabrinadiego3586 6 ปีที่แล้ว

    You did a great job. I followed the lecture and I could not understand. I saw your video only once and I realize that it is very easy. I think because you explain very well. thank you very much.

  • @danamclemore3805
    @danamclemore3805 5 ปีที่แล้ว +3

    You rock - as usual.
    You are sooo amazing.how many people have you helped ???
    You will never know

  • @kevinrandalrulach
    @kevinrandalrulach 2 ปีที่แล้ว

    I know these stuff 100%, but I need to understand these stuff with 300% confidence. Thanks for the upload.

  • @saravaliyeva2591
    @saravaliyeva2591 ปีที่แล้ว

    Thank you so much for your video and explanations .I started Statistics classes recently and i also learn more from here than from my professor .It helps really thanks a lot again

  • @dawoodali4605
    @dawoodali4605 3 ปีที่แล้ว +1

    Thank you soo much! Your a life saver!!!

  • @marysadek9683
    @marysadek9683 4 ปีที่แล้ว +2

    This is amazing! I thought I hated stat until I watched the video. It turns out I have a bad teacher lol . The teacher who made this video made it simple and conveyed the meaning in a great way! Thank you:)

  • @saadhashmi511
    @saadhashmi511 3 ปีที่แล้ว +1

    Found this vedio in my 3rd year of med school and was saved in Biostatistics. Alhamdulillah

  • @eduugr
    @eduugr 7 ปีที่แล้ว +1

    Thank you. You are really good explaining !!

  • @silentlessons4221
    @silentlessons4221 ปีที่แล้ว +2

    Khan academy at it again with an awesome explanation and breakdown of statistics. Thanks very much.

  • @ntbarnes656
    @ntbarnes656 3 ปีที่แล้ว +2

    such a great breakdown!! thank you!! you explained every step so that I understand what I am using to get each answer.

  • @denzilseukanundun540
    @denzilseukanundun540 2 ปีที่แล้ว

    I need this channel for Data Science! Thank you Khan Academy!

  • @MichealOliver-y5q
    @MichealOliver-y5q 4 หลายเดือนก่อน

    Fantastic explanation I've always found range, variance, and standard deviation frustrating. This video really breaks down these concepts in a way that's easy to grasp. Please share more such videos. For anyone else struggling, this video is a game-changer. Plus, I've also been using free textbooks from SolutionInn to better understand these concepts, and they've been a huge help alongside this video. Pairing it with resources like SolutionInn, Chegg, or Course Hero offers extra practice and explanations that solidify your understanding. Thanks for making this topic less daunting!

  • @LaBam85
    @LaBam85 11 ปีที่แล้ว

    A tutorial on physics? yep, statistics? why not? youre the man

  • @ioannismarkoulakis4978
    @ioannismarkoulakis4978 7 ปีที่แล้ว

    I normally just like the video but, this one deserves a comment. Good job, great explanation!

  • @nikkishivoy9921
    @nikkishivoy9921 2 ปีที่แล้ว +1

    The video helped me a lot in understanding Standard Deviation.

  • @tasbeehdeyaa
    @tasbeehdeyaa 4 ปีที่แล้ว

    Thank you so much. This.. This is exactly what I needed. It made me realize I'm not slow nor stupid it just depends on who the teacher is.

  • @ppl_call_me_tima
    @ppl_call_me_tima 2 ปีที่แล้ว +1

    Thanks a lot! Really simple and useful comparitive explanation!

  • @techvishnuyt
    @techvishnuyt ปีที่แล้ว +3

    13 years later, yup learning from here more than my professors

  • @angelicaatherfold291
    @angelicaatherfold291 2 ปีที่แล้ว

    Ahhhh I understand it!!! Appreciate you big time!!

  • @Norah9O2
    @Norah9O2 14 ปีที่แล้ว

    I wish u were our bio-statistics instructor , my life would have been so much easier

  • @hugojj101
    @hugojj101 7 ปีที่แล้ว

    Ha, watched Khan academy vids when I was 10 and here I am 6 years later using them to help me with my as levels

  • @hubdarali8633
    @hubdarali8633 4 ปีที่แล้ว

    I have learned this topic different videos lecture but your lecture is conceptualize and clear my all confusion...thanks❤❤

  • @MeganMcken
    @MeganMcken 13 ปีที่แล้ว

    I really appreciate these tutorials. I'm not a very logical/math thinker so it is nice to confirm some of my hesitancy.

  • @gracefredericks2126
    @gracefredericks2126 6 ปีที่แล้ว

    This is so helpful!! THANK YOU. You actually repeat what you're doing to help to get it in our brains and for me, it works! I didn't have to keep scrolling back. (And it also helps that you don't have a ridiculously boring monotone voice like a lot of the people who make these maths videos do)

  • @mspinkstar1234
    @mspinkstar1234 13 ปีที่แล้ว

    This is one of the advantages of being Asian=)) although it is diffuclult it would never make my mind explode. I am learning this in my statistics class in 8th grade and would have an exam tom. Your lesson is worth 2 classes and chen better=)) I love TH-cam!

  • @Abhishektheunofficial
    @Abhishektheunofficial 7 ปีที่แล้ว +3

    Thank you so much. This is so helpful. I highly appreciate the time and energy taken to prepare this to make this available for free.

  • @marj736
    @marj736 8 ปีที่แล้ว +3

    Khan, you are a life saver!

  • @krishna_kk007
    @krishna_kk007 6 หลายเดือนก่อน

    I calculated -20 squared and it was -400. I am not saying you're wrong I just doubt that equation. But other than that you're an amazing teacher. Keep up the excellent work Khan!

  • @jekamiahruiz6500
    @jekamiahruiz6500 5 ปีที่แล้ว +3

    This is cool. You have helped me a lot. Thanks to you 😊
    I've also watched your videos on several topics in physics. Galing nyo po!

  • @kimsrenglim
    @kimsrenglim 6 ปีที่แล้ว

    Vous êtes merveilleux! Merci!

  • @abdulrahmankaka
    @abdulrahmankaka 11 ปีที่แล้ว +1

    now i get it thank you very much !

  • @pietatk
    @pietatk 5 ปีที่แล้ว +3

    I don't have enough words to thank you! You helped so many people, including me. Truly, thanks so much :)

  • @ozzi31o1
    @ozzi31o1 9 ปีที่แล้ว

    so much better than my stats teacher, cheers

  • @trombonetribute6433
    @trombonetribute6433 5 ปีที่แล้ว +1

    It's summer I'm 13 and I'm learning it's my best summer yet
    I understood standard deviation from my math book I just didn't see that variation was standard deviation without it being square rooted it's so easy

  • @muntaha5980
    @muntaha5980 4 ปีที่แล้ว +1

    You saved my future and my mental health

  • @qobiljonxayrullayev3635
    @qobiljonxayrullayev3635 2 ปีที่แล้ว

    thank you very much lesson was reallay enjoying you understanded the this in 12 minutes that i did not understand 2 hours

  • @hariiiprasath
    @hariiiprasath 2 ปีที่แล้ว

    Here I am, trying to actually understand these concepts 8 years after school, and this 12 min video made me feel like my schooling had failed me.

  • @A11Omar
    @A11Omar 12 ปีที่แล้ว +3

    very useful. I'm taking QUAN201 and I wish I had you as my instructor 'cause mine really sucks

  • @soumyadeepseth382
    @soumyadeepseth382 5 ปีที่แล้ว

    Thanks...sir...i understand the prosses of dispersion....

  • @88spaces
    @88spaces 5 ปีที่แล้ว +1

    Your explanation is very clear and simple to understand. Thank you.

  • @laurens2527
    @laurens2527 3 ปีที่แล้ว

    OMG I wish you were my STATS Teacher this semester Thanks

  • @ssekemoto
    @ssekemoto 3 ปีที่แล้ว

    Thank you for this! You are the best!

  • @muhammedrajab2301
    @muhammedrajab2301 3 ปีที่แล้ว +2

    Awesome video and great explanation. But one quick correction, 9:48 Distance can't be negative or zero.

  • @shivsuthar2291
    @shivsuthar2291 2 ปีที่แล้ว

    This is the best explanation of despertion

  • @clarencekeller7684
    @clarencekeller7684 9 หลายเดือนก่อน

    omg wow thank you so much. Made it look so simple while my study book made it the equivalent of common core math!

  • @johnpastorick444
    @johnpastorick444 3 ปีที่แล้ว

    Thank you for making this more clear than the professors we pay thousands of money to

  • @Naturenest7-v6k
    @Naturenest7-v6k 3 ปีที่แล้ว

    Thank you so much, 🙏 your channel is the best, this makes so much sense than my Uni professor!

  • @waltsummerlin4848
    @waltsummerlin4848 6 ปีที่แล้ว

    Thank you! It makes sense now!

  • @samizaki7165
    @samizaki7165 7 ปีที่แล้ว

    The perfect way to understand the variance and the standard deviation ... Thanks KHAN Academy

  • @ayeshafaiz3582
    @ayeshafaiz3582 6 ปีที่แล้ว

    Thanks Allah that khan academy axist on youtube..so much helpful.such a great explanation..

  • @xsauce3858
    @xsauce3858 6 ปีที่แล้ว +2

    I was out of class with my friends when my lecturer was teaching this thank you so much.

  • @ahmde
    @ahmde 4 ปีที่แล้ว +1

    Great explanation, very intuitive.

  • @TheLegend-xf1vt
    @TheLegend-xf1vt 4 ปีที่แล้ว

    all the best to you thanks , you helped me alot

  • @agbormcchelsea9209
    @agbormcchelsea9209 2 ปีที่แล้ว +1

    Very useful
    And I have a ÇA tomorrow big help🙏🏽

  • @multiplier6613
    @multiplier6613 7 ปีที่แล้ว

    thank you sal khan this video helped me so much