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

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  • čas přidán 22. 08. 2024
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Komentáře • 673

  • @zinaalabdaly6848
    @zinaalabdaly6848 Před 3 lety +515

    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 Před 3 lety +8

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

    • @owenpatenaude1072
      @owenpatenaude1072 Před 2 lety +2

      Same lo

    • @I_unar
      @I_unar Před 2 lety +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 Před 2 lety +3

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

  • @sachimoo
    @sachimoo Před 8 lety +413

    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.

  • @harijsijabs2420
    @harijsijabs2420 Před 9 lety +595

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

    • @edthoreum7625
      @edthoreum7625 Před 7 lety +4

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

    • @Anonymous-ko5ug
      @Anonymous-ko5ug Před 7 lety +14

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

    • @FloydFilmz
      @FloydFilmz Před 6 lety +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 Před 5 lety +4

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

    • @oliviaso9726
      @oliviaso9726 Před 4 lety +1

      @@azimtwice idk

  • @murators4732
    @murators4732 Před 2 lety +12

    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

  • @krossthug
    @krossthug Před 10 lety +638

    i cried cos this helped me so much

    • @Zmunk19
      @Zmunk19 Před 9 lety +4

      did it sound something like trololollololololoololollololol

    • @videogamejo
      @videogamejo Před 9 lety +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 Před 6 lety +5

      Did you pee yourself too?

    • @ammaraa3287
      @ammaraa3287 Před 6 lety +2

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

    • @memoo2133
      @memoo2133 Před 6 lety

      JJ not math, its statistics.

  • @kk8490
    @kk8490 Před 8 lety +430

    Oh my god yes. Not all superheroes wear capes

    • @lkerzgrl24
      @lkerzgrl24 Před 5 lety +10

      Plot twist: he was wearing a cape

    • @whitewalker608
      @whitewalker608 Před 5 lety +10

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

    • @kavyasoni139
      @kavyasoni139 Před 6 měsíci +1

      ​@@whitewalker608plot twist he is talking about Superman 😂

    • @ChillStoryBreak
      @ChillStoryBreak Před 28 dny

      Plot twist. The entire plot has become twisted.

  • @0nly1w0rld
    @0nly1w0rld Před 3 lety +19

    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

  • @Lani2722
    @Lani2722 Před 3 lety +60

    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 Před 3 lety +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 Před 3 lety +2

      same

    • @janaaa9309
      @janaaa9309 Před 3 lety +1

      me too

    • @ikyouknoweknow
      @ikyouknoweknow Před 3 lety

      @@Lillith9008 thank u for being compassionate

  • @fabbabs
    @fabbabs Před 9 lety +72

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

  • @coolshante7093
    @coolshante7093 Před 5 lety +201

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

  • @Supremepie
    @Supremepie Před rokem +8

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

  • @StopwatchRobert
    @StopwatchRobert Před 11 lety +23

    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.

  • @BrianKouhi
    @BrianKouhi Před 8 lety +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 Před 6 lety +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.

  • @Notabot2000
    @Notabot2000 Před 6 lety +97

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

    • @ZoZo-sk7mq
      @ZoZo-sk7mq Před 5 lety +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 Před 5 lety +2

      College?
      We're learning this in grade 9 though

    • @ZoZo-sk7mq
      @ZoZo-sk7mq Před 5 lety +1

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

    • @lily-er5xt
      @lily-er5xt Před 4 lety +1

      I’m learning this in 7th

    • @gacharaeztrid7620
      @gacharaeztrid7620 Před 4 lety

      @@lily-er5xt yeah, same.

  • @HannanAli
    @HannanAli Před 3 lety +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!!!

  • @jeremyrodriguez4989
    @jeremyrodriguez4989 Před 3 lety +1

    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.

  • @saulmatakarawa9236
    @saulmatakarawa9236 Před 8 lety +99

    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 Před 8 lety +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 Před 5 lety +1

      somebody else explained please

    • @aoa0687
      @aoa0687 Před 5 lety +4

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

    • @pppkaew4297
      @pppkaew4297 Před 5 lety +22

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

    • @vijayanandvadhyar7224
      @vijayanandvadhyar7224 Před 5 lety

      @@pppkaew4297 thanks

  • @nelsoncastillo7888
    @nelsoncastillo7888 Před 8 lety +21

    Your method of teaching is comprehensible, thanks

  • @coreyw2124
    @coreyw2124 Před 4 lety +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

  • @josecuervo1646
    @josecuervo1646 Před 5 lety +27

    I need Sal to take my SAT for me.

  • @HAMID___
    @HAMID___ Před 6 lety +15

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

  • @techvishnuyt
    @techvishnuyt Před rokem +3

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

  • @fangtzukang6163
    @fangtzukang6163 Před 3 lety +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.

  • @yrebrac
    @yrebrac Před 4 lety +9

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

  • @user-zr4od4qg7s
    @user-zr4od4qg7s Před 4 lety +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

  • @moizkhalid2714
    @moizkhalid2714 Před 4 lety +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.

  • @wiifreak911
    @wiifreak911 Před 11 lety +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.

  • @TastyShepherdsPie
    @TastyShepherdsPie Před rokem +5

    I thought it was n-1?

  • @coronnation8854
    @coronnation8854 Před rokem +1

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

  • @marysadek9683
    @marysadek9683 Před 4 lety +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:)

  • @bryanjy7923
    @bryanjy7923 Před 7 lety

    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.

  • @mariellesiapno2494
    @mariellesiapno2494 Před 5 lety +8

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

  • @ntbarnes656
    @ntbarnes656 Před 3 lety +2

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

  • @Abhishektheunofficial
    @Abhishektheunofficial Před 7 lety +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.

  • @ExploreLearnEnglishWithGeorge

    a video explaining sample variance and population variance would be helpful.. (my synapses are shutting down)

  • @williammagdales2330
    @williammagdales2330 Před 11 lety +2

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

  • @minhazulislam4682
    @minhazulislam4682 Před 3 lety +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.

  • @bsayah
    @bsayah Před 13 lety +5

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

  • @gracefredericks2126
    @gracefredericks2126 Před 5 lety

    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)

  • @muhammedrajab2301
    @muhammedrajab2301 Před 3 lety +2

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

  • @IIXIXOXIXII
    @IIXIXOXIXII Před 11 lety +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...

  • @sameedsherazi
    @sameedsherazi Před 3 lety +1

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

  • @hoomanazizi8969
    @hoomanazizi8969 Před 3 měsíci

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

  • @fancydeer
    @fancydeer Před 2 lety

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

  • @raquelporras5895
    @raquelporras5895 Před 7 lety +3

    Is it just me or does he sound like old Ted Mosby? Great video btw, I've been watching them before class and they are super helpful!

  • @pieta39
    @pieta39 Před 4 lety +3

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

  • @danamclemore3805
    @danamclemore3805 Před 5 lety +3

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

  • @silentlessons4221
    @silentlessons4221 Před rokem +2

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

  • @hugojj101
    @hugojj101 Před 7 lety

    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

  • @renatarech2429
    @renatarech2429 Před 5 lety

    Oh wow!! I don't normally comment of CZcams 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

  • @aishaabaniel6827
    @aishaabaniel6827 Před 5 lety

    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

  • @jekamiahruiz6500
    @jekamiahruiz6500 Před 5 lety +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!

  • @trombonetribute6433
    @trombonetribute6433 Před 5 lety +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

  • @ethanliu5289
    @ethanliu5289 Před rokem +4

    Bro why am I learning this in year 7 💀

  • @saadhashmi511
    @saadhashmi511 Před 2 lety +1

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

  • @xsauce3858
    @xsauce3858 Před 6 lety +2

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

  • @krishna_kk007
    @krishna_kk007 Před měsícem

    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!

  • @gurpreetbhalla
    @gurpreetbhalla Před 13 lety +1

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

  • @samanthapikus3178
    @samanthapikus3178 Před 7 lety +1

    For the square root of 200 I get 14.142... How am I understanding this wrong... Great video. You are a really good explainer.

  • @sabrinadiego3586
    @sabrinadiego3586 Před 5 lety

    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.

  • @AbdulazizMaiof
    @AbdulazizMaiof Před 7 lety +1

    Thaaanx

  • @MichealOliver-y5q
    @MichealOliver-y5q Před 6 dny

    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!

  • @bcasarez
    @bcasarez Před 13 lety

    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).

  • @djchillsbx1
    @djchillsbx1 Před 11 lety +1

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

  • @eduugr
    @eduugr Před 7 lety +1

    Thank you. You are really good explaining !!

  • @lamaaldosari7835
    @lamaaldosari7835 Před 7 lety +9

    Why did you divide by 5 instead of 4 ! I know that you have to divide by the number of data but in the standard deviation you have to subtract 1 from the number of data, so it should be 4 not 5 !? could someone explain ?

    • @lamaaldosari7835
      @lamaaldosari7835 Před 7 lety

      Ohh I just figured out that you calculated the standard deviation for a population not for a sample !!
      now it makes a lot of sense to me
      thanks !

    • @TabbyPlays
      @TabbyPlays Před 7 lety

      What is the standard? Population or the Sample?

    • @lamaaldosari7835
      @lamaaldosari7835 Před 7 lety

      he calculates population standard deviation

    • @adamlk100
      @adamlk100 Před 7 lety +1

      did you ever find the answer? cause i was thinking the same. thanks

    • @marcodewet8057
      @marcodewet8057 Před 5 lety

      population is when you have all the data that you need, thus only dividing by n, when you only have a sample of the data, you divide n-1

  • @jednx01
    @jednx01 Před 13 lety

    Everybody, please check your formulas. This video is almost correct, but he forgot that it's supposed to divide by (n-1). That means that the whole thing should be divded by 4, not 5 for the variance problems.

  • @regineyu34
    @regineyu34 Před 7 lety +1

    Your videos really help me get through my statistics class, thank you 💕

  • @samizaki7165
    @samizaki7165 Před 7 lety

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

  • @88spaces
    @88spaces Před 5 lety +1

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

  • @Mahmoud-ys1kt
    @Mahmoud-ys1kt Před rokem +2

    Simply , Its Great . Thank you

  • @Yud_Trinitarian
    @Yud_Trinitarian Před 4 lety

    1. explain how you determine if a graph has high or low variability
    2. Explain how you determine if a graph has high or low statistical bias.
    3. Explain the difference between stratified random sampling and cluster sampling.

  • @A11Omar
    @A11Omar Před 12 lety +3

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

  • @Norah9O2
    @Norah9O2 Před 13 lety

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

  • @Czathero
    @Czathero Před 11 lety +4

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

  • @XinhLe
    @XinhLe Před 7 lety +3

    Thanks so much (from Southern hemisphere)!

  • @LisaSmith-jo5hw
    @LisaSmith-jo5hw Před 9 lety +5

    You're a rock star! I totally get it. Thank you.

  • @dripsval6212
    @dripsval6212 Před 4 lety +2

    These people are in college learning this while I'm still in middle school learning thus during social distancing

    • @dripsval6212
      @dripsval6212 Před 4 lety

      @Yash Verma I wasn't trying to be
      Why are you mad?

  • @loboahriman7680
    @loboahriman7680 Před měsícem

    Teacher: "This is the mean. the MEAN. The MEEEAAAANN."
    Average Student : ".....what?"

  • @tasbeehdeyaa
    @tasbeehdeyaa Před 3 lety

    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.

  • @hariiiprasath
    @hariiiprasath Před 2 lety

    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.

  • @sindizwane7482
    @sindizwane7482 Před 2 lety +1

    I love your explanation really but I am bit confused with SD (standard deviation) but I will go back toy book and listen to this again. Thanks 🙏🏿

  • @SubscriptOutOfBounds
    @SubscriptOutOfBounds Před 11 lety +1

    In this example he's working on population so he uses N (5 -> entire population). However, we use N - 1 when dealing with a sample of the universe.

  • @timenotime
    @timenotime Před 4 lety

    this is SUCH a good video. i am doing a course in stats for uni and struggling so much because it's been years since i did maths (never been good at it) and i'm so happy i found this video because it's cleared up so much of what was confusing me about this whole SD vs. variance business

  • @abdulrahmankaka
    @abdulrahmankaka Před 11 lety +1

    now i get it thank you very much !

  • @ioannismarkoulakis4978

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

  • @ezzrivera1355
    @ezzrivera1355 Před 6 lety +1

    Thank youuu omg I can take my exam tomorrow in stat without any doubts with my answers

  • @kevinrandalrulach
    @kevinrandalrulach Před 2 lety

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

  • @muntaha5980
    @muntaha5980 Před 4 lety +1

    You saved my future and my mental health

  • @waterfairy2011
    @waterfairy2011 Před 10 měsíci

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

  • @SirSoloSoul
    @SirSoloSoul Před 12 lety

    If i hadn't left an entire math exam until tommorow this would've helped. thanks for the knowledge though.

  • @Naked_Snake
    @Naked_Snake Před 12 lety

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

  • @mbkfox
    @mbkfox Před 12 lety +2

    you are an amazing individual, thanks for making it simple

  • @saravaliyeva2591
    @saravaliyeva2591 Před 10 měsíci

    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

  • @krantigaurav9251
    @krantigaurav9251 Před 3 lety

    The sample standard deviation of the dataset 2, a, 12, 18, and 30 is 10.8 (correct upto one decimal place), where a is an unknown quantity. Then, the value of the sample variance of the new dataset that is obtained by adding 5 to each number of the given dataset is __________.

  • @kishwarbhuiyan743
    @kishwarbhuiyan743 Před 3 lety

    This video has helped me a lot to understand standard deviation and variance.Thanks a lot Khan Academy.

  • @johnpastorick444
    @johnpastorick444 Před 3 lety

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

  • @ninagetmoney9321
    @ninagetmoney9321 Před 6 lety

    thank GOD for you!! I was stressing in class. you just made it super simple for me!

  • @nikkishivoy9921
    @nikkishivoy9921 Před 2 lety +1

    The video helped me a lot in understanding Standard Deviation.

  • @catirerubio
    @catirerubio Před 6 měsíci

    Just when I began to understand this standard deviation and variance concept, I watched this video. Now I am so confused. Back to the beginning. With another tutor. Statistics are so HARD!