Variance - Clearly Explained (How To Calculate Variance)

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  • เผยแพร่เมื่อ 3 ก.ค. 2024
  • In this video, I’m going to clearly explain what variance is in statistics. I will also show you how to calculate variance by using a very simple example.
    VIDEO CHAPTERS
    00:00 Intro
    00:14 Definition of variance
    00:28 How to calculate variance (example)
    03:19 Calculating standard deviation from variance
    03:54 Plotting the standard deviation
    04:36 Variance for sample vs population
    05:34 Summary
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  • แนวปฏิบัติและการใช้ชีวิต

ความคิดเห็น • 105

  • @hitmanLis
    @hitmanLis ปีที่แล้ว +33

    super clear. to the point. no excess details! just perfect pace, flow, and details, wow!

  • @StuffOffYouStuff
    @StuffOffYouStuff 3 หลายเดือนก่อน +4

    absolutely brilliant! The simplest and clearest explanation yet, without starting with the equations too which just confuses people! You're a genius! Thanks

  • @Borg8
    @Borg8 2 ปีที่แล้ว +7

    Awesome!
    This video is perfect on each level.
    You speak loud and clear,
    Explanation are perfect,
    The video devided to topics.
    Thank you for your effort!

  • @conornoble6205
    @conornoble6205 2 ปีที่แล้ว +8

    These are great videos you're doing here. I just started an online statistics course and your explanations have been helping out a lot! Thanks!

  • @desertezz
    @desertezz ปีที่แล้ว +2

    One of the best explanations of variance I've ever seen.

  • @jakesparrow5716
    @jakesparrow5716 2 หลายเดือนก่อน

    Finally a video answering my question in a straight forward manor. What I'd struggled to get a clear explaination on was both interpreting the variance/St dev as well as what there significance was relative to the average.

  • @stephenscott5044
    @stephenscott5044 ปีที่แล้ว +2

    This was so clear. Super helpful. Thank you!

  • @SharedDestiny
    @SharedDestiny ปีที่แล้ว +6

    Thanks a lot. You are a great teacher sir. So easy to understand. Do keep sharing. You are helping people at large and contributing to their success.

  • @Mr.E6969
    @Mr.E6969 9 หลายเดือนก่อน

    Thank you 🙏 you explained it a thousand standard deviations better than my professor. You're a life saver!

  • @gdm_music
    @gdm_music 6 หลายเดือนก่อน

    love these kind of tutorials

  • @absentbydefault
    @absentbydefault 9 หลายเดือนก่อน

    Simple and clean, thanks

  • @Mel-nc3yo
    @Mel-nc3yo ปีที่แล้ว

    Very well explained. Finally understand!

  • @alishamichelle166
    @alishamichelle166 3 หลายเดือนก่อน

    Thank you! I understood every word!

  • @Unknowing0011
    @Unknowing0011 10 หลายเดือนก่อน

    Thanks for the very clear explanation.

  • @aleksandrapopov1676
    @aleksandrapopov1676 ปีที่แล้ว

    Super cool explanation !!!! Thank you!

  • @ZainYMijbil
    @ZainYMijbil 2 หลายเดือนก่อน

    Cheers. It is very helpful (simple, neat, and elegant)

  • @thedataprofs3867
    @thedataprofs3867 ปีที่แล้ว +1

    Clear and concise, great video!

  • @Non-Existent03
    @Non-Existent03 ปีที่แล้ว

    Thank you. I understand so well the concept.

  • @katalinbrigittapetho4982
    @katalinbrigittapetho4982 7 หลายเดือนก่อน

    Thank you so much for this video! It is just perfect!

  • @nurmohammad2979
    @nurmohammad2979 5 หลายเดือนก่อน

    Well explained. I am working on spatial analysis of variance of climate datasets, this video helped me to clearly understand what variance is and where to apply!

  • @trolltoll440
    @trolltoll440 ปีที่แล้ว

    Thank you for making a video that was so easy to understand that i was able to watch while trimming my armpit hair

  • @financenanchahal8801
    @financenanchahal8801 2 ปีที่แล้ว

    Amazingly explained.....

  • @lettuce8897
    @lettuce8897 2 ปีที่แล้ว +6

    Thank you so much! I have a machine learning and artificial intelligence module in university and I did not take focus on maths as one of my modules before university so I was really confused when I first encountered it. This helped me understand it a lot and you talk very clearly and concisely.

  • @aproxymatt
    @aproxymatt 7 หลายเดือนก่อน

    Massively helpful thank you

  • @AliMateen
    @AliMateen 2 ปีที่แล้ว

    Concise and complete

  • @chocoberry434
    @chocoberry434 9 หลายเดือนก่อน

    i wanna say thank you so much that im crying because now i really know what variance and standar deviation is😭😭😭✨✨✨ your explanation is everything! this helps me a lott!

  • @user-im8ei6lq2o
    @user-im8ei6lq2o 2 ปีที่แล้ว

    Awesome video thanks for the video, dear! 😎

  • @fridaa.l.2191
    @fridaa.l.2191 2 ปีที่แล้ว +1

    Thank you very much, with your videos I have been able not just to understand, but also to love more statistics.
    :) Greetings from Mexico.

    • @StevenBradburn
      @StevenBradburn  2 ปีที่แล้ว

      Excellent! Thanks for the feedback Frida

  • @Ms.Hanaaa_Hammam_English
    @Ms.Hanaaa_Hammam_English ปีที่แล้ว

    incredible, thanks a lot

  • @marcao121
    @marcao121 ปีที่แล้ว

    thanks and well explained

  • @riyamary07
    @riyamary07 4 หลายเดือนก่อน

    Thank you ❤

  • @vindyakelum90
    @vindyakelum90 10 หลายเดือนก่อน

    Awesome nicely explained ❤❤

  • @edwindsouza7157
    @edwindsouza7157 3 หลายเดือนก่อน

    nicely explained

  • @evelyntromp789
    @evelyntromp789 5 หลายเดือนก่อน

    Amazing!!!!

  • @thegreenlandshark6086
    @thegreenlandshark6086 2 ปีที่แล้ว

    Thanks awesome explnantion

  • @e.s298
    @e.s298 11 หลายเดือนก่อน

    Thanks,so clear(:

  • @salimmayan9646
    @salimmayan9646 10 หลายเดือนก่อน

    Thank you

  • @jaimedpcaus1
    @jaimedpcaus1 2 ปีที่แล้ว

    Just awesome!

  • @fathoniam8997
    @fathoniam8997 9 หลายเดือนก่อน

    wow, super clear.

  • @user-gz2yn9zr2y
    @user-gz2yn9zr2y 2 ปีที่แล้ว

    thats great... thanks.

  • @osnatcsillag8596
    @osnatcsillag8596 ปีที่แล้ว

    thank you!!!

  • @user-gc9vr4rv3p
    @user-gc9vr4rv3p ปีที่แล้ว

    Tq sir very good explanation

  • @richpeacock
    @richpeacock 3 หลายเดือนก่อน

    excellent

  • @user-ig2ej6gw8n
    @user-ig2ej6gw8n 8 หลายเดือนก่อน

    Thanks

  • @RachelLovelace
    @RachelLovelace ปีที่แล้ว +17

    Question: Why variance? I understand why Standard Deviation, but how does using variance clarify our data for interpretation? Thank you for the great video.

    • @nielsnaser4793
      @nielsnaser4793 ปีที่แล้ว +4

      i have the same question, i cant find it anywhere on the internet

    • @tahaanouar2453
      @tahaanouar2453 ปีที่แล้ว

      You're right I've been searching for an explanation to this without finding a clear answer, I only found out that the Mean Absolute Deviation is more inituitive measurement of spread for me...

    • @nielsnaser4793
      @nielsnaser4793 ปีที่แล้ว +1

      @@tahaanouar2453 ive found the answer, variance is needed because further in statistics the variance should be the same between multiple variables. (variables that you set up against eachother) if one variance is bigger then the other your fucked. So for now remember that this is something for example a anova test.

  • @couragee1
    @couragee1 2 ปีที่แล้ว

    thank you

  • @daphnepolemi6557
    @daphnepolemi6557 2 ปีที่แล้ว

    THANK YOU!

  • @Cheesecake99YearsAgo
    @Cheesecake99YearsAgo ปีที่แล้ว +3

    Good explanation
    Would be better if you could include maybe 3 to 5 examples so we have a better sense of how it works

  • @sas.nimastig8118
    @sas.nimastig8118 7 หลายเดือนก่อน +1

    My guy did something in 5 mins that my uni teacher couldn't do in 3 months🤣❤

  • @ekramulhaque
    @ekramulhaque ปีที่แล้ว

    great video

  • @user-wt2by1xt7z
    @user-wt2by1xt7z ปีที่แล้ว

    Tnx

  • @jackfrancis4528
    @jackfrancis4528 11 หลายเดือนก่อน +3

    Hello. Great video. I am curious what benefit using variance has over standard deviation. In what situation would I use variance instead? Thank you

  • @sindre5988
    @sindre5988 หลายเดือนก่อน

    So fucking good, never stop

  • @sandorattilapabar6773
    @sandorattilapabar6773 3 ปีที่แล้ว +1

    Finally! Statistic basics, where I doesn't fall asleep.

  • @muhammadomarkhayyamkhan3593
    @muhammadomarkhayyamkhan3593 6 หลายเดือนก่อน

    Whey we need variance and where do we use ? Please explain. It was good explanation.

  • @stingwray6404
    @stingwray6404 2 ปีที่แล้ว +66

    Essentially variance’s only use is to calculate standard deviation, which is actually helpful to interpret data 😂

    • @kingler199
      @kingler199 2 ปีที่แล้ว +10

      HAHAHA THIS IS THE CONCLUSION THAT I HAVE ARRIVED TO

    • @RachelLovelace
      @RachelLovelace ปีที่แล้ว +3

      Right?!

    • @shimasfaris2917
      @shimasfaris2917 ปีที่แล้ว +1

      Literally 😂

    • @borabozdogan1998
      @borabozdogan1998 ปีที่แล้ว +8

      You're right but it's a little more complicated than that.
      The variances of independent variables can be add up, but the standart deviations can't (because when we take the root of each variance individually and then sum them up we get a biased result)
      Also the variance has plenty of mathematical uses, which the standart deviation can't achieve.
      Hope this helped

    • @jacobstrength3945
      @jacobstrength3945 7 หลายเดือนก่อน

      It’s also used when determining standard error, which is used for determining margins of error.

  • @joymia2109
    @joymia2109 2 ปีที่แล้ว

    Very well expained

  • @alihayati7
    @alihayati7 ปีที่แล้ว

    First of all, great video. Second, can u please explain why we get ZERO if we don't square. Thanks 😊

  • @FrankT860
    @FrankT860 2 หลายเดือนก่อน

    Really good video. One question. When can we say that the variance is low or high? is there any kind of global value to refer to the data when the variance is low or high?
    Really good video.

  • @OnerousEthic
    @OnerousEthic 2 ปีที่แล้ว +3

    That is one definition of The Variance; here is mine: it is the rule by which one dimensional scalar data is converted to two dimensional data to map one dimensional (linear) data into two dimensional (probability) space. It is based upon geometry and Pythagorean Theorem. Does that make sense?
    Here is another definition: it is a square in imaginary space, the area of which is the sum the areas of all the individual variances, and it is a two dimensional probability space. We calculated it was integration.
    We can reduce the space from two dimensions into one by taking the square root of that scaler. That is the standard deviation. The standard deviation is the square root of the variance.
    2:48: 28.4 is the radius of the circle in the space that was constructed from the data. It is the hypotenuse of a triangle that was constructed by adding the “Areas of Deviance” from the data points.
    3:00 Because the Variance is the hypotenuse of a triangle that was constructed from the products of right triangles, we may use The Pythagorean Theorum to calculate its length by finding the square root.
    YW! Upvotes please!

    • @Sam-vz8gn
      @Sam-vz8gn ปีที่แล้ว

      How would to represent variance using a two dimensional graph & what would it represent? How would it be different from that of Standard deviation?

    • @OnerousEthic
      @OnerousEthic ปีที่แล้ว

      @@Sam-vz8gn I made a mistake! It is the standard deviation that is the hypotenuse: The standard deviation is the square root of the variance!
      I am in the process of re-writing my post until further notice…

  • @johnvincentraj
    @johnvincentraj 2 ปีที่แล้ว

    What is the value of Standard Deviation were the observations are the lengths in days of the 12 different months in a leap year ?

  • @annamelody5724
    @annamelody5724 5 หลายเดือนก่อน +1

    Hi, i have a line of data which consists of these numbers {4, 3, 5, 6 ,4, 5, 7,6,5,4} and i have Mean = 4,9 and the variance of 1.4333. My question is, is this variance considered high or low ?

  • @mtuncrr
    @mtuncrr 3 หลายเดือนก่อน

    I don't know how many ways there are to calculate the variance but I calculate it by (EX^2-(EX)^2/N)/N

  • @furkananlar6794
    @furkananlar6794 ปีที่แล้ว

    king

  • @gonzalomunozg
    @gonzalomunozg 2 ปีที่แล้ว +3

    The “n” of the population variance should be “N”

  • @donnetteblake5108
    @donnetteblake5108 ปีที่แล้ว

    Is there a easier way to find the variance

  • @donnetteblake5108
    @donnetteblake5108 ปีที่แล้ว

    Is there a easier way to get 5he variance

  • @josephdlastrilla
    @josephdlastrilla 7 หลายเดือนก่อน

    Supposed to be divided by 6?

  • @bigsassyster
    @bigsassyster ปีที่แล้ว

    If I pull a card to try for the ace of spades (1/52 chance) and I win $500 each time I do, and $0 all the other times, how do I calculate the variance? each pull would be 1/52 (not 1/52 then 1/51 then 1/50...)

  • @user-lm2oe9wi5h
    @user-lm2oe9wi5h 7 หลายเดือนก่อน

    Are the data points really obtainted from a sample population ? Why did he consider all the data sets in that case?

  • @subhadipmondal4555
    @subhadipmondal4555 10 หลายเดือนก่อน

    This type of explanation, I called them " BULLSEYE EXPLANATION " !!

  • @im-Anarchy
    @im-Anarchy ปีที่แล้ว

    please tell couldn't we have just taken sum of absolute values rather squaring them

  • @santisav2
    @santisav2 ปีที่แล้ว +2

    But why n-1.

    • @theobserver8881
      @theobserver8881 6 วันที่ผ่านมา

      cuz the mean has been subtracted from each value, so one less value.

  • @yiguy5ed6ugh8h7
    @yiguy5ed6ugh8h7 10 หลายเดือนก่อน

    Variance ---> SD ---> SE
    Welcome

  • @Mobliephone
    @Mobliephone ปีที่แล้ว

    I don't understand one thing .......why should we square the values that we have subtracted from mean.........I am tense about this question

    • @harisudhan8481
      @harisudhan8481 ปีที่แล้ว

      If you don't square, the sum would be zero. To avoid that we square and add them

    • @Mobliephone
      @Mobliephone ปีที่แล้ว

      @@harisudhan8481 Yeah your right....!

    • @Mobliephone
      @Mobliephone ปีที่แล้ว

      @@harisudhan8481 But can't we take values as it is!!??

  • @Gascoigne1
    @Gascoigne1 4 หลายเดือนก่อน

    Jay Pillai gang

  • @seb1452
    @seb1452 ปีที่แล้ว

    hej

  • @RubenJoseph-dk3wx
    @RubenJoseph-dk3wx 3 หลายเดือนก่อน

    I'd not understand about standard variance

  • @sahnounhbib9028
    @sahnounhbib9028 8 หลายเดือนก่อน

    Why 6-1

    • @mtuncrr
      @mtuncrr 3 หลายเดือนก่อน

      sample variance = n-1, population variance = n

  • @egemenbags5465
    @egemenbags5465 3 หลายเดือนก่อน

    You did nothing explained for whole of the video

    • @Franckzzz
      @Franckzzz 3 หลายเดือนก่อน

      I think it’s maybe because your English is not good enough to comprehend what he is teaching.

    • @egemenbags5465
      @egemenbags5465 3 หลายเดือนก่อน

      @@Franckzzznah my english is pretty enough to understand these type of videos but in the video he explained nothing he just showed us how variance is calculated. This is not an explanation of what variance is.

  • @minecraftrtx2894
    @minecraftrtx2894 2 ปีที่แล้ว

    Thank you

  • @aniruddhakumar6
    @aniruddhakumar6 ปีที่แล้ว

    thank you