Variance - Clearly Explained (How To Calculate Variance)

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  • Опубліковано 30 вер 2024

КОМЕНТАРІ • 120

  • @hitmanLis
    @hitmanLis Рік тому +40

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

  • @stingwray6404
    @stingwray6404 2 роки тому +75

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

    • @kingler199
      @kingler199 2 роки тому +11

      HAHAHA THIS IS THE CONCLUSION THAT I HAVE ARRIVED TO

    • @RachelLovelace
      @RachelLovelace Рік тому +3

      Right?!

    • @shimasfaris2917
      @shimasfaris2917 Рік тому +1

      Literally 😂

    • @borabozdogan1998
      @borabozdogan1998 Рік тому +10

      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 10 місяців тому

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

  • @RachelLovelace
    @RachelLovelace Рік тому +20

    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 Рік тому +5

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

    • @tahaanouar2453
      @tahaanouar2453 Рік тому +1

      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 Рік тому +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.

  • @sas.nimastig8118
    @sas.nimastig8118 10 місяців тому +4

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

  • @santisav2
    @santisav2 Рік тому +4

    But why n-1.

    • @theobserver8881
      @theobserver8881 3 місяці тому +1

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

    • @yass-1323
      @yass-1323 3 дні тому

      Degrees of freedom

  • @gonzalomunozg
    @gonzalomunozg 2 роки тому +5

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

  • @annamelody5724
    @annamelody5724 8 місяців тому +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 ?

  • @StuffOffYouStuff
    @StuffOffYouStuff 6 місяців тому +5

    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 роки тому +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!

  • @SharedDestiny
    @SharedDestiny 2 роки тому +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.

  • @Cheesecake99YearsAgo
    @Cheesecake99YearsAgo Рік тому +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

  • @conornoble6205
    @conornoble6205 2 роки тому +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!

  • @jackfrancis4528
    @jackfrancis4528 Рік тому +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

  • @santoshsahu-oy5vo
    @santoshsahu-oy5vo Місяць тому

    It is really helpful for me thanks a lot...
    Keep making videos in statistics for us in series according to the chapter.
    And please if you have already prepared the videos on it kindly share me the link.
    I need videos on: 1. Time Series,
    2. Stationary Process and ARIMA Models,
    3. Exponential Smoothing Models
    4. ARCH/GARCH Models
    5. Introduction to Artificial Intelligence
    6. Application of AI
    7. Introduction to Deep Learning
    8. Artificial Neural Networks
    9. Convolutional Neural Networks
    10. Deep Learning Applications
    11. Reinforcement Learning
    12. Image Recognition using Deep Learning
    13. Image Recognition using Deep Learning
    Thanks

  • @Zeus56552
    @Zeus56552 8 днів тому

    My man explained the concept so simplistically, that I feel dumb to not understand this concept earlier!!

  • @Jennifer__c3z5
    @Jennifer__c3z5 2 місяці тому

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  • @desertezz
    @desertezz Рік тому +3

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

  • @OnerousEthic
    @OnerousEthic 2 роки тому +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 2 роки тому

      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 2 роки тому

      @@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…

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    @Wonda-m3b 2 місяці тому

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  • @mtuncrr
    @mtuncrr 6 місяців тому

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

  • @subhadipmondal4555
    @subhadipmondal4555 Рік тому

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

  • @Joseph_757w
    @Joseph_757w 2 місяці тому

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  • @Ms.Hanaaa_Hammam_English
    @Ms.Hanaaa_Hammam_English Рік тому

    incredible, thanks a lot

  • @FrankT860
    @FrankT860 5 місяців тому

    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.

  • @alexfontaine6233
    @alexfontaine6233 8 днів тому

    Thank you!🙏 this is the best explanation out there

  • @Anthony__7m1
    @Anthony__7m1 2 місяці тому

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  • @im-Anarchy
    @im-Anarchy Рік тому

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

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    @Daniel_3k0q 2 місяці тому

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  • @sandorattilapabar6773
    @sandorattilapabar6773 3 роки тому +1

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

  • @Ruth_85u0
    @Ruth_85u0 2 місяці тому

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  • @JeromeSuniega
    @JeromeSuniega 10 місяців тому

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

  • @krishnateja7728
    @krishnateja7728 2 місяці тому

    Amazing!! Lovely explanation.

  • @stephenscott5044
    @stephenscott5044 2 роки тому +2

    This was so clear. Super helpful. Thank you!

  • @kousalyar9492
    @kousalyar9492 17 днів тому

    Crisp and clear explanation...

  • @ruhamasidqy6005
    @ruhamasidqy6005 Місяць тому

    very informative sir, thank you

  • @Nico-nb5mp
    @Nico-nb5mp 28 днів тому

    Amazing, thank you so much

  • @RubenJoseph-dk3wx
    @RubenJoseph-dk3wx 6 місяців тому

    I'd not understand about standard variance

  • @sindre5988
    @sindre5988 4 місяці тому

    So fucking good, never stop

  • @josephdlastrilla
    @josephdlastrilla 10 місяців тому

    Supposed to be divided by 6?

  • @yiguy5ed6ugh8h7
    @yiguy5ed6ugh8h7 Рік тому

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

  • @fridaa.l.2191
    @fridaa.l.2191 2 роки тому +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.

  • @salimmayan9646
    @salimmayan9646 Рік тому

    Thank you

  • @lettuce8897
    @lettuce8897 2 роки тому +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.

  • @alihayati7
    @alihayati7 Рік тому

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

  • @Unknowing0011
    @Unknowing0011 Рік тому

    Thanks for the very clear explanation.

  • @chocoberry434
    @chocoberry434 Рік тому

    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!

  • @jakesparrow5716
    @jakesparrow5716 5 місяців тому

    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.

  • @muhammadomarkhayyamkhan3593
    @muhammadomarkhayyamkhan3593 9 місяців тому

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

  • @nurmohammad2979
    @nurmohammad2979 8 місяців тому

    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!

  • @ZainYMijbil
    @ZainYMijbil 5 місяців тому

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

  • @johnvincentraj
    @johnvincentraj 2 роки тому

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

  • @katalinbrigittapetho4982
    @katalinbrigittapetho4982 10 місяців тому

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

  • @trolltoll440
    @trolltoll440 Рік тому

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

  • @konrad4478
    @konrad4478 20 днів тому

    So what

  • @Gascoigne1
    @Gascoigne1 7 місяців тому

    Jay Pillai gang

  • @Mr.E6969
    @Mr.E6969 Рік тому

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

  • @gdm_music
    @gdm_music 9 місяців тому

    love these kind of tutorials

  • @EllazizMohammed-e6l
    @EllazizMohammed-e6l Рік тому

    Tnx

  • @richpeacock
    @richpeacock 6 місяців тому

    excellent

  • @thedataprofs3867
    @thedataprofs3867 2 роки тому +1

    Clear and concise, great video!

  • @Non-Existent03
    @Non-Existent03 Рік тому

    Thank you. I understand so well the concept.

  • @JakhongirShirinov
    @JakhongirShirinov 11 місяців тому

    Thanks

  • @alishamichelle166
    @alishamichelle166 6 місяців тому

    Thank you! I understood every word!

  • @user-im8ei6lq2o
    @user-im8ei6lq2o 2 роки тому

    Awesome video thanks for the video, dear! 😎

  • @aproxymatt
    @aproxymatt 10 місяців тому

    Massively helpful thank you

  • @user-gc9vr4rv3p
    @user-gc9vr4rv3p 2 роки тому

    Tq sir very good explanation

  • @seb1452
    @seb1452 Рік тому

    hej

  • @egemenbags5465
    @egemenbags5465 6 місяців тому

    You did nothing explained for whole of the video

    • @Franckzzz
      @Franckzzz 6 місяців тому

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

    • @egemenbags5465
      @egemenbags5465 6 місяців тому

      @@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.

  • @Mel-nc3yo
    @Mel-nc3yo 2 роки тому

    Very well explained. Finally understand!

  • @aleksandrapopov1676
    @aleksandrapopov1676 2 роки тому

    Super cool explanation !!!! Thank you!

  • @vindyakelum90
    @vindyakelum90 Рік тому

    Awesome nicely explained ❤❤

  • @donnetteblake5108
    @donnetteblake5108 2 роки тому

    Is there a easier way to find the variance

  • @absentbydefault
    @absentbydefault Рік тому

    Simple and clean, thanks

  • @donnetteblake5108
    @donnetteblake5108 2 роки тому

    Is there a easier way to get 5he variance

  • @Mobliephone
    @Mobliephone 2 роки тому

    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 2 роки тому

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

    • @Mobliephone
      @Mobliephone 2 роки тому

      @@harisudhan8481 Yeah your right....!

    • @Mobliephone
      @Mobliephone 2 роки тому

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

  • @thegreenlandshark6086
    @thegreenlandshark6086 2 роки тому

    Thanks awesome explnantion

  • @e.s298
    @e.s298 Рік тому

    Thanks,so clear(:

  • @marcao121
    @marcao121 Рік тому

    thanks and well explained

  • @fathoniam8997
    @fathoniam8997 Рік тому

    wow, super clear.

  • @edwindsouza7157
    @edwindsouza7157 6 місяців тому

    nicely explained

  • @financenanchahal8801
    @financenanchahal8801 2 роки тому

    Amazingly explained.....

  • @riyamary07
    @riyamary07 7 місяців тому

    Thank you ❤

  • @Alireza10Rezaei10
    @Alireza10Rezaei10 2 роки тому

    thats great... thanks.

  • @sahnounhbib9028
    @sahnounhbib9028 11 місяців тому

    Why 6-1

    • @mtuncrr
      @mtuncrr 6 місяців тому

      sample variance = n-1, population variance = n

  • @ekramulhaque
    @ekramulhaque Рік тому

    great video

  • @osnatcsillag8596
    @osnatcsillag8596 Рік тому

    thank you!!!

  • @evelyntromp789
    @evelyntromp789 8 місяців тому

    Amazing!!!!

  • @AliMateen
    @AliMateen 2 роки тому

    Concise and complete

  • @aniruddhakumar6
    @aniruddhakumar6 Рік тому

    thank you

  • @minecraftrtx2894
    @minecraftrtx2894 2 роки тому

    Thank you

  • @couragee1
    @couragee1 2 роки тому

    thank you

  • @furkananlar6794
    @furkananlar6794 2 роки тому

    king

  • @jaimedpcaus1
    @jaimedpcaus1 3 роки тому

    Just awesome!

  • @daphnepolemi6557
    @daphnepolemi6557 2 роки тому

    THANK YOU!

  • @joymia2109
    @joymia2109 2 роки тому

    Very well expained

  • @bigsassyster
    @bigsassyster Рік тому

    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...)