Variance - Clearly Explained (How To Calculate Variance)

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  • Опубліковано 7 січ 2025

КОМЕНТАРІ • 134

  • @StuffOffYouStuff
    @StuffOffYouStuff 10 місяців тому +12

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

  • @hitmanLis
    @hitmanLis Рік тому +50

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

  • @Krazy0
    @Krazy0 20 днів тому +2

    really? just 5:20 minutes to explain variance and standard deviation, and on top of that he explained information that made the comprehension of the meaning of the formula much clearer, so much that if somebody forgets the formula, he may recall it quite easily. Thank you!

  • @Borg8
    @Borg8 3 роки тому +9

    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!

  • @CeeStores
    @CeeStores 16 днів тому

    This is so very helpful. I love how you stated why we should use std deviation when finding the spread. And also, how you related it to the data set. Well-done!

  • @desertezz
    @desertezz Рік тому +3

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

  • @SharedDestiny
    @SharedDestiny 2 роки тому +7

    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.

  • @sas.nimastig8118
    @sas.nimastig8118 Рік тому +12

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

  • @Mr.E6969
    @Mr.E6969 Рік тому +1

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

  • @jakesparrow5716
    @jakesparrow5716 8 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.

  • @conornoble6205
    @conornoble6205 3 роки тому +7

    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!

  • @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

  • @Zeus56552
    @Zeus56552 3 місяці тому +1

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

  • @nurmohammad2979
    @nurmohammad2979 11 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!

  • @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!

  • @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.

  • @lettuce8897
    @lettuce8897 2 роки тому +5

    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.

  • @alexfontaine6233
    @alexfontaine6233 3 місяці тому

    Thank you!🙏 this is the best explanation out there

  • @gdm_music
    @gdm_music Рік тому

    love these kind of tutorials

  • @kousalyar9492
    @kousalyar9492 3 місяці тому

    Crisp and clear explanation...

  • @mehmetkrrtss
    @mehmetkrrtss Місяць тому

    thank you so much bro that was really clear. good job

  • @thedataprofs3867
    @thedataprofs3867 2 роки тому +1

    Clear and concise, great video!

  • @RachelLovelace
    @RachelLovelace 2 роки тому +21

    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 2 роки тому +5

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

    • @tahaanouar2453
      @tahaanouar2453 2 роки 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 2 роки тому +2

      @@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.

    • @santoshkhadka7916
      @santoshkhadka7916 Місяць тому

      If u get, answer plz

    • @marwa7388
      @marwa7388 Місяць тому

      @@santoshkhadka7916bro this was 2 years ago😭

  • @stephenscott5044
    @stephenscott5044 2 роки тому +1

    This was so clear. Super helpful. Thank you!

  • @eleahburman6888
    @eleahburman6888 2 місяці тому +1

    Why do we subtract 1 from the total data points (this is done at 2:11)? Why is it not just dividing by the total data points? That doesnt make sense to me when its in regards to an average so would love to understand (unless it has to do with us indexing starting at 0 rather than 1 or something?)

    • @eleahburman6888
      @eleahburman6888 2 місяці тому +1

      Oh nevermind - just got to the end of your video where you explained it with Bessel's correction due to a possible bias. Thank you!

  • @ZainYMijbil
    @ZainYMijbil 8 місяців тому

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

  • @alishamichelle166
    @alishamichelle166 10 місяців тому

    Thank you! I understood every word!

  • @Unknowing0011
    @Unknowing0011 Рік тому

    Thanks for the very clear explanation.

  • @stingwray6404
    @stingwray6404 2 роки тому +82

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

    • @kingler199
      @kingler199 2 роки тому +13

      HAHAHA THIS IS THE CONCLUSION THAT I HAVE ARRIVED TO

    • @RachelLovelace
      @RachelLovelace 2 роки тому +3

      Right?!

    • @shimasfaris2917
      @shimasfaris2917 2 роки тому +1

      Literally 😂

    • @borabozdogan1998
      @borabozdogan1998 Рік тому +11

      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 Рік тому

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

  • @mosama22
    @mosama22 Місяць тому

    Thank you for the Beautiful video 😊

  • @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…

  • @krishnateja7728
    @krishnateja7728 5 місяців тому

    Amazing!! Lovely explanation.

  • @Ms.Hanaaa_Hammam_English
    @Ms.Hanaaa_Hammam_English Рік тому

    incredible, thanks a lot

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

    Very well explained. Finally understand!

  • @absentbydefault
    @absentbydefault Рік тому

    Simple and clean, thanks

  • @katalinbrigittapetho4982
    @katalinbrigittapetho4982 Рік тому

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

  • @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

  • @aleksandrapopov1676
    @aleksandrapopov1676 2 роки тому

    Super cool explanation !!!! Thank you!

  • @Non-Existent03
    @Non-Existent03 Рік тому

    Thank you. I understand so well the concept.

  • @aproxymatt
    @aproxymatt Рік тому

    Massively helpful thank you

  • @santoshsahu-oy5vo
    @santoshsahu-oy5vo 4 місяці 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

  • @vindyakelum90
    @vindyakelum90 Рік тому

    Awesome nicely explained ❤❤

  • @ruhamasidqy6005
    @ruhamasidqy6005 5 місяців тому

    very informative sir, thank you

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

    Awesome video thanks for the video, dear! 😎

  • @Nico-nb5mp
    @Nico-nb5mp 4 місяці тому

    Amazing, thank you so much

  • @jackfrancis4528
    @jackfrancis4528 Рік тому +4

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

  • @annamelody5724
    @annamelody5724 11 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 ?

  • @financenanchahal8801
    @financenanchahal8801 2 роки тому

    Amazingly explained.....

  • @AakashKumar-iu7gx
    @AakashKumar-iu7gx 2 місяці тому

    Thank you very helpful

  • @sandorattilapabar6773
    @sandorattilapabar6773 3 роки тому +1

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

  • @muhammadomarkhayyamkhan3593

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

  • @marcao121
    @marcao121 Рік тому

    thanks and well explained

  • @AliMateen
    @AliMateen 3 роки тому

    Concise and complete

  • @e.s298
    @e.s298 Рік тому

    Thanks,so clear(:

  • @edwindsouza7157
    @edwindsouza7157 10 місяців тому

    nicely explained

  • @riyamary07
    @riyamary07 10 місяців тому

    Thank you ❤

  • @FrankT860
    @FrankT860 8 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.

  • @fathoniam8997
    @fathoniam8997 Рік тому

    wow, super clear.

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

    Tq sir very good explanation

  • @thegreenlandshark6086
    @thegreenlandshark6086 2 роки тому

    Thanks awesome explnantion

  • @sindre5988
    @sindre5988 8 місяців тому

    So fucking good, never stop

  • @alihayati7
    @alihayati7 Рік тому

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

  • @joymia2109
    @joymia2109 2 роки тому

    Very well expained

  • @mayankthakkar3587
    @mayankthakkar3587 Місяць тому

    Why we have to square negative figures to get variance?

  • @daphnepolemi6557
    @daphnepolemi6557 2 роки тому

    THANK YOU!

  • @evelyntromp789
    @evelyntromp789 11 місяців тому

    Amazing!!!!

  • @jaimedpcaus1
    @jaimedpcaus1 3 роки тому

    Just awesome!

  • @osnatcsillag8596
    @osnatcsillag8596 Рік тому

    thank you!!!

  • @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 ?

  • @ekramulhaque
    @ekramulhaque 2 роки тому

    great video

  • @Alireza10Rezaei10
    @Alireza10Rezaei10 3 роки тому

    thats great... thanks.

  • @richpeacock
    @richpeacock 9 місяців тому

    excellent

  • @gonzalomunozg
    @gonzalomunozg 2 роки тому +5

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

  • @couragee1
    @couragee1 3 роки тому

    thank you

  • @JakhongirShirinov
    @JakhongirShirinov Рік тому

    Thanks

  • @mtuncrr
    @mtuncrr 9 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

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  • @josephdlastrilla
    @josephdlastrilla Рік тому

    Supposed to be divided by 6?

  • @donnetteblake5108
    @donnetteblake5108 2 роки тому

    Is there a easier way to get 5he variance

  • @donnetteblake5108
    @donnetteblake5108 2 роки тому

    Is there a easier way to find the variance

  • @EllazizMohammed-e6l
    @EllazizMohammed-e6l Рік тому

    Tnx

  • @hb3393
    @hb3393 Місяць тому

    fuck me this is the clearest thing I think I've ever watched thank you!!

  • @JeromeSuniega
    @JeromeSuniega Рік тому

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

  • @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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    @Ruth_85u0 5 місяців тому

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  • @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!!??

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    @Jennifer__c3z5 5 місяців тому

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  • @furkananlar6794
    @furkananlar6794 2 роки тому

    king

  • @G7FX_REVIEWS
    @G7FX_REVIEWS 2 дні тому

    Why did you minus 1 from 6 when there is 6 points

  • @JohnBerry-q1h
    @JohnBerry-q1h 2 місяці тому

    I thought he said 🦆 🦆 ducks.
    Then I realized he said 🐕 🐩 dogs.

  • @subhadipmondal4555
    @subhadipmondal4555 Рік тому

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

  • @yiguy5ed6ugh8h7
    @yiguy5ed6ugh8h7 Рік тому

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

  • @santisav2
    @santisav2 Рік тому +5

    But why n-1.

    • @theobserver8881
      @theobserver8881 6 місяців тому +1

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

    • @yass-1323
      @yass-1323 3 місяці тому

      Degrees of freedom

  • @Anthony__7m1
    @Anthony__7m1 5 місяців тому

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  • @RubenJoseph-dk3wx
    @RubenJoseph-dk3wx 9 місяців тому

    I'd not understand about standard variance

  • @Gascoigne1
    @Gascoigne1 11 місяців тому

    Jay Pillai gang

  • @sahnounhbib9028
    @sahnounhbib9028 Рік тому

    Why 6-1

    • @mtuncrr
      @mtuncrr 9 місяців тому

      sample variance = n-1, population variance = n

  • @seb1452
    @seb1452 Рік тому

    hej

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    @Daniel_3k0q 5 місяців тому

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