Variance (Simply explained)

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  • Опубликовано: 4 ноя 2024

Комментарии • 74

  • @bradhughes
    @bradhughes Год назад +23

    I can't put into words how helpful this video is! I'm a working adult taking a data analytics certificate course. I did not do well in high school math because I needed the visual representation and context to make maths meaningful and memorable. If I had videos like this, I might have gone to college. Sincerely, thank you!

  • @shivdholakia
    @shivdholakia Год назад +7

    I love all your videos. The way you teach with patience, clarity and examples. You are a great teacher.

    • @datatab
      @datatab  Год назад +1

      Glad you like them! Regards, Hannah

  • @nijadhav
    @nijadhav Год назад +4

    I came across many explanation of variance and SD.
    None took the unit in to account. Great explanation.

  • @milonmitra3584
    @milonmitra3584 2 года назад +6

    I wanted to know about variance from RUclips. Only your video served my purpose.

    • @datatab
      @datatab  2 года назад

      Many thanks for the nice Feedback!!!!

    • @seka8601
      @seka8601 Год назад

      Very long and boring

    • @seka8601
      @seka8601 Год назад

      Anyway she didnt explain what variance is

  • @MatthewL1231
    @MatthewL1231 Месяц назад

    This channel is so fucking underrated - saved my arse and bailed me out numerous times - appreciate it!

  • @Stupid2202
    @Stupid2202 6 месяцев назад +1

    It's amazing how easy to understand the teaching is. Thank you

    • @datatab
      @datatab  6 месяцев назад

      Glad it was helpful! Regerds, Hannah

  • @inr4174
    @inr4174 Год назад +4

    Thank you so much for your clear explanation! Self-learning is made easier for us international students with your help

  • @Allin1Xavi
    @Allin1Xavi 10 месяцев назад +1

    After thinking and ruminating about it for a solid half an hour straight, I think I finally understand. Basically you can’t have the STD (standard deviation) without getting the variance first.
    It all goes back to squaring each variables and their variation from the mean individually because we want the variance to be a positive value since a variance of 0 indicates all values are identical, thus you cannot have a variance with a negative value since it would entail nothing but rather a possible error in calculation.
    You could just change each individual value where the variation is a negative value, meaning that value falls below the mean value, to a positive value without having to square them to get the STD that way that would be tedious and counterintuitive especially when dealing with much larger sample sizes.
    In the end, squaring all values allows every value to be on the same level of measurement, whether with negative or positive variations, prevents having to do tedious guesswork of figuring out which values fall below the mean and changing those that do that have negative variation to positive.
    Please tell me I finally got it right 😢

    • @datatab
      @datatab  10 месяцев назад +1

      Yes, that sounds good!!!

  • @Mabelliot
    @Mabelliot Год назад +1

    thanl you so much! also your accent actually is very soothing so it makes learning easier, the slow pronunciations and stuff. my best math teacher in high school had a similar accent and I was an ace in that class :D!

    • @datatab
      @datatab  Год назад

      Glad I could help and many thanks for your nice feedback!!! Regards, Hannah

  • @RAMALHOCORTONDO
    @RAMALHOCORTONDO 2 года назад +1

    Excellent! I'm using the materials for my students. I'm from Uruguay. Thanks a lot!

    • @datatab
      @datatab  Год назад

      Happy to help and thanks for the nice feedback : )

  • @arslanasghar2872
    @arslanasghar2872 Год назад

    Bunch of respect for you, my teacher❤

  • @mohamedrezk231
    @mohamedrezk231 Год назад +4

    Variance in its simplest form👏👏

  • @pradeepkandpal7523
    @pradeepkandpal7523 Год назад +1

    Thanks!! Nice explanation. Just a query, shouldn't it be µ as opposed to x bar as it's being calculated for a population. Doesen't affect the logic though but still thought I should bring it to your attention.

  • @shraddhaverma1944
    @shraddhaverma1944 11 месяцев назад

    Very nicely and simply explained

  • @nanswik
    @nanswik Год назад +1

    Your channel is extremely nice. Beautiful explanation.

    • @datatab
      @datatab  Год назад

      Again many thanks!

  • @vuthihang4603
    @vuthihang4603 9 месяцев назад

    Very helpful and clear! Thanks so much!

  • @szamee83
    @szamee83 2 года назад +3

    Thanks for this, great explanation. Can elaborate on the reasoning for 1/(n-1)? Why is it (n-1) for sample populations? Why not, say, (n-2) or (n-3.56)? Thanks

    • @datatab
      @datatab  2 года назад +2

      Hmm, the answer is a bit complicated and depends on the degrees of freedom. I will try to make a video about it!

    • @pradeepkandpal7523
      @pradeepkandpal7523 Год назад +1

      When we draw samples from a population, we assume that the samples are drawn in such a way that their mean "s" is a true estimate for the population mean "μ". But there might be situations where we end up drawing samples from the extreme end of the population and their mean is either way less or way more from the actual population mean thereby resulting in a significant deviation of the sample variance from the actual population variance. To counter that, we use "n-1" in the denominator which provides an unbiased estimate for the true population variance.
      There are arguments as to why only "n-1" is used and not "n-2" or "n-3" "n-x" etc. but researchers after doing so may studies came to the conclusion that "n-1" tends to bring the sample variance much closer to the population variance as compared to "n-2", "n-3" "n-x" and so on.

    • @szamee83
      @szamee83 Год назад

      thank you. Do you have a preferred resource or reference for statistics questions such as the one I had asked? I appreciate your response, thanks.
      @@pradeepkandpal7523

  • @anshulnarela9888
    @anshulnarela9888 2 года назад +1

    Thank you for the easy explanation.✌️😊

    • @datatab
      @datatab  Год назад +1

      My pleasure 😊

  • @abhinandhanvijayanand8739
    @abhinandhanvijayanand8739 7 месяцев назад

    the denominator when we calculate variance has to be n-1(i.e., 5 in this case) not n(i.e., 6)

  • @ivanurbina2422
    @ivanurbina2422 10 месяцев назад

    Thank you so much and now I understand the diferencence between variance & std😀

  • @sundusoomro
    @sundusoomro Год назад

    how would you tell a story using both? variance and MAD? what would the story look like? thanks trying to put these in reporting words

  • @researchmethodologyineduca3270
    @researchmethodologyineduca3270 2 года назад +1

    Thank for this awesome explanation.

    • @datatab
      @datatab  2 года назад

      Glad it was helpful!

  • @rajanvk939
    @rajanvk939 2 года назад +2

    Hello Data Tab Team. Thank you so much for this wonderful explanation. I now understood it nicely. I have one question regarding the calculation of the position of the median. Why is n/2 used in continuous series and (n+1) /2 is used in discrete series to find median? I will highly appreciate for your explanation

    • @datatab
      @datatab  2 года назад +2

      Hi, thank you for your feedback! I'm afraid I don't know exactly what you mean! If the measured values of a variable are ordered by size, the value in the middle is the median. The median is therefore the "middle value" of a distribution. It leads to a division of the series into two parts: one half is smaller and one is larger than the median. If there is an odd number of characteristic values, then the median is a value that actually occurs. If there is an even number of characteristic carriers (persons), the two middle characteristics are added together and their sum is divided by two. I hope that helps! Regards Hannah

    • @rajanvk939
      @rajanvk939 2 года назад +1

      @@datatab Thank you so much it helped a lot. Sometime I see in formula to calculate median class for group data like class intervals (0-10, 10-20, 20-30, 30-40) it includes n/2 instead of (n+1)/2. So why there is differene in the formula?

    • @datatab
      @datatab  2 года назад +1

      @@rajanvk939 Unfortunately, I cannot give you an answer here. Perhaps it is because of whether it is an even or odd number of values.

  • @jigdreldorji4416
    @jigdreldorji4416 2 года назад +1

    The use of values (individual readings or Xi) to calculate variance is confusing. Just wondering from where those readings 173, 147, 161 etc came from? Kindly watch at 3:41 mins of vedio length. The values could have been (18-155)2 +(8-155)2+(15-155)2 etc...

    • @datatab
      @datatab  2 года назад

      It is just the mean plus the difference in the picture. 18+155=173, 155-8=155,.... Regards, Hannah

  • @Nura853
    @Nura853 2 года назад +1

    Thank you! Excellent explanation!

    • @datatab
      @datatab  Год назад

      Glad it was helpful!

  • @mychanneltest8623
    @mychanneltest8623 Год назад

    Is the quadratic mean important to know? I didn't really understand that tbh.

  • @karunshrestha3173
    @karunshrestha3173 Месяц назад

    Why don’t we just square root the square unit only ?
    It would be interpretable after that right ?

  • @abhapareek118
    @abhapareek118 11 месяцев назад +1

    So good

    • @datatab
      @datatab  11 месяцев назад

      Thanks : )

  • @thatomofolo452
    @thatomofolo452 Месяц назад

    Gracias ❣️

  • @atasagun1437
    @atasagun1437 Год назад +1

    Thanks Nice video

  • @varonjadawn4032
    @varonjadawn4032 5 месяцев назад

    Thanks. This helped :)

  • @thugism1545
    @thugism1545 2 года назад

    I have a doubt. We are squaring only the numerator in the variance but why do we put square root for the entire equation while calculating Standard Deviation. Shouldn't it be only the numerator that has to be square rooted?

    • @brentonfender2081
      @brentonfender2081 2 года назад

      I think you're having an order of operations error.

  • @anyaa1211
    @anyaa1211 2 года назад +1

    Excuse me. For the definition, not the formula, what are the differences between variance and mean deviation?

    • @datatab
      @datatab  2 года назад

      In one case you square the distance between each point and the mean value and in the second case you just use the absolute value. Both therefore say something similar, but it is mostly the variance that is used. Regards Hannah

    • @anyaa1211
      @anyaa1211 2 года назад

      @@datatab Thank you 🙏

  • @larissacury7714
    @larissacury7714 7 месяцев назад +1

    thanks!

    • @datatab
      @datatab  7 месяцев назад

      Welcome! : )

  • @3256990
    @3256990 Год назад

    Hi,can you tell how the value 133 you got should be interpreted in reference to the data .

  • @mychanneltest8623
    @mychanneltest8623 Год назад

    Other than that, really great video! Thanks

  • @sujoysen6720
    @sujoysen6720 Год назад

    Clear

  • @kurdistanhomeschool4471
    @kurdistanhomeschool4471 Год назад

    1000000000 likes and thanks

  • @axel_r_
    @axel_r_ 2 года назад

    You cannot really say that the variance is the standard deviation squared. That implies you can calculate the std to find the variance. This you cannot. Can you?

    • @datatab
      @datatab  Год назад +1

      Hi, yes of course you can say that! It only says that you can calculate the variance from the standard deviation! Let's say you compare different research results. Four reported the results with the variance and one with the standard deviation, then nobody stops you from squaring the standard deviation to calculate the variance so you can compare all 5 results. And this is possible because the variance is the standard deviation squared! You can transform mathematical equations as you like!

  • @OneHypeMarketing
    @OneHypeMarketing Год назад

    it's pronounced hite like kite, not hate.

  • @ambient8691
    @ambient8691 Год назад +1

    Why can’t we calculate the standard divination right away ? By adding the differences in height and mean and just make them all positive and divide by n ?

    • @Allin1Xavi
      @Allin1Xavi 10 месяцев назад

      You’re right. You could just change each individual value where the variation is a negative value without having to square them to get the STD that way but that would be tedious and counterintuitive especially when dealing with much larger sample sizes, especially when we are dealing with sizes in the thousands.
      In the end, squaring all values allows every value to be on the same level of measurement, whether with negative or positive variations, prevents having to do tedious guesswork of figuring out which values fall below the mean and changing those that do that have negative variation to positive.