Statistics 101: What is Standard Deviation?

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  • Опубликовано: 9 сен 2024

Комментарии • 88

  • @BrandonFoltz
    @BrandonFoltz  3 года назад +12

    For PL3, I have placed the z-score video *FIRST* because knowing what a z-score is conceptually does not require knowing how to calculate nor need the formula for standard deviation. The entire point is that it is just an _arbitrary unit of measure_ like a ruler. You can make your own playlists from individual videos if you prefer something in a different order. Thanks!

  • @ahmcontrol
    @ahmcontrol 4 года назад +19

    Hi. I suggest to make this as first lecture instead of zscore. Thank

  • @chrisosomo2856
    @chrisosomo2856 6 месяцев назад +1

    These are the most value educational contents on RUclips. I took statistics in university, but your explanations and examples are second to none. I don't know if you still make education content and if you do, please keep them coming. Thank you so much and God bless.

  • @PaigeKKelly
    @PaigeKKelly 8 месяцев назад

    I appreciate you so much. Not only the way you start of your videos but bringing down the walls and defenses when struggling but also the information you present, and extra mile you go. Thank you!

  • @linklight889
    @linklight889 9 лет назад +1

    I cannot tell you how much your videos are helpful. You should be paid.

  • @fouziasubhani9138
    @fouziasubhani9138 3 года назад

    I spent whole year in Statistic class but couldn't understand why and how we use Standard deviation but in few mins, you explain in wonderful way. I can't forget in rest of my life.

  • @The_Bri_Cli
    @The_Bri_Cli 5 лет назад +10

    Great videos. Very informative. I recommend these videos to anyone trying to get started with data and data science

  • @hassanrazabhatti6392
    @hassanrazabhatti6392 4 года назад +3

    teaching from the core of his heart, beautiful and simple illustrations, Thank you very much SIR

  • @ahmadadeel3030
    @ahmadadeel3030 9 лет назад +31

    please arrange your videos in playlist so that viewers may get proper sequence of all videos sorted according to subjects.

    • @BrandonFoltz
      @BrandonFoltz  9 лет назад +4

      Hi Ahmad! Actually they are organized into playlists. You can find them here: ruclips.net/user/bcfoltzplaylists

    • @brinepacer
      @brinepacer 5 лет назад +3

      @@BrandonFoltz The playlists are still out of order. PL3 starts with Z-scores, then has three videos on standard deviation, but the z-score video assumes you've already watched the standard deviation video and understand what they are and how to calculate them. Had to give up on it half way through.

    • @vulnerablerummy
      @vulnerablerummy 5 лет назад +12

      @@BrandonFoltz i see the z-score one is still positioned at #1, can you please rearrange for others?
      also, your vids are absolutely helpful for layman like me, thanks for your hardwork.

    • @sanderwilhelmus7024
      @sanderwilhelmus7024 3 года назад

      @@BrandonFoltz After 6 years still the same.

  • @BeatriceDosu
    @BeatriceDosu 2 месяца назад

    Your video/explanations made it really to understand the above topic. Thank you!

  • @mcbatiste1123
    @mcbatiste1123 4 года назад +1

    I really thought I would fail my Stats class...until I found you & your videos. Thank you so much!

  • @AngelEsparza-qr1vm
    @AngelEsparza-qr1vm 2 года назад

    Hola, Brandon.
    Aunque no domino totalmente el inglés, tus videos son muy sencillos de entender y no sabes lo mucho que me han ayudado en mis estudios. Solo quisiera agradecerte el gran esfuerzo que has hecho con todas tus playlists de estadística.

  • @rickk3487
    @rickk3487 4 года назад +1

    Good video. Easy to understand w/ clear demonstrations.

  • @Ender5529
    @Ender5529 11 лет назад

    Sir, I should leave a thank you at all your videos, but I don't want to spam you.
    YOU ARE AWESOME! I got a textbook teacher that believes its the books duty to get info across. Our class is something like "Go home read pages x-x if you have any questions mail me, test on Tuesday." .... needless to say I found you! and your videos are AMAZING!!!! :) THANKS SOOOOO MUCH!!! :D

  • @Esnibiru
    @Esnibiru 11 лет назад +1

    Hi Brandon. First of all thank you for making these videos on statistics. It is nicely done. What I would like to point out is that there are still some points unclear. I mean you should make a video on variance maximul likelihood estimation to make clear why the (m - x) is divided by (n-1) instead of "n". Since you are trying to make things clear I consider this to be significant imperfection. If you have already done so excuse me. Thanks, Mario from Czech Republic

  • @nicholaspesek5902
    @nicholaspesek5902 3 года назад

    I like they way he made the math more visual. It made it much easier to understand.

  • @myliserta
    @myliserta 5 лет назад +13

    Hi Brandon, I highly appreciate your videos but there is a small error in this one. The greek letter sigma should be used only for the standard deviation of the population and not for the sample. In this case the small letter "s" should be employed.

    • @tatiana1310
      @tatiana1310 3 года назад

      Exactly what I was thinking! Thank you for saying this. :)

  • @KPAVideoful
    @KPAVideoful 11 лет назад

    Hi Brandon. Amazing videos! You have all what is needed - what, why, how and when. You make the options connected - simply put the complicated formula connected with the simple way of calculation using table. Great job! You explain very clearly and thoroughly. I love it. I have shared with many of my friends. Again thank you so much for making these available.

  • @BrandonFoltz
    @BrandonFoltz  11 лет назад

    Hello! Oh thanks so much. :) Everyone has their own teaching and learning style so I am glad you found that what I do matched your learning style. Hang in there and keep on learning; never stop. :D All the best! - B

  • @djenansoumahoro5797
    @djenansoumahoro5797 4 года назад

    clear explanation of standard deviation. easy to understand

  • @robertcook8621
    @robertcook8621 8 лет назад +2

    I wish I had saw your vids before I dropped stats! Guess I'll try again with you as my real teacher and the community college hack that just grades the tests.

  • @johnsciortino7217
    @johnsciortino7217 3 года назад

    Very interesting video. Looks like I have more to learn...

  • @BrandonFoltz
    @BrandonFoltz  11 лет назад

    Hi Mario! Thank you for your comment. My goal has always been to introduce introductory statistics topics in a way that helps students grasp basic fundamental concepts without turning them off to stats. I also try to stick with the topics in an Intro Stats class (at least here in the States) would cover. The MLE, while a valuable topic, is beyond the horizon of what I set out to do in my videos for my intended audience...at least at this time. :) I may come back to it. All the very best! - B

  • @jasonholesha3148
    @jasonholesha3148 4 года назад

    Very helpful video and explanation for Standard Deviation. Makes sense!

  • @maxinegomez5306
    @maxinegomez5306 4 года назад

    Neat! Never thought I would understand Variance and Standard Deviation!

  • @user-wj4vt1ff8s
    @user-wj4vt1ff8s 3 года назад

    i believe, this playlist need to reordered. others your channel is great. Thanks

  • @tylerdawson8594
    @tylerdawson8594 4 года назад

    Very thorough explanations!

  • @jamesmilward4916
    @jamesmilward4916 5 лет назад

    Your videos are great. Extremely well articulated and concise, thank you

  • @mayrarojas251
    @mayrarojas251 4 года назад

    Mean not average. Good class examples used to describe variance and standard deviation.

  • @dancingbella23
    @dancingbella23 2 года назад

    donated! because you teach better than my prof!

  • @siuyaulee9207
    @siuyaulee9207 11 лет назад +1

    Agree with Mario, the video would be more helpful if you could explain why it is "n-1" but not "n".

  • @ritiksharma2127
    @ritiksharma2127 3 месяца назад +1

    can anyone tell why we have used population standard deviation in sample standard deviation formula?

  • @kimfloyd4903
    @kimfloyd4903 11 лет назад +1

    Didn't you transpose the numbers when calculating % of Class "B"? Final answer in the light pink area should be 5.58%, not 5.85%. I'm finding your videos very helpful, since I am currently flunking STAT200 on line. Thanks for all your work!

  • @panagiotisgoulas8539
    @panagiotisgoulas8539 2 года назад +1

    If the classes represented population we should have used μ and calculate our standard deviation σ with n population size.
    If the classes represented sample then we should have used x_bar and calculate s with n-1 sample size. You said yourself you use sample variation so s^2 it is then.

  • @heatherclaxton3438
    @heatherclaxton3438 5 лет назад +3

    The coefficient of Variation, is that similar to a z score?

  • @shriramkrishnan8709
    @shriramkrishnan8709 8 лет назад +1

    HI Brandon.
    Liked your video on Chi-square, after struggling to understand from various sources your video was the most comprehensive and clear explanation . Thanks. I am into basic data analysis and want to relate using statistic
    Since i want to start using statistics is it possible give an order in which one should go about carrying out statistical analysis as in which test to use under what circumstances etc.
    Meanwhile let me watch some more of your video's

  • @gloryasam1
    @gloryasam1 10 лет назад

    Great video .. this is such helpful lectures. Thank you very much for doing that

  • @mukeshkumar-mx1lt
    @mukeshkumar-mx1lt 6 лет назад

    thank you so much like this simple explantion

  • @jmm2847
    @jmm2847 4 года назад

    Hi Brandon, great videos thank you 😊 , can't find the file on your page. tried to download it through the provided link.

  • @mmaphefoseseni6625
    @mmaphefoseseni6625 3 года назад

    Very informative

  • @csjgh
    @csjgh 11 лет назад

    Brandon - these videos are excellent and exactly the refresher course I need. Where should I start in playlist 3. If I was to hit the "play all" button in You tube, I would start with Z-scores (which refers to a previous video about standard deviations followed by SD and NFL field goals 3/3, followed by SD and NFL field goals 2/3, etc. Are they in the wrong order ?
    But thanks again....

  • @dominiquebarrette9621
    @dominiquebarrette9621 4 года назад

    Hello Brandon , love your video but it would make it easier of you would put the playlist # and video # under the Title- Many thanks

  • @gauravagrawal1192
    @gauravagrawal1192 3 года назад

    Hello Brandon
    First of all, your videos are really great. I have started to watch the full series and now on video 7 of the whole playlist. Just to highlight one issue here please. When I click on block post and excel file as given in the details above, it gives "page not found". Can you please fix this.
    Thank You
    Gaurav

  • @ahmedshaarawy7716
    @ahmedshaarawy7716 3 года назад

    I have a question
    why in case of population on calculating the standard deviation we divide by n(number of data sets) but in case of sample we only divide by (n-1)

  • @eong4513
    @eong4513 4 года назад

    Hi Brandon thank you for creating these videos! They have been very useful revision material:) Tried to download the link for the excel file but it's broken could you upload it again?

  • @leedw90703
    @leedw90703 3 года назад

    what's the difference between this regular variance and discrete random variable variance if they are both discrete like this case here and which one to use? thanks

  • @krupakshah
    @krupakshah 5 лет назад

    Hi Brandon, here you've used n -1 while calculating SD & Variance. But in the simple liner regression videos, you've used n. (5th video in SLR to be specific)

    • @shivaanshagarwal
      @shivaanshagarwal 5 лет назад

      Basically for calculating Sample Standard Deviation we use n-1 and for Population Standard Deviation we use n. So the logic behind that is since the sum of deviations (Not Standard Deviations) i.e. x-xBar is 0. Therefore if we know the Sum of first n-1 deviations last deviation can be easily found. So when to use what ? => If we know the true mean i.e. the mean of the population we use n AND if we don't know what the true mean we calculate sample mean and use n-1 for computing Standard Deviation.

  • @WarooatDK
    @WarooatDK 6 лет назад

    Hi Sir. Appreciate the effort and your dedication. Which tool do you use for making the arrows and recording your sessions? It looks like a manual pen?

  • @kulwantrai9067
    @kulwantrai9067 4 года назад

    Thnks love from india

  • @madhvisingh7805
    @madhvisingh7805 9 лет назад

    Thanks for the help!!

  • @rotcivd7827
    @rotcivd7827 8 лет назад

    Great Videos!

  • @jingchakvk
    @jingchakvk 8 лет назад

    Hello Brandon!! Highly informative video. I just have a quick question. When u calculate the standard deviation to be, say, 7.9. what do u infer from it?? Does it mean that the data points are spread across +/- 7.9 from the mean (which is not the case here) or is the SD just a number that gives you an idea of the extent of the spread ? Many thanks !!

  • @shamy673
    @shamy673 3 года назад +1

    I"m not sure if you read this or not but i"ve a question regarding the formula of SD and Variance which doesn't have n-1 then only have n. so what is the difference between them and this and which is more accurate

    • @BrandonFoltz
      @BrandonFoltz  3 года назад +1

      Hi! The difference is between sample variance ( _n-1_ ) and population variance ( _n_ ). Without getting into the weeds, we correct for the fact we are only using sample data from a population by taking away a degree of freedom. However, as you may notice, as n becomes large the difference is negligible. Say if _n_ = 10, then _n-1_ = 9 (10 vs 9). But if _n_ =100, then _n-1_ = 99 (100 vs 99). But technically, if using sample data for the VAR or SD then _n-1_ should be used.

    • @shamy673
      @shamy673 3 года назад

      @@BrandonFoltz Thank You so much! and i really love your videos currenlty i"m doing masters in Data Science in Germany and
      your videos are great help for the exams.

  • @jamesadam710
    @jamesadam710 8 лет назад

    Hi Brandon, I have a question about standard deviation in a skewed distribution. Your example of test scores defines them as being out of a total possible score of 100, with a mean score of 85 and a SD of 7.9. That would mean that two SDs above the mean would be 100.8/100 which is not possible. How does one rationalise that with real-world data? I actually have a problem similar to this with my own data and I would be grateful for your help!
    Many thanks.

  • @kirtiarora3646
    @kirtiarora3646 5 лет назад +1

    Hi Brandon, the link to the excel file , leads me to a blank page and it says" nothing here" could you pls share the path where I can find the excel file ?

  • @rohitkrishnamoorthy334
    @rohitkrishnamoorthy334 3 года назад

    Why divide by n-1, in calculating standard deviation should it not be n

  • @user-lt3pj6gc2w
    @user-lt3pj6gc2w 9 лет назад +1

    What is the difference between (standard variation and the population variation) I'm confused with the ( S and Sigma ) symbols and thank you so much.

    • @jackychang2320
      @jackychang2320 7 лет назад

      Pls refer to the video in playlist 1. Sigma is the standard deviation in population, while S is the standard deviation in samples.

  • @aquiro
    @aquiro 8 лет назад

    I want to know how to sum or subtract means and calculate the new standard deviation and variance taking into account the previous ones. can that be done? do you have a video?

  • @adrianmarin3967
    @adrianmarin3967 4 года назад

    I'm having a hard time finding the excel for the NFL example, can you advise where it is?

  • @NitinBorseGeo
    @NitinBorseGeo 6 лет назад

    4.19 sec. in the clip.... both example are same. its by mistake but plz correct it.

  • @danielriano2238
    @danielriano2238 6 лет назад

    Great, great videos, Brandon. Thanks.
    I think you should make clear the order for the videos to be seen. IMHO, videos now numbered 1, 2, 3, 4 should be watched 4, 1, 2,3
    In video #2 "Statistics 101 Standard Deviation and NFL Field Goals - Part 13.mp4" 11'45'' you make 0 squared to 0 = 0; but 0 squared to 0 = 1, isn't it?

    • @danielriano2238
      @danielriano2238 6 лет назад

      Sorry, I meant 2,,3,4,1. That's the order to watch the videos so that every concept comes after the previous one has been clearly explained. Anyway, a great course indeed

  • @rajanvk939
    @rajanvk939 2 года назад

    Dear Professor, I didn’t understand why there is n-1 in the formula of SD i saw in books it was written N . I want to know what is the difference.?

    • @BrandonFoltz
      @BrandonFoltz  2 года назад +1

      Hello! For sample data, N is a biased estimator. Therefore n-1 is used for the unbiased estimator. There are theoretical and mathematical reasons for that, but what it comes down to are biased vs unbiased estimators for small sample sizes. Of course as n increases, n-1 basically becomes N, which is why after a point, a larger sample converges to N.

    • @rajanvk939
      @rajanvk939 2 года назад

      Professor @@BrandonFoltz , Thank you so much for your wonderful esxplanation. It really made me clear.

  • @manishai5309
    @manishai5309 7 лет назад

    Hi.. where can I find Excel used in this tutorial?
    Manisha

  • @vasimpunasiya9910
    @vasimpunasiya9910 3 года назад

    Love from India could you Please check File is not Available getting Error 404

  • @rahulsripuram8174
    @rahulsripuram8174 7 лет назад

    please come up with new videos

  • @daugavpils2000
    @daugavpils2000 8 лет назад

    Hi Brandon, the link to Excel is dead

  • @Fr0zenFireV
    @Fr0zenFireV 8 лет назад

    The link is not working.

  • @sergeymarkov7098
    @sergeymarkov7098 9 лет назад +1

    all videos are mixed up! no begining, no end

    • @ElderLT
      @ElderLT 9 лет назад

      Agreed. For example Statistics PL03. We already can see that Standard deviation in the list starts from 3/3 to 1/3. That raises a question - is the list backwards?
      On whole other matter, these are great! Do please continue.
      I would love to see you explain ARIMA model, because i can't put my head around that one.

    • @BrandonFoltz
      @BrandonFoltz  9 лет назад

      Tomas Romas Sergey Markov Thank you both for your comments. I did check and you both correct about the order being messed up. Not sure how that happened since I add them as I do them. It is fixed now though. Thanks!
      ruclips.net/p/PLIeGtxpvyG-JMH5fGDWhtniyET88Mexcw

    • @brinepacer
      @brinepacer 5 лет назад

      @@BrandonFoltz Is z-score the first or last video in this sequence? It's showing as the first.

  • @jameshoward4969
    @jameshoward4969 2 года назад

    What's to say. SD rules.

  • @elbutler1972
    @elbutler1972 4 года назад

    The link to the excel file seems to be dead. I get a 404 error page when I click on the link.

    • @elbutler1972
      @elbutler1972 4 года назад

      Oh, and thank you so much. These videos are outstanding! I am taking a graduate-level statistics class, and this material is so much better than the material my university is providing.