Standard Deviation vs Standard Error, Clearly Explained!!!

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  • เผยแพร่เมื่อ 14 มิ.ย. 2024
  • People often confuse the standard deviation and the standard error. This StatQuest clears it all up!
    For more information on the standard error, see the StatQuest on The Standard Error:
    • The standard error, Cl...
    And the StatQuest on p-value pitfalls and power calculations:
    • p-hacking and power ca...
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ความคิดเห็น • 470

  • @statquest
    @statquest  2 ปีที่แล้ว +8

    Support StatQuest by buying my book The StatQuest Illustrated Guide to Machine Learning or a Study Guide or Merch!!! statquest.org/statquest-store/

  • @haritchetty
    @haritchetty 4 ปีที่แล้ว +253

    I cannot tell you how many hours I've spent trying to understand this concept. Every video I've watched has been unclear or just to complex for me to visualize and understand. I literally paused at 1:34 and just sat there for a solid minute cause it was that simple. I'm amazed that no one has ever explained it like this to me, including my Stats teacher. Thanks so much for this!

    • @statquest
      @statquest  4 ปีที่แล้ว +13

      Awesome!!! I'm glad the video was helpful! Yes, it really is that simple.

    • @rahulshah26
      @rahulshah26 2 ปีที่แล้ว +8

      That's crazy, I read this comment as I'm paused at 1:34 !

    • @marcosgarcia1424
      @marcosgarcia1424 2 ปีที่แล้ว +2

      @@rahulshah26 Same LOL

  • @richiedexter6302
    @richiedexter6302 5 ปีที่แล้ว +550

    I was looking for one sentence....the sentence that made my day. The standard error is the STANDARD DEVIATION OF THE MEANS😎

    • @user-bz7fj1fk2m
      @user-bz7fj1fk2m 3 ปีที่แล้ว +2

      The standard error vs The standard error of (the) mean. Am I right?

    • @nyetoska
      @nyetoska 3 ปีที่แล้ว +3

      hell yes. I was waiting for this all my life.

    • @zyansheep
      @zyansheep 3 ปีที่แล้ว +5

      *ignores last 3 words*
      "The standard error is the standard deviation"
      NANI?!?

    • @carterreid6151
      @carterreid6151 3 ปีที่แล้ว +9

      Why cant school just say this^^^^^ to explain this like holy its not that hard to dumb it down

    • @joseemiliovalverdedomingue4831
      @joseemiliovalverdedomingue4831 3 ปีที่แล้ว +3

      And he didn't charge $25,000 for it

  • @alecvan7143
    @alecvan7143 4 ปีที่แล้ว +34

    Crazy how simply something that seemed so complicated truly is-thank you Josh!

    • @statquest
      @statquest  4 ปีที่แล้ว

      Thank you! :)

  • @RedBullxMD
    @RedBullxMD 5 ปีที่แล้ว +148

    I work in data science. Took masters level courses from many professors for a lot of $$. These videos are much clearer (and better) IMO

    • @statquest
      @statquest  5 ปีที่แล้ว +4

      Thanks for the endorsement! :)

    • @statquest
      @statquest  5 ปีที่แล้ว +23

      Jason St George I'm glad these videos help fill the gaps in what is taught in classes. I was always pretty slow when I took classes - so I made these videos so that I could make sense of the material - I'm a visual learner, and the stuff I learned in classes was all based on equations, which I had trouble learning and remembering.

    • @TheAlerb
      @TheAlerb 4 ปีที่แล้ว +1

      Agree, I am here cuz im taking a statistic signature in master :P

    • @raygivler
      @raygivler 4 ปีที่แล้ว +1

      I have to piggyback on Mike's comment. I tried Harvard's EdX in data science (which I advise everyone to avoid at all costs), and the explanations were just disparate terms, equations, and R code. I am sticking with Josh. The Harvard/Edx system even marked me as passing one of the 9 sections, but they LOST MY DATA somehow. Even after I sent them screenshots showing the display of my passing in their system, they would not update my account and mark me as passing.

    • @qpellidomombre
      @qpellidomombre 3 ปีที่แล้ว

      You pay for the degree first, then the education

  • @JagoBridgland
    @JagoBridgland 5 ปีที่แล้ว +157

    Fourth video watched from different sources on standard error, this was the one where i paused the video at 1:34 pointed at the screen and said "That makes sense" out loud to myself. Simple explanation is key, thanks a lot

    • @statquest
      @statquest  5 ปีที่แล้ว +13

      Hooray!!!! I'm glad my video was helpful. :)

    • @TheKubbas
      @TheKubbas 5 ปีที่แล้ว +7

      THAT'S EXACTLY WHAT I DID! Paused at 1:35, stared at the screen and went "WHOOAAAAAAAA!!!!"

    • @statquest
      @statquest  5 ปีที่แล้ว +4

      @@TheKubbas That's awesome!!! :)

    • @AnyutaWiazemsky
      @AnyutaWiazemsky 5 ปีที่แล้ว +2

      one more "whoooaaa" here :)

    • @statquest
      @statquest  5 ปีที่แล้ว +1

      @@AnyutaWiazemsky :)

  • @frontroom
    @frontroom ปีที่แล้ว +10

    Why all my profs make this so difficult I will never know... But what I do know is that this video helped me understand it instantly and simply. Thank you so much!

    • @statquest
      @statquest  ปีที่แล้ว

      Hooray! :)

    • @revaldosagala360
      @revaldosagala360 ปีที่แล้ว +1

      @@statquest wow! you still replying after 6 years

  • @ireneylhsiao
    @ireneylhsiao 4 ปีที่แล้ว +5

    I have seen lots of articles and videos explaining Standard Error using complicated terms and I couldn't get it. This is the only that make sense to me. Really clear and simple. Thanks a lot.

    • @statquest
      @statquest  4 ปีที่แล้ว

      Awesome! I'm glad my video was helpful. :)

  • @imonsanyal
    @imonsanyal 3 ปีที่แล้ว +3

    'StatQuickie' is probably the perfect name for this channel. Quick but satisfactory.

  • @earla159
    @earla159 6 ปีที่แล้ว +1

    Fantastic! I've finished a number of videos on SD vs SE and this is the one which made the difference click for me.

  • @saumyamyam
    @saumyamyam 8 หลายเดือนก่อน +3

    This is by far the easiest and the most precise explanation I've come across on standard error of mean. Thankyou so much!

    • @statquest
      @statquest  8 หลายเดือนก่อน

      Glad it helped!

  • @criticalmaz1609
    @criticalmaz1609 4 หลายเดือนก่อน +3

    Thank you! I don't know why my professor couldn't just explain it like that. I have dyscalculia so I need something to visualize in order to understand abstract concepts like this.

    • @statquest
      @statquest  4 หลายเดือนก่อน

      Happy to help!

  • @bkang0322
    @bkang0322 5 ปีที่แล้ว +3

    This is extremely helpful! Thank you!!

  • @pannpat7489
    @pannpat7489 5 ปีที่แล้ว +3

    This is so crystal clear and helpful.
    Many thanks to you!

    • @statquest
      @statquest  5 ปีที่แล้ว

      You're welcome!! I'm glad the video was helpful! :)

  • @SteveKarpali
    @SteveKarpali 6 หลายเดือนก่อน +1

    That really clicked. Things are so much easier to understand when analogies are used instead of just technical words. Thumbs up!

    • @statquest
      @statquest  6 หลายเดือนก่อน

      Glad it was helpful!

  • @salnaud8898
    @salnaud8898 4 ปีที่แล้ว +2

    Your channel is awesome mate. Easy to fallow, Simple clear examples. Effective visualization.
    You are legend.
    Cheers,

    • @statquest
      @statquest  4 ปีที่แล้ว

      Thank you! :)

  • @staceytaranto7092
    @staceytaranto7092 2 หลายเดือนก่อน +2

    Thank you for such a clear and concise explanation. I can tick this confusing concept off my list to clarify and move onto the next one!!

    • @statquest
      @statquest  2 หลายเดือนก่อน

      Bam!

  • @nkt1796
    @nkt1796 7 ปีที่แล้ว

    Your channel is awesome! Thanks Stat Quest!

  • @happybubblemanfan
    @happybubblemanfan 4 ปีที่แล้ว +2

    I know this was posted awhile ago but thank you! This is the explanation I needed.

    • @statquest
      @statquest  4 ปีที่แล้ว

      An oldie but a goodie!

  • @mintr5767
    @mintr5767 2 ปีที่แล้ว +4

    holy crap. I'm an undergrad psych student doing a long distance course so most of my learning is driven by myself, and the statistics have been driving me insane; I just don't understand it at all. this video is SO simple and something I've been struggling with for WEEKS is finally clear. thank you SO much I literally owe you my firstborn

    • @statquest
      @statquest  2 ปีที่แล้ว

      Bam! Glad I could help!

  • @Hollyrocks1975
    @Hollyrocks1975 3 ปีที่แล้ว +1

    Thank you for explaining the difference in such a straightforward way!

  • @norahalmohaizi4635
    @norahalmohaizi4635 4 ปีที่แล้ว +1

    brief and direct to the point! thanks!!

  • @VeluManiSelvaraj
    @VeluManiSelvaraj 7 ปีที่แล้ว

    Thank you for the videos. They have helped in my understanding of statistics.

  • @pedroalmeida6934
    @pedroalmeida6934 ปีที่แล้ว +1

    This video has exactly the information I was looking for! Thanks!

    • @statquest
      @statquest  ปีที่แล้ว +1

      Glad it was helpful!

  • @karthikpillai420
    @karthikpillai420 ปีที่แล้ว +1

    I had spent a few days trying to get a clarification on Std. Deviation vs Std. Error. This is the simplest and best clarification that I ever came across. Thank you so much.

  • @MicheleFortunato
    @MicheleFortunato 4 ปีที่แล้ว +5

    Finally a meaningful explanation! This was enlighting!

    • @statquest
      @statquest  4 ปีที่แล้ว

      Awesome!!! Thank you! :)

  • @jeanhwang18
    @jeanhwang18 2 ปีที่แล้ว +2

    It's so clear to understand those terms. Thanks so much. I'm gonna check out other videos from your channel.

  • @simpliPy
    @simpliPy 3 ปีที่แล้ว +1

    If someone wishes to get gems out of the clutter that TH-cam has in its repository, one should watch all his videos on various topics. Simple, to the point and crisp. Great work! Society owes a lot to such greats.

    • @statquest
      @statquest  3 ปีที่แล้ว

      Thanks for that!

  • @esperanzazagal7241
    @esperanzazagal7241 3 ปีที่แล้ว +1

    Thank you so much! That made a lot of sense. I love how you make it simple and no fuss. Thank you. You rule.

  • @iftrejom
    @iftrejom 3 ปีที่แล้ว +1

    So simple to understand, that is what I needed. Thank you very much.

    • @statquest
      @statquest  3 ปีที่แล้ว

      Glad it helped!

  • @StuffOffYouStuff
    @StuffOffYouStuff 2 หลายเดือนก่อน +1

    Jeez! By far the simplest explanation of what the standard error is! You win! Thank you.

    • @statquest
      @statquest  2 หลายเดือนก่อน

      Thank you!

  • @heySam514
    @heySam514 2 ปีที่แล้ว +1

    What an amazingly crisp explanation! Thank you so much.

    • @statquest
      @statquest  2 ปีที่แล้ว

      Glad it was helpful!

  • @katrinajohnson2841
    @katrinajohnson2841 5 ปีที่แล้ว +2

    Thank you for this extremely helpful, and concise, explanation!

    • @statquest
      @statquest  5 ปีที่แล้ว

      You're welcome! :)

  • @xristina4eve
    @xristina4eve 5 ปีที่แล้ว +1

    Thank you very much! This is how everything should be explained

  • @MohammedNoureldin
    @MohammedNoureldin 4 ปีที่แล้ว +2

    I watched 10 minutes video which made me totally confused about this topic, and with you, I understood it perfectly in 2 minutes! You are awesome!

  • @flavimir15
    @flavimir15 5 ปีที่แล้ว +2

    Thank you so much for this video! It's been very helpful !!

  • @avivakathleenanzak5317
    @avivakathleenanzak5317 ปีที่แล้ว +1

    I've already recommended this video to my classmates. thanks for providing this!!

    • @statquest
      @statquest  ปีที่แล้ว

      Thanks for sharing!

  • @peerlesscucumber1896
    @peerlesscucumber1896 2 หลายเดือนก่อน +1

    Thank u so much I’m literally struggling with understanding them for my Psm exam but thanks to u I learned it !!! Thank uuuu

    • @statquest
      @statquest  2 หลายเดือนก่อน

      Good luck!

  • @KathrynOBrien-lv7ss
    @KathrynOBrien-lv7ss 8 หลายเดือนก่อน +1

    when I was taking notes on this in class it made so much sense, and as I went back to study my notes and saw "standard deviation of the means of the means" I literally could not figure out what that meant, so I am very grateful for this video and the visual representation.

    • @statquest
      @statquest  8 หลายเดือนก่อน

      Hooray! Happy to help!

  • @meganmyers8730
    @meganmyers8730 5 ปีที่แล้ว +1

    Thank you so much Josh - finally an example I can understand.

    • @statquest
      @statquest  5 ปีที่แล้ว

      You're welcome!! I'm glad the video was helpful. :)

  • @early.autumn.summer
    @early.autumn.summer 6 หลายเดือนก่อน +1

    I literally could have skipped my stats lectures and watched this video instead- super helpful thank you!!

    • @statquest
      @statquest  6 หลายเดือนก่อน

      Glad it helped!

  • @Chewy921
    @Chewy921 2 ปีที่แล้ว +1

    Thank you so much for your lucid and elegant discussion. You're a Lord of Statistics.

    • @statquest
      @statquest  2 ปีที่แล้ว

      Wow, thank you!

  • @AhsanIftikharQureshi
    @AhsanIftikharQureshi 3 ปีที่แล้ว +1

    Very simple and clear explanation. Thanks for the great video.

  • @33.thariqkemalhassan59
    @33.thariqkemalhassan59 7 หลายเดือนก่อน +1

    Thank you so much! My lecturer explain this like in 2 weeks but i can’t understand. Just by watching this video i constantly understand. Thanks!❤

    • @statquest
      @statquest  7 หลายเดือนก่อน

      Glad it helped!

  • @clairefontaa587
    @clairefontaa587 4 ปีที่แล้ว +7

    Thank you so much for making everything much clearer! I hope you will keep making videos in the future!

    • @statquest
      @statquest  4 ปีที่แล้ว +1

      I love making these videos, so I will make as many as I can.

  • @TChau-ki7sc
    @TChau-ki7sc 6 ปีที่แล้ว

    Thanks for explaining it simply! :)

  • @nathanhung9057
    @nathanhung9057 4 ปีที่แล้ว +1

    Great video, finally understood it. Thank you

  • @michellechen5253
    @michellechen5253 2 ปีที่แล้ว +2

    omg this video brightened my day!!!! Thank you so muchhhh!

    • @statquest
      @statquest  2 ปีที่แล้ว

      I'm so glad!

  • @flagshipbuilds
    @flagshipbuilds 5 ปีที่แล้ว +5

    Thank you for the clear and simple explanation, as I am visual learner. I re-phrased it to my understanding/textbook. Please clarify/advise: Standard deviation quantifies how much a data entry deviates from the mean, within a data set.
    Standard error quantifies the deviation of multiple means from the true mean, from multiple data sets.

    • @statquest
      @statquest  5 ปีที่แล้ว +3

      That is correct! You've got it! :)

    • @flagshipbuilds
      @flagshipbuilds 5 ปีที่แล้ว +2

      @@statquest Thank you for your help!

  • @TheYellowshuttle
    @TheYellowshuttle 4 ปีที่แล้ว +4

    Beautifully explained!

  • @keelycanniff4147
    @keelycanniff4147 2 ปีที่แล้ว +1

    very helpful! thank you for the nice graphic and slow explanation.

  • @johnbarryyallagher1128
    @johnbarryyallagher1128 ปีที่แล้ว +1

    This is the clearest explanation I heard on this difference and a revelation

  • @louisewatts1269
    @louisewatts1269 7 หลายเดือนก่อน +1

    This video is so helpful!! I'm definitely subscribing for more tips. Thank you!

    • @statquest
      @statquest  7 หลายเดือนก่อน

      Thank you!

  • @r.y.z.
    @r.y.z. 7 หลายเดือนก่อน +1

    Excellent. Simple and well explained. 👍

    • @statquest
      @statquest  7 หลายเดือนก่อน

      Glad it was helpful!

  • @TonyFraser
    @TonyFraser ปีที่แล้ว +1

    Brilliant video! Thanks Josh!

    • @statquest
      @statquest  ปีที่แล้ว

      Glad you liked it!

  • @multitaskprueba1
    @multitaskprueba1 3 ปีที่แล้ว +1

    Fantastic video! Thank you so much!

  • @rawan2675
    @rawan2675 4 ปีที่แล้ว +2

    Finally I got it !!!
    Thank you SO MUCH

    • @statquest
      @statquest  4 ปีที่แล้ว

      Hooray! That's awesome. :)

  • @bibekdhungana1911
    @bibekdhungana1911 3 ปีที่แล้ว +1

    I finally found the perfect explanation. Thank you so much.

    • @statquest
      @statquest  3 ปีที่แล้ว

      Great to hear!

  • @eggybakey
    @eggybakey 2 ปีที่แล้ว +1

    thank you.... you have saved my life........ mr statquest!!

    • @statquest
      @statquest  2 ปีที่แล้ว

      Happy to help!

  • @daiskideyobros57
    @daiskideyobros57 4 ปีที่แล้ว +1

    thank you!! this was so much more easier to understand

  • @filosofiacientifica
    @filosofiacientifica 3 ปีที่แล้ว +1

    Thank you so much indeed. Amazing explanation and helped me a lot !! cheers

  • @beverlysimple411
    @beverlysimple411 3 ปีที่แล้ว +1

    Thanks a lot. This clears things up nicely.

    • @statquest
      @statquest  3 ปีที่แล้ว

      Glad it was helpful!

  • @russ.greiner
    @russ.greiner 2 ปีที่แล้ว +1

    Wonderful summary!

  • @whatisthishandlegarbage
    @whatisthishandlegarbage 4 ปีที่แล้ว +1

    brilliant work. at 1:35ish i already got it. ur the best.

  • @doctorhannah_
    @doctorhannah_ 3 ปีที่แล้ว +1

    So clear! Thank you.

  • @brunoraviolo
    @brunoraviolo 4 ปีที่แล้ว +1

    Thanks for all those excellent videos, and cheer up!

  • @yaluntan3643
    @yaluntan3643 4 ปีที่แล้ว

    Very clear and helpful, thanks so much! :)

    • @statquest
      @statquest  4 ปีที่แล้ว

      Glad it was helpful!

  • @Semyazi
    @Semyazi ปีที่แล้ว +2

    This video changed my life.

  • @ORA268P
    @ORA268P 3 ปีที่แล้ว +1

    So well explained! Thank you

  • @davidzhang6076
    @davidzhang6076 ปีที่แล้ว +1

    Extremely helpful! Can't appreciate enough👍❤

    • @statquest
      @statquest  ปีที่แล้ว

      Glad it helped!

  • @AnDrEa_iTz
    @AnDrEa_iTz 3 ปีที่แล้ว +3

    I can't find the words to thank you. In 3 minutes you were able to solve all my doubts on a topic (in my opinion convoluted) like this, in an extremely simple way, after hours and hours spent in confusion ... YOU ARE SIMPLY AMAZING!!!! THANK YOU

  • @shadrinan90
    @shadrinan90 4 หลายเดือนก่อน +1

    Great ans simple explanation, thanks!

    • @statquest
      @statquest  4 หลายเดือนก่อน

      Glad it was helpful!

  • @ArshdeepSandhuMIT
    @ArshdeepSandhuMIT 2 ปีที่แล้ว +1

    Thank you very much Josh Starmer

    • @statquest
      @statquest  2 ปีที่แล้ว

      You are very welcome!

  • @tinglingwei1056
    @tinglingwei1056 2 หลายเดือนก่อน +1

    You are the GOAT of stats!

    • @statquest
      @statquest  2 หลายเดือนก่อน

      Thanks!

  • @user-saint
    @user-saint ปีที่แล้ว +1

    Thanks you sir, you explained very clear.

  • @denis669
    @denis669 5 ปีที่แล้ว +11

    If you read this, then you probably also have a Stat exam in a few days. Other than that, great video. Short and simple.

    • @rebekahshtayfman1967
      @rebekahshtayfman1967 4 ปีที่แล้ว +1

      Or a lab heavily dependent on data analysis 😣

    • @anastasiagolubova1557
      @anastasiagolubova1557 2 ปีที่แล้ว

      Nope, I am watching just for fun and interest, you are wrong

  • @subhashinisivagobi9995
    @subhashinisivagobi9995 5 ปีที่แล้ว +2

    Thank you. This helped a lot

    • @statquest
      @statquest  5 ปีที่แล้ว +1

      Hooray! :)

  • @yukithejapanese
    @yukithejapanese 4 ปีที่แล้ว

    Your videos are awesome! I'd like to see your video on the difference between confidence interval and prediction interval.

    • @statquest
      @statquest  4 ปีที่แล้ว

      One day I'll do it.

  • @shanzhengyang9834
    @shanzhengyang9834 ปีที่แล้ว +1

    well explained, thank you!

  • @vickyselbyfail547
    @vickyselbyfail547 2 ปีที่แล้ว +1

    Thank you soooo much, brilliantly explained

    • @statquest
      @statquest  2 ปีที่แล้ว

      Glad it was helpful!

  • @muzammilmumtaz4043
    @muzammilmumtaz4043 4 ปีที่แล้ว +1

    The best explanation on this topic.

    • @statquest
      @statquest  4 ปีที่แล้ว +1

      Thanks! :)

  • @tushihahahi
    @tushihahahi 5 ปีที่แล้ว +1

    fantastic Explanation.

  • @DocFAT1
    @DocFAT1 ปีที่แล้ว +1

    But how, just how could you make it so simple. You sir are a blessing.

  • @yantivermeulen2744
    @yantivermeulen2744 4 ปีที่แล้ว +1

    Thank you Josh! It's very clear now :)

  • @VivaldiHeroes
    @VivaldiHeroes 4 ปีที่แล้ว +1

    genius series title `StatQuickie`, and probably the clearest explanation

    • @statquest
      @statquest  4 ปีที่แล้ว

      Thank you! :)

  • @TheMuseOnline
    @TheMuseOnline 4 ปีที่แล้ว

    very helpful! thanks!

  • @andrewyan7217
    @andrewyan7217 4 ปีที่แล้ว +2

    Thank you for these awesome videos. Subscribed your channel to show support! Hope you make more educational videos and get more subscribers.

    • @statquest
      @statquest  4 ปีที่แล้ว

      Thank you very much for your support! It really means a lot to me.

  • @esmecm7804
    @esmecm7804 4 ปีที่แล้ว +1

    Thanks thanks thanks for this video !!!

  • @entedaralsaadi21
    @entedaralsaadi21 5 ปีที่แล้ว

    VERY HELPFUL THANK YOU

  • @alirezasadeghifar3815
    @alirezasadeghifar3815 4 ปีที่แล้ว +2

    what a beautiful explanation!

    • @statquest
      @statquest  4 ปีที่แล้ว +1

      Thank you! :)

  • @jtst8045
    @jtst8045 4 ปีที่แล้ว +1

    Fantastic video thank you!!

    • @statquest
      @statquest  4 ปีที่แล้ว

      Glad you liked it!

  • @binitbajracharya8230
    @binitbajracharya8230 2 ปีที่แล้ว +1

    yes this is the explanation i needed...the concept...the core of what it is and its importance.... all other people trying to fill up the formula and explaining without giving any logic....goddamn i know the formula 🤦 this is the best explanation in less than 3 mins.... thank you sir

  • @milrione8425
    @milrione8425 4 ปีที่แล้ว +4

    Thank you so much...looked up different sources and this was the one!!! found the holy grail

  • @stringssetc
    @stringssetc 11 หลายเดือนก่อน +1

    Indeed a lifesaver video!

    • @statquest
      @statquest  11 หลายเดือนก่อน

      Thanks!

  • @dickclements
    @dickclements 4 ปีที่แล้ว +1

    Great explanation - thanks

  • @Joepochicken1
    @Joepochicken1 5 ปีที่แล้ว +2

    great vid keep it up my dude

    • @statquest
      @statquest  5 ปีที่แล้ว

      Thank you! :)

  • @mahxylim7983
    @mahxylim7983 2 หลายเดือนก่อน +1

    You are the best! thankyou!

    • @statquest
      @statquest  2 หลายเดือนก่อน

      Thanks!

  • @infidel900rr
    @infidel900rr 4 ปีที่แล้ว +1

    Very well stated. thank you.

    • @statquest
      @statquest  4 ปีที่แล้ว

      Thank you! :)

  • @ben94_
    @ben94_ 4 หลายเดือนก่อน +1

    thank you that cleared it up

    • @statquest
      @statquest  4 หลายเดือนก่อน

      Thanks!

  • @seymourlim8420
    @seymourlim8420 2 ปีที่แล้ว +1

    Thank you very much. 😊

    • @statquest
      @statquest  2 ปีที่แล้ว

      You're welcome 😊!