How to Calculate Standard Deviation

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  • Опубліковано 29 вер 2024

КОМЕНТАРІ • 413

  • @Simonebethename
    @Simonebethename 4 роки тому +138

    Dude bless your soul..I literally cried for like 30 minutes because this stats class seems so hard and its the one class left to get my degree...I watched this video and did a practice problem and got it right...by the way, this is my third try at this stats class and until now have I felt any type of understanding...I wish you could train teachers and professors on how to teach math... Bless you!

    • @mumiscrunk
      @mumiscrunk  4 роки тому +11

      Thank you for such a kind comment. Best of luck with your stats class!

    • @andrewtrow1
      @andrewtrow1 Рік тому +1

      @@mumiscrunk please do more , I'm a visual learner and abysmal at basic math . There's no help at all for people like me because visualisations aren't that common , it's usually just someone trying to explain it mathematically and to me that's just as hard 😭. Thanks so much for this and the previous video explaining what s.d is

    • @tahneeeaton9963
      @tahneeeaton9963 2 місяці тому

      Simone, I felt this in my soul. Liberal Arts math is killing me.

  • @aprilmueller6518
    @aprilmueller6518 5 років тому +547

    I can't believe that I just learned and understood how to calculate standard deviation in under 5 minutes. 1 professor, 2 TAs, and 3 math tutors could not do it over a 3 week period. I wish you happiness, health, and prosperity forever.
    Thank you.

    • @mavericktheace
      @mavericktheace 5 років тому +17

      I know, right?! The ability to teach is not a common one :(

    • @iam_buch_a
      @iam_buch_a 4 роки тому +2

      you can say that again!!!

    • @caglarbulgay2751
      @caglarbulgay2751 4 роки тому +4

      I mean, that is what caused you to come over here and learn it by youself right? Your tutors achieved the goal of making you do what they wanted you to do.

    • @stupidcanvas
      @stupidcanvas 3 роки тому

      lol

    • @MrSmellySmell
      @MrSmellySmell 3 роки тому

      Even under 4 minutes! But yes this is an excellent instructional video

  • @nadiaclayton429
    @nadiaclayton429 7 років тому +64

    OMG Thank you, I have been agonising over this for ages!!!!!!It has finally clicked.

  • @debbiej8231
    @debbiej8231 5 років тому +3

    My only option was to take stats as an online class at my school. This literally explained in less than 5 minutes what I've been trying to learn in the last half hour! Thank you so much for the simplification and visual explanations!

  • @thearchersb
    @thearchersb 2 роки тому

    This is the best and simplest explanation of standard deviation in the whole universe.

  • @everydaynoob1
    @everydaynoob1 3 роки тому +2

    I missed this part in class when I went to the restroom and didn't want to ask because I'm dum so I am very thankful for this you saved me

  • @jenthenomad
    @jenthenomad 3 роки тому

    This was so helpful! I've been trying to learn this concept for days now... The animation and the speed of your explanation makes it click.

  • @yurhe6380
    @yurhe6380 6 років тому

    This was way more helpful than Khan Academy's explanation! The tip to make a chart was super helpful.

  • @amirskip4life
    @amirskip4life 5 років тому

    Thanks for your easy and understandable teaching with nice graphics. An appreciated job.

  • @conorcreavin8501
    @conorcreavin8501 8 років тому +9

    Very well set out and easy to understand. keep up the good work. :)

  • @hustlehealththenwealth9966
    @hustlehealththenwealth9966 5 років тому +1

    ♨️So clear and concise you’ve made everything so easily digestible for my mind, Thank you.🌺

  • @elliej4161
    @elliej4161 7 років тому +1

    My teacher has been teaching us this for a few days and tomorrow I have a quiz on it. I think I'll do good now

  • @daltonwardell7810
    @daltonwardell7810 4 роки тому

    Wow that was put so clearly, way more than my text book or professor!! Thank you Jeremy Jones

  • @marianarodriguez-gn5kh
    @marianarodriguez-gn5kh 4 роки тому +1

    Omg this class is gonna kick my @$$!! This videos are so helpful..i just stared yesterday and am already confused ..not a math person at all

  • @myforever13
    @myforever13 4 роки тому

    my stats professor makes i tlook so complicated by using the weird formula, but you made it simple thank you!

  • @CasualGamer-Gold
    @CasualGamer-Gold 6 років тому

    I'm sitting my year 10 statistics and my gosh does this help
    Thanks, you have my praise👍

  • @DodgerLakerTrojanMan
    @DodgerLakerTrojanMan 7 років тому +2

    This was great help to me! Thank you very much. Nice, clean, clear video. Explained and shown very well! Good job :0)

  • @betaow66
    @betaow66 7 років тому

    this video has been so helpful for understanding the basic fundamentals of statistics. thanx so much for posting it :D

  • @ryandanton7778
    @ryandanton7778 6 років тому

    thank you so much! a far better explanation than my text book.

  • @mkmunazza7364
    @mkmunazza7364 5 років тому +1

    Thank you Sir ....this video is really informative and clear all concept about standard deviation.

  • @livviepie22
    @livviepie22 7 років тому

    I feel like I should be paying tuition to YT! Thanks so very much!!!!!

  • @mohamadnajm1465
    @mohamadnajm1465 2 роки тому

    Thank u. Thank u it was really informative and concise.
    Please keep it up with other stats topics

  • @amypham2693
    @amypham2693 7 років тому +5

    Love the pandas! Thanks for the video helped me a lot!

  • @ramdhar0099
    @ramdhar0099 7 років тому

    very helpful and intuitive ...thank you

  • @azharhussain4717
    @azharhussain4717 5 років тому

    Nice sir .. ..lovely and intrested lecture😄😄😄😆😆😆😆

  • @prakeshprekash3271
    @prakeshprekash3271 5 років тому

    GOOD Work and Good INFORMATION

  • @claudiomelo5711
    @claudiomelo5711 5 років тому

    Very usefull and really easy to understand.
    Thank you.

  • @lucasalledi
    @lucasalledi 4 роки тому

    Top notch! Keep on the amazing work! Thanks a lot!!!! =)

  • @Esil__
    @Esil__ 8 років тому +2

    U sir got my sub :3
    Crystal Clear Tutorial xD
    MAH GOD
    BLESS THIS MAN

  • @rachnapoddar4078
    @rachnapoddar4078 5 років тому

    Awsome explaination :)

  • @livthurston8294
    @livthurston8294 6 років тому

    this was so helpful omg thank you i was really about to just drop out

  • @Alex-gg3qm
    @Alex-gg3qm 7 років тому

    Awesome! Good work!

  • @georgep2712
    @georgep2712 6 років тому

    Have you got a float? Because you're a life saver!

  • @angelanoether781
    @angelanoether781 2 роки тому

    Very helpful, thank you.,

  • @RajeshKumar-dq6me
    @RajeshKumar-dq6me 6 років тому

    too good . very well explained

  • @waseefazamshah1791
    @waseefazamshah1791 4 роки тому

    Yes, this was helpful.

  • @hildamartinez6711
    @hildamartinez6711 5 років тому

    Saved my life

  • @tesladietz7946
    @tesladietz7946 Рік тому

    Why didn't other people just say that for garshsakes! Thank you soooo much!!

  • @michellewilkerson7403
    @michellewilkerson7403 7 років тому

    Thank you!!!

  • @SankhaKelumDahanaggalaSKD
    @SankhaKelumDahanaggalaSKD 4 роки тому

    Thanks 💖

  • @NaturallyNaomi
    @NaturallyNaomi 3 роки тому

    Thank youuuu

  • @kagamer21
    @kagamer21 Рік тому

    Thank you so much!!!

  • @eimyrame
    @eimyrame 4 роки тому

    Come to my college please😍you are a blessed.

  • @mr.noname6109
    @mr.noname6109 4 роки тому

    How did you calculate that 2/3 of the people have vegetables within the data point 2.4 to 7.6 ? How that 2/3 came?

  • @ess841
    @ess841 5 років тому

    Thank youyy

  • @Etienne-oq6we
    @Etienne-oq6we 5 років тому

    Ok for the standard calculation, but how did you come up with 2/3 of these people being comprised within the standard deviation range range?

  • @allen30331
    @allen30331 Рік тому

    What would the 2nd and 3rd standard deviations be?

  • @m.abubakrarqam4278
    @m.abubakrarqam4278 2 роки тому

    when to take n and when to take n-1 in the denominator?
    please elaborate?

  • @jacobm7026
    @jacobm7026 4 роки тому

    Hey, Jeremy, great video! May i ask how you made the animations? Im trying to create videos like this for my students but have no idea where to start getting these visualizations down. Thanks!

    • @mumiscrunk
      @mumiscrunk  4 роки тому

      Jacob M hey there! this one was with powtoon.

  • @waseemsheikh6676
    @waseemsheikh6676 7 років тому

    Best for ever

  • @fatimac.middleton3070
    @fatimac.middleton3070 5 років тому +2

    Am a outliner!

  • @boliussa
    @boliussa 6 років тому

    thanks, but what does it mean then to say "two standard deviations" or "three standard deviations"? And how would you calculate how many people have more than x vegetables?

  • @siryes7664
    @siryes7664 6 років тому

    Nice video, whats the outro song?

  • @Lowzenza4
    @Lowzenza4 5 років тому

    I thought you divide the sum of the squareroots by N-1 so should it have been 34 divided by 4, not 5...

  • @mvbpda
    @mvbpda 6 років тому

    THANK U

  • @ramyas5618
    @ramyas5618 6 років тому

    Why do we square (x-x bar).

  • @johnmathew0089
    @johnmathew0089 7 років тому

    When you cram in the last five mins of your final by watching this video.

  • @Joefest99
    @Joefest99 7 років тому

    Why wouldn't standard deviation just be calculating the average distance between each data point?

  • @AdamRakhamim
    @AdamRakhamim 7 років тому

    What's the difference between variance and a standard deviation?

  • @KA-yh5pk
    @KA-yh5pk 5 років тому

    Could you do a video for z scores and linear regression.

  • @AlexFirsikoff
    @AlexFirsikoff 3 роки тому

  • @ViceKnIghtTA
    @ViceKnIghtTA 6 років тому

    This should be blatantly labeled as a "pre-requisite" to your other video "standard deviation: explained & visualized". Thank you for creating these though, I am a visual person after all...

  • @blackjesus9641
    @blackjesus9641 3 роки тому +39

    Lmao I didn't understand this after two years of high school, and it only took you 2 youtube videos to explain it properly. Well done!

  • @genie1568
    @genie1568 4 роки тому +34

    I don't know if this will help but
    in order to memorize the sequence of operations, I came up of an acronym:
    MD SMR or you could pronounce it as "Mad Summer" where...
    M=Mean
    D=Difference
    S=Square
    M=Mean (again)
    R=Root

    • @ashleyklein9822
      @ashleyklein9822 3 роки тому +1

      Totally going to use that-- thanks for sharing!

    • @josephmathew12
      @josephmathew12 2 роки тому +1

      A Madsummer for me. 👍

    • @elbaymammadyarov8120
      @elbaymammadyarov8120 2 роки тому +1

      when we find square we do not divide it by mean, divide it by number of values. madsumder)

  • @leeannechan2211
    @leeannechan2211 6 років тому +133

    I wish I was taught mathematics the way you have presented here. I'm pretty sure I would have aced every test if the teachers had taken the initiative to clearly and interactively explain everything like you. Amazing video Jeremy - thank you sincerely!

  • @piolotagulao6080
    @piolotagulao6080 5 років тому +58

    Lmao my whole week summed up in less than 4 minutes. Thanks for this

  • @katelynnharris4501
    @katelynnharris4501 7 років тому +217

    Saving my life for my stats final

  • @ninemilliondollars
    @ninemilliondollars 5 років тому +24

    I watched your other video on "Standard Deviation - Explained and Visualized," but really needed this one which helped a lot. One good example related to practical every day life is determining the standard deviation of how much I spend on lunch every day. This will help me plan my budget. Thanks.

    • @josephmathew12
      @josephmathew12 2 роки тому

      I second that. I followed your trail and had to come to the second video to understand the first.

  • @Cheesecake99YearsAgo
    @Cheesecake99YearsAgo 3 роки тому +10

    0:52 Calculate Mean
    1:10 Subtract the mean from each data point
    1:32 Square each difference
    1:57 Calculate the Mean of the Squares
    2:12 Take the square root

  • @paulinacoffin5704
    @paulinacoffin5704 7 років тому +16

    Very easy to follow video! Also, I love the panda bears. :3

  • @matrixmirage2148
    @matrixmirage2148 4 роки тому +5

    Thank you very much, I love you man!
    It's a damn shame our teachers don't provide real-life examples like this: it's very hard to grasp the concept without them

  • @SteveFrenchWoodNStuff
    @SteveFrenchWoodNStuff 7 років тому +9

    Thank you! NOW I get what an SD is. I just watched another video that "explained and visualized" standard deviation (I think it may have been one of your videos) without explaining it at all; it only explained the usage. And the video left me just as puzzled afterwards as I was before. But now I get it!

    • @mumiscrunk
      @mumiscrunk  7 років тому +4

      Didn't see this comment when I posted the link to this video. Glad it helped and thanks for the feedback.

    • @PaulLepCooking
      @PaulLepCooking 6 років тому +5

      i followed your same path and read both comments lol.

  • @onkarbobade5272
    @onkarbobade5272 4 роки тому +6

    We need more and more teachers like you. What an easy explanation.

  • @1698lulu
    @1698lulu 7 років тому +13

    literally life-saving thx mah dude

  • @wendymaryswart1340
    @wendymaryswart1340 4 роки тому +4

    why was i so stressed about this? this is three weeks of stress for my exams gone after less than a 4 minute video

  • @MohammadAlshahrani
    @MohammadAlshahrani 5 років тому +8

    The SD is 2.91, not 2.6

    • @bonganemathebula7556
      @bonganemathebula7556 4 роки тому +1

      I think he calculated the POPULATION SD not the SAMPLE SD

    • @lizziebiology
      @lizziebiology 4 роки тому

      that's what I thought. Shouldn't it be divided by n-1 before square rooting? (not divided by n like he did?)

    • @lizziebiology
      @lizziebiology 4 роки тому

      @@bonganemathebula7556 Shouldn't it be divided by n-1 before square rooting? (not divided by n like he did?)

    • @bonganemathebula7556
      @bonganemathebula7556 4 роки тому +1

      @@lizziebiology No you only divide by n - 1 when calculating the SAMPLE STANDARD DEVIATION...i suggest you find out the difference between SAMPLE STANDARD DEVIATION & POPULATION STANDARD DEVIATION...

  • @BeyondBlazed420
    @BeyondBlazed420 8 років тому +7

    thank you so much i passed my exams cause of this

  • @gloverant
    @gloverant 2 роки тому +1

    Jeremy Jeremy Jeremy, my lord and saviour. Wanna b my new year 9 math teacher?

  • @cortycolemusic
    @cortycolemusic 5 років тому +3

    Thank you so much :) I'm SO ready for my engineering test!

  • @abhinavtyagi1657
    @abhinavtyagi1657 4 роки тому +1

    if you are in hurry...just skip to 3:30....that is more than enough

  • @kavitayadav7164
    @kavitayadav7164 7 років тому +5

    in standard deviation's formula the denominator should be "n"or " n-1" ??
    I have little bit confusion on that
    could you plsss help me to get rid from thin confusion !!!!!

    • @telugumm5792
      @telugumm5792 7 років тому +1

      kavita yadav same pblm for me.2

    • @kavitayadav7164
      @kavitayadav7164 7 років тому

      .okay have u got the answer!!!!

    • @telugumm5792
      @telugumm5792 7 років тому

      kavita yadav answer kadu asalu enduku veyyali ani concept

    • @MsBorkbork
      @MsBorkbork 7 років тому +3

      It depends on whether you're doing the formula for a sample or for the whole population. n-1 gives you more room for error when dealing with samples (because despite your best efforts your sample might differ from your population.)

  • @optimuspussnboots
    @optimuspussnboots 5 років тому +2

    This has to be the best channel ever actually explains so good and great, I was so confused before dis and I have a test tw and dis helped me so sooo much Thank You you are so a underrated channel af

  • @pearlvictoriagosiame7157
    @pearlvictoriagosiame7157 5 років тому +2

    Truly speaking the way you explain statistics is easy to understand and you're the first person I've ever heard explain it in such an early digestible way. Thank you for that.

  • @karengonzalez2219
    @karengonzalez2219 3 роки тому +1

    So much better than my stats professor. I hope you live a long and healthy life !

  • @icecoldbabydoll85
    @icecoldbabydoll85 7 років тому +1

    Thank you, I am preparing for my college math finals and this 'always' confuses me. You explained it well and the cartoon is cute and helps it be appealing. Thank you, wish me luck. btw- im subscribing

  • @fly-safe-compliant-airworthy
    @fly-safe-compliant-airworthy 7 років тому +2

    As with Dock Yates, the presentation is clear amd well-explained. However Z bar is only utilized for Sample Mean as part of the Sample Standard Deviation formula. Population Mean is usually denoted as the greek letter 'mu'. You are still showing it in the version of the video as X bar. Thought that you should know.

    • @mumiscrunk
      @mumiscrunk  7 років тому +1

      Thanks for the clarification!

  • @ConcreteSheep
    @ConcreteSheep 3 місяці тому

    I've seen some places when calculating the mean of the squared differences, they divide them by 1 less than the amount.
    So for your example, it would be... 9+4+1+4+16 / 4 = 8.5 = 2.9
    Why would they do that?

  • @catirerubio
    @catirerubio 5 років тому +2

    There more that I review this video, the more opaque it becomes.

  • @ironman75662ify
    @ironman75662ify 8 років тому +27

    don't forget n-1

    • @mumiscrunk
      @mumiscrunk  8 років тому +8

      Important point. I mention it towards the end of the video.

    • @DennisDavisEdu
      @DennisDavisEdu 7 років тому +5

      The video was clear and well-done. But...
      σ (sigma) corresponds to the Population standard deviation and the denominator in the radical should be capital N for Population size.
      s (lower case) corresponds to the Sample standard deviation and the denominator in the radical should be lower-case n-1 where lower-case n is the Sample size.
      Mixing σ (sigma) with lower-case n in the same standard deviation formula could be confusing to students.

    • @mumiscrunk
      @mumiscrunk  7 років тому +2

      Thanks for the correction.

    • @amolpatil9707
      @amolpatil9707 6 років тому +2

      Coul you please explain in simple terms why n-1 instead of n? I know it is to be used when sample size is smaller. But why? That I don't understand.

  • @Jorti1boomboxvideos
    @Jorti1boomboxvideos 5 років тому +1

    Thanks, I needed to know this for my final exam. I didnt know before as I'm still in high school about to take a college exam.

  • @goofyduckmouse2263
    @goofyduckmouse2263 5 років тому +2

    Thanks Jeremy! Good explanation!

  • @Sugaro_x
    @Sugaro_x 4 роки тому

    or... sqrt((2-5)^2+(3-5)^2+(4-5)^2+(7-5)^2+(9-5)^2/5)
    edit:
    basically this
    sqrt((a-x̄)^2+(b-x̄)^2+(c-x̄)^2+(d-x̄)^2+(e-x̄)^2/5) P.S it is helpful to understand how standard deviation works, but with this formula you just put it into a calculator and bam

  • @jakebendall8092
    @jakebendall8092 3 роки тому

    Can someone tell me if I am right in saying for the video example, using the bell curve:
    68.2% (aka 2/3rds) of people fall within 1 Standard deviation - so 2/3rds of people have 7.6 or less vegetables in their fridge.
    95% of people fall within 2 Standard deviations - 95% of people have 10.2 or less vegetables in their fridge.
    99.7% of people fall within 3 Standard deviations - 99.7% of people have 12.8 or less vegetables in their fridge.

  • @carelican
    @carelican 4 роки тому +1

    i cannot explain how much you saved my life thank you thank you thank you thank you thank you thank you thank you thank you thank you thank you thank you thank you-

  • @nicole-mo8je
    @nicole-mo8je 4 роки тому

    quick question, this isnt really related to the video but only a little. if i have done this correctly, would the standard error of mean for the example used in this video be 1.18?
    since, x bar = 5; sample size = 5; standard deviation = 2.6
    and the formula for se = standard dev./ square root of sample size; which would be se = 2.6/2.2 (2.2 being the square root of 5)
    would make the SE = 1.18? is this correct?
    im just very curious, i hope you dont mind me asking mr. jones.

  • @sierraclark6129
    @sierraclark6129 3 роки тому

    “If you declare with your mouth “Jesus is Lord,” and believe in your heart that God raised Him from the dead, you will be saved” (Romans 10:9). Now is the time to accept Jesus as your personal Lord and Savior. Obey His commands and repent of your sins because Jesus is coming back soon. Tomorrow isn’t promised.

  • @williamhorn411
    @williamhorn411 2 роки тому

    I don't understand why you would square the differences instead of just taking the absolute value. Also, I don't see how taking the square root later on reverses the squaring, because sqrt(a^2 + b^2) does not equal sqrt(a^2) + sqrt(b^2). Could somebody explain this to me please?

  • @bigegorn
    @bigegorn 4 роки тому +1

    You may have saved my life with this video. I’m taking Statistics and am on the verge of tears. Thanks so much !!

  • @StopSelfDoubting
    @StopSelfDoubting 11 місяців тому

    I watched about 4 videos explaining this. Your video, by far sir, explained this so well which made it easier to understand. Thank you so much.

  • @HusseinDoha
    @HusseinDoha 4 роки тому

    Thank you.
    At (2:04), it would have been awesome if you have said that result from this calculation is the "variance". I know you were focusing on SD. But a drive by mention would have been awesome.
    Thanks.