Standard Deviation Formula, Statistics, Variance, Sample and Population Mean

This statistics video tutorial explains how to use the standard deviation formula to calculate the population standard deviation. The formula for the sample standard deviation is also provided. This video shows you the variables associated with the sample mean and the population mean. In addition, it discusses how to calculate variance from standard deviation.
Introduction to Statistics:
• Introduction to Statis...
Arithmetic, Geometric, & Harmonic Mean:
• Arithmetic Mean, Geome...
Cumulative Relative Frequency Table:
• How To Make a Cumulati...
Quartiles, Deciles, & Percentiles:
• Quartiles, Deciles, & ...
Interquartile Range & Outliers:
• How To Find The Interq...
___________________________________
Skewness & Symmetric Distribution:
• Skewness - Right, Left...
Sample Mean and Population Mean:
• Sample Mean and Popula...
Mean, Median, & Mode - Grouped Data:
• Mean, Median, and Mode...
Standard Deviation:
• How To Calculate The S...
Variance:
• How To Calculate Variance
___________________________________
Mean Absolute Deviation:
• Mean Absolute Deviatio...
Standard Deviation of Grouped Data:
• How To Calculate The S...
Introduction to Probability:
• Introduction to Probab...
Probability Formulas:
• Probability Formulas, ...
Final Exams and Video Playlists:
www.video-tuto...

Пікірлер: 399

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor8 ай бұрын

    Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections

  • @elizabethkain75
    @elizabethkain752 жыл бұрын

    You explained in 6 minutes what my college professor failed to teach in 2 weeks. Thank you so much!!!! I have a test on this next week and I was so lost. I spent three hours on a homework assignment because I didn't understand their wording and now I get it perfectly!!! Thank you!!

  • @manahelh.6104

    @manahelh.6104

    Жыл бұрын

    uni and college sets students up for failure tbh

  • @lukekrawiec3522

    @lukekrawiec3522

    Жыл бұрын

    im sorry, you do this in college???????

  • @lk6977

    @lk6977

    Жыл бұрын

    @@lukekrawiec3522 yes?

  • @thegreatpapyrus3644

    @thegreatpapyrus3644

    10 ай бұрын

    why? is there something wrong? @@lukekrawiec3522

  • @blossomluvsu9

    @blossomluvsu9

    9 ай бұрын

    COLLEGE?? bro im struggling with this at 12 years old 😭

  • @wrjazziel
    @wrjazziel3 жыл бұрын

    I come to this channel for everything I don't understand from my University professors

  • @ayeshakoser5831

    @ayeshakoser5831

    Жыл бұрын

    Same here😂😂

  • @mmhh3553

    @mmhh3553

    Жыл бұрын

    Me too 😂😂😂😂

  • @alessandrozito7047

    @alessandrozito7047

    Жыл бұрын

    University? I’m learning this in grade 10 yeah buddy your probably in the American school system that’s why

  • @chelsiiiwhoo4030

    @chelsiiiwhoo4030

    Жыл бұрын

    @@alessandrozito7047 statistics isn’t mandatory in the US but you CAN take it and higher in our high schools.

  • @alvinbett111

    @alvinbett111

    Жыл бұрын

    Same

  • @soha1301
    @soha13013 жыл бұрын

    Im crying.. 😭 you explained me something so perfectly my professor couldn't .. thank you soo much 🌹💯👏

  • @soha1301

    @soha1301

    2 жыл бұрын

    @@maxwong4918 if i could pay attention to this video, his way of teaching and understand the concept then why do you think I didn't pay attention to my professor 😂😂 anyways think as u like im glad i cleared my exams coz this guy I'll always be thankful 😊

  • @mriduldubey2920

    @mriduldubey2920

    2 жыл бұрын

    same scene as mine 😂😂

  • @Svelasc2

    @Svelasc2

    2 ай бұрын

    SAME!

  • @carlettaknoxseymour4406
    @carlettaknoxseymour44062 жыл бұрын

    This man is phenomenal! He’s methodical and patient in his teaching. I learned so much from his video.

  • @wc4201
    @wc4201 Жыл бұрын

    i've been out of school for over a decade but recently returned to pursue an MBA. I literally learned more in 10 minutes than I did in my class last week. Thank you.

  • @jasonsusayajps3187
    @jasonsusayajps31873 жыл бұрын

    I know there's someone here looking for better teacher than in our online class teacher this pandemic. 😁

  • @war_correspondent
    @war_correspondent Жыл бұрын

    You just helped me summarized my 6 months class in 10 mins. This morning I got final, thank you so much!

  • @xvingar6318
    @xvingar6318 Жыл бұрын

    i cant count on both of my hands how many times i watch your videos for help. In 9th grade from alegebra, chemistry, and alegrbra 2 to statistics first year in college, you helped me so much you dont understand

  • @josuecarlos6941
    @josuecarlos69416 жыл бұрын

    Long life for this channel!

  • @aussielife4604
    @aussielife46044 жыл бұрын

    Thank you, you’re actually better than a university lecturer. Crazy!

  • @BMSKARATE
    @BMSKARATE2 жыл бұрын

    For programmers (Python): # sd_list = [3,5,7] top_row = [(x - mean(sd_list))**2 for x in sd_list] final_equasion = math.sqrt(sum(top_row) / 3) Amazing video, again and again! Thank you so much TOCT!

  • @zakattack786

    @zakattack786

    2 жыл бұрын

    hi

  • @HustlerEli

    @HustlerEli

    Жыл бұрын

    here's a cool python program I made for this: import numpy from math import sqrt heights = [175, 180, 190] new_heights = [] x = len(heights) z = numpy.mean(heights) for i in heights: y = i - z y = y**2 new_heights.append(y) for i in range(x): e = new_heights[i] / x new_heights[i] = e std_dev = sqrt(sum(new_heights)) print(std_dev)

  • @LauraTeAhoWhite
    @LauraTeAhoWhite3 жыл бұрын

    Whenever I get homework, this is channel is my first stop. This guy makes maths fun and easy to learn.

  • @BeNothingg
    @BeNothingg2 жыл бұрын

    I have an exam today 🙃

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    @nozimasobirova43004 жыл бұрын

    thank you so much you help to students who are preparing 24 hours before the exam, keep it up

  • @kelseyfuglestad2593

    @kelseyfuglestad2593

    4 жыл бұрын

    Definitely me right now

  • @reanna5158

    @reanna5158

    4 жыл бұрын

    prepping 12 hours before... yikes

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    @lauramartinez70096 жыл бұрын

    Your videos help me, you are much clearer explaining these problems than my professor and textbook

  • @phillipsithole7275
    @phillipsithole72755 жыл бұрын

    Moderate voice, standard explanations...everything perfect

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    @cameronreyno7175

    3 жыл бұрын

    Yeah this guy is fantastic

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    @dignanavida59485 жыл бұрын

    Really love your voice and your explanations are always on point! Good job! Happy that I found your channel.

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    @UberPretzel1019965 жыл бұрын

    I’ve had the flu and missed classes this week thank you sir for helping me catch up.

  • @jilianbarganier1383
    @jilianbarganier13832 жыл бұрын

    Your voice is so tranquil and your breakdown is so easy to understand

  • @DinithiJay
    @DinithiJay4 күн бұрын

    Thank you. You are literally covering almost all the course modules in my university life...

  • @flaxschoolacc1193
    @flaxschoolacc11932 ай бұрын

    Tysm for your content! Thanks to you I scored a 72% on my statistics test! I usually get really bad grades on my math (between 25% and 46%) this is the first time I've ever gotten this good on math this semester. Really thank you

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    @sabathilegumbi16913 жыл бұрын

    I always find his videos helpful. Thank you so much

  • @lovesicktrick
    @lovesicktrick2 жыл бұрын

    Hello, when you are solving standard deviation, I don't see the part in the formula where we use (n-1). It's sqrt8/3 at the 6:00 mark in the video?

  • @ahuma6952

    @ahuma6952

    2 жыл бұрын

    I believe it's Because We are using the Population instead of a sample

  • @andrewvasquez7141
    @andrewvasquez71416 жыл бұрын

    This guy is the best I swear!

  • @cindylee1965
    @cindylee19653 жыл бұрын

    I sometimes did not catch up with some of my topics but coming across this channel saves me huge amount of time and he always make this topic much easier and interesting. You are the best. Thankyou

  • @sizuchii
    @sizuchii4 жыл бұрын

    yup, this guy has been one of the best tutor I've got. his voice is nice that makes me calm when it comes to math and the explanations are so easy to understand.

  • @lisanguyen2397
    @lisanguyen23974 жыл бұрын

    Thank you for detailed explanation , your video is always the best. Your are the reason I understand and pass my math classes.

  • @jasminetaul3779
    @jasminetaul37795 ай бұрын

    I just got mad watching this video cuz I’ve been in stats for 8 weeks and haven’t understood SHIT. But I come to this 10 minute video and everything is clicking and making sense 😭😭PLS KEEP MAKING THESE VIDEOS

  • @user-xz2lz8ki5u
    @user-xz2lz8ki5u Жыл бұрын

    Thank you for the most understandable explaination. I understand literally NOTHING of what my prof said in the class. YOU ARE MY LIFE SAVER.

  • @redbutterflyinspo4654
    @redbutterflyinspo46543 жыл бұрын

    If you’re preparing for an exam or test and are here you gots this and also these videos help so if you’re looking for feedback in the comments here is it

  • @aragar8920
    @aragar89203 жыл бұрын

    I am your fan!!!!!!! You are amazing at explaining!!!! And your tone calms me down, which helps me to understand!!!!!!

  • @michaelaguilera6287
    @michaelaguilera62872 жыл бұрын

    Quick question, why is the standard deviation calculation you made for 3,5,7 not over n-1? I thought that 3,5,7 was a sample of the population 3,4,5,6,7. Just asking for clarification. I appreciate your channel it really helps me learn. Especially when I don't understand my professor, so thank you for your work.

  • @sarthakgarg35

    @sarthakgarg35

    2 жыл бұрын

    Hi Michael, I'd been struggling with the very same question personally for quite some time until I found the following video explanation and it just elevated my whole understanding of this concept to another level. Go ahead and give it a watch, I bet this would be a super productive one. Do let me know if this helps, Cheers! kzread.info/dash/bejne/c4KnuNGdf9iXhMo.html

  • @wiggl3s_821

    @wiggl3s_821

    Жыл бұрын

    I also thought this, is this a mistake?

  • @muahna15

    @muahna15

    8 ай бұрын

    he just did the population standard deviation and not the sample. The sample formula is with n-1

  • @sspah6870
    @sspah6870 Жыл бұрын

    Thanks a lot, super concise and clear, you're a blessing man.

  • @mariacurotto2283
    @mariacurotto22834 жыл бұрын

    bro you are so good!!!! you are saving my life right now!!! THE REAL MVP!!!

  • @ian8879
    @ian88795 жыл бұрын

    A big thanks to you, this really really helps alot, i understand this lecture alot more than my Math teacher...

  • @corinnemcconnaughy3996
    @corinnemcconnaughy39962 жыл бұрын

    thanks for your explanations! you've made online statistics so much easier to learn!

  • @roselindbibliophile3260
    @roselindbibliophile32605 жыл бұрын

    How I would know if it sample deviation or population deviation if it doesn't mention that in the question

  • @wm511

    @wm511

    5 жыл бұрын

    Good question! If they never mention the word sample or population in the question, always assume it is a population either way the answer will be the same for both at the end!

  • @princessnaaofeibeaquarcoo3091

    @princessnaaofeibeaquarcoo3091

    4 жыл бұрын

    If it never mentioned it is the population standard deviation

  • @minnicute2497

    @minnicute2497

    4 жыл бұрын

    @@princessnaaofeibeaquarcoo3091 Are you sure

  • @hopeperalta7382

    @hopeperalta7382

    4 жыл бұрын

    The video is cutting off, I can not hear well, it cuts off.

  • @vanessajohnson3952

    @vanessajohnson3952

    3 жыл бұрын

    In the clinical laboratory we use sample deviation, not population. 20+ years ago I was only taught sample deviation. The population deviation will be slightly lower than the sample deviation. In most cases it would not matter which one you used, however, there may be some cases where it does change how you would round the standard deviation.

  • @feranmioladipo
    @feranmioladipo10 ай бұрын

    God bless this guy He's teaching skills are so special 👌

  • @jeremyk7378
    @jeremyk73786 ай бұрын

    You are a genius and the reason why my understanding keeps improving, thank you for the content!!!

  • @gileamburce1315
    @gileamburce1315 Жыл бұрын

    Tysm l learn everything from you and lve been the honor of our class by the help of your vids

  • @alaurenfuentes
    @alaurenfuentes2 жыл бұрын

    you're an amazing teacher and I've used your videos for all my math classes. I wish you would teach teachers how to teach. Thank you

  • @Slayinkings1994
    @Slayinkings19943 жыл бұрын

    shouldnt it be (n-1) for the denominator instead of just n

  • @spiderace7994
    @spiderace79943 жыл бұрын

    You are a hero for all people with math help!

  • @kristylisak.3310
    @kristylisak.331010 ай бұрын

    Dang this is such a simple explaination of SD and Variance! I wish he went over practical examples like how this relates to reading statistical research papers! But his channel alone is the main reason I'm doing well in school!

  • @Abby-hr8im
    @Abby-hr8im4 жыл бұрын

    You just saved my life thank you so much!!!! I have a midterm, and without this video I would of failed lmfao.

  • @broncooccelien2946
    @broncooccelien29466 ай бұрын

    I'm about to take an exam and bro you are a lifesaver definitely got that follow.

  • @muahna15
    @muahna158 ай бұрын

    you teach better than my prof .

  • @michellestolzenburg3062
    @michellestolzenburg30626 жыл бұрын

    Thank you. You helped me get more statistics homework in on time.

  • @rudyperez2542
    @rudyperez25425 жыл бұрын

    Just wow dude! great job!. simple to understand. thank you very much

  • @isabelcontreras8472
    @isabelcontreras84723 жыл бұрын

    the way u said sigma, made my day🥰🥰🥰

  • @DUMITRUANDREEA-GEORGETA
    @DUMITRUANDREEA-GEORGETA Жыл бұрын

    ha ha i understand more from you than from my teachers explaining in my native language. thanks, man! you re awsome!

  • @veranikakvitko9632
    @veranikakvitko96326 жыл бұрын

    this is very helpful, everything is explained very simply. subbed

  • @user-rm8cm4xc9k
    @user-rm8cm4xc9k8 ай бұрын

    You have a good method of delivering lectures

  • @wiggl3s_821
    @wiggl3s_821 Жыл бұрын

    I love you so much man, you’ve single handedly saved my ass when it comes to statistics. (I’m disastrously bad at maths so seriously, thank you so much)

  • @hathu5060
    @hathu50606 жыл бұрын

    hopefully there are gonne be more videos on statistic tutorial

  • @peterpace3379
    @peterpace33795 жыл бұрын

    I've been revising for JEE & other exams from your videos! Thanks a lot!!!

  • @cacalightx

    @cacalightx

    8 ай бұрын

    yo how did your jee go

  • @_av8
    @_av8 Жыл бұрын

    the comments on math videos are always positive. and like: this video taught me in minutes what teacher couldn't in weeks😁😁

  • @Our.nostalgia657
    @Our.nostalgia6572 жыл бұрын

    Thank you professor, currently busy witha an assignment.

  • @gmj2025
    @gmj2025 Жыл бұрын

    Thank you so much for your help! It’s easier when you teach it.

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    @mikeugarte53514 жыл бұрын

    dude this account legit saved my life

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    @ZeitunaAbdallah-fy9ee4 ай бұрын

    God bless the organic tutor he's such a life saver

  • @AliHadi_
    @AliHadi_ Жыл бұрын

    Thank you bro, missed 2 weeks of class and this is saving me.

  • @venessoko1932
    @venessoko19324 жыл бұрын

    OMG...this video was so helpful...the stress all long gone...thankyou very much..

  • @PallyGonzalez
    @PallyGonzalez Жыл бұрын

    seriously thank you so much, all my professor did was the way to find standard deviation is just do this equation here .

  • @ashelymwinga1375
    @ashelymwinga13752 жыл бұрын

    Well and simply explain, My best online tutor.

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    @mahathirhossain85262 жыл бұрын

    this guy deserves everything

  • @user-bt9tl3ii8h
    @user-bt9tl3ii8h4 ай бұрын

    So basically the variance formula is same as the STD without the square root. thanks a lot buddy.

  • @asdfghjkl-vq2qz

    @asdfghjkl-vq2qz

    4 ай бұрын

    I see that you've understood everything without a problem, would you mind to give me some extra easy examples? You dont have to explain it in word, just example of set of numbers and the actual computation? Please i beg of you 😢

  • @livilia276

    @livilia276

    4 ай бұрын

    ​@@asdfghjkl-vq2qz I can help you

  • @lilly6805
    @lilly6805 Жыл бұрын

    Wonderful video thanks for such a helpful video. And thanks to a teacher who helps their students in.

  • @YT.R_Oxido
    @YT.R_Oxido3 ай бұрын

    dude, i thank you so much sir, once again u saved me in my exam, i only have 2 problems wrong and its all because of arrangement i kinda rushed answering my exam, but still got highest, thanks

  • @thecoffeebadger5807
    @thecoffeebadger5807 Жыл бұрын

    Thank you sir for showing me what the Sigma symbol represents. It appeared scary at first glance but that short explanation was all I need to use this formula with confidence.

  • @danplaysgames2666
    @danplaysgames26669 ай бұрын

    I like the way you simplify it. Thank you.

  • @jennifersawyer6657
    @jennifersawyer66572 жыл бұрын

    Thank you soo much for breaking it down for me. My book, nor my professor provided this specific information.

  • @tymothylim6550
    @tymothylim65503 жыл бұрын

    Thank you very much for this video :) It was clear and easy to follow.

  • @love_jjk
    @love_jjk2 жыл бұрын

    i finally know how to do math, im so grateful for your account TT

  • @machahensem3327
    @machahensem3327 Жыл бұрын

    i have exams this upcoming week, and you teach me better than my lect

  • @samiatabassum9463
    @samiatabassum946311 ай бұрын

    You are way better than my ap stats teacher 😢😢

  • @LindtLain
    @LindtLain2 жыл бұрын

    Thank you so much❤ this literally saved me from my exam this week

  • @jmoneyswag7815
    @jmoneyswag7815 Жыл бұрын

    you explained this wayyyy better than my teacher. im finally gonna do good on my retest. thank you so much sir

  • @mputaostin3077
    @mputaostin30772 жыл бұрын

    Thanx for the demonstration message be blessed

  • @siyabulelampinge564
    @siyabulelampinge5642 жыл бұрын

    This Guy is the Hope of mine in whatever mathematics challenge i face,A big Shout out to you Sir

  • @jansmith8048
    @jansmith804811 күн бұрын

    I needed this when I took statistics

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    @muhammadyousufkhuram4936 Жыл бұрын

    This guy helped in Differential calc, then integral calc, then stats, now in GIS courses 🤝

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    @ordinaryblueberry45243 жыл бұрын

    My favorite math youtuber

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    @matsen2c5-1 Жыл бұрын

    My favorite channel,therefore every video that I watched makes sure subscribe and give thumbs up to appreciate him..top

  • @hannahjuliagonzales6950
    @hannahjuliagonzales69504 жыл бұрын

    Thanks for the video, I literally thought regular standard deviation was the same with Population and sample deviation

  • @hinokiband7288
    @hinokiband72882 жыл бұрын

    Taught me more than the whole 45 mins math class today .Thank you

  • @vvinterwitch
    @vvinterwitch Жыл бұрын

    Thank you really helpful, my professor forgot to upload the lecture video for the hw due in a few hours

  • @givenpuje6106
    @givenpuje6106 Жыл бұрын

    thank you very much you have no idea how much you are helping me

  • @solomondagnachew8682
    @solomondagnachew86822 жыл бұрын

    You're so Generalist to explain about all science disciplines briefly

  • @vitalikbukhantsov697
    @vitalikbukhantsov697 Жыл бұрын

    Quick question, you mentioned that with sample standard deviation you do N - 1 which you didn't end up doing in the end of video. (8:30)

  • @muffinnit

    @muffinnit

    Жыл бұрын

    because it is the same process except you do n-1 instead of only dividing sum to n

  • @mathhelpmadeeasy
    @mathhelpmadeeasy2 жыл бұрын

    Fantastic video for Finding Standard Deviation in Statistics! Thank you!

  • @wandipebenny5597
    @wandipebenny55972 жыл бұрын

    Thank so much my teacher didn't explain this topic and give me a assignment so when I watch this i understand n complete my assignment 🙏🏿💔🙏🏿

  • @cardcaptorsakurax16
    @cardcaptorsakurax165 жыл бұрын

    Can you please make a Statistics playlist? I’d like to study it over winter break because I’m terrible at math & I’m not sure on the topics that Stats go over

  • @tabethchatyoka1016
    @tabethchatyoka1016 Жыл бұрын

    Thank you soo much this was brief and straight to the point 🎉

  • @Chi_Nesha
    @Chi_Nesha2 жыл бұрын

    First of all, I love his voice but he helps me understand.

  • @ediblerice912
    @ediblerice9123 жыл бұрын

    You're the hero we need

  • @Tixlez108
    @Tixlez1086 ай бұрын

    Dude honestly thank you it took me 6 mins to learn it and perfect it rather then 45 mins 😂

  • @eneshagarajayeva
    @eneshagarajayeva9 ай бұрын

    Your voice is so calming I love it I wonder what you look like in life)

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    @shiromidassanayaka150011 ай бұрын

    You are a miracle worker💯