Variance and Standard Deviation: Sample and Population Practice Statistics Problems

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  • เผยแพร่เมื่อ 28 ก.ย. 2024
  • For more success with variance and standard deviation problems, you can checkout the book I used for reference, Schaum's Statistics Outline - amzn.to/2yeUaDk.
    Variance and Standard Deviation are all statistical ways of measuring variation. We'll take a look at how to solve practice statistics problems for sample variance, sample standard deviation, population variance and population standard deviation by hand using just your calculator. In our problem we'll take a look at ages of kids at a birthday party. I also mention how to make meaning of this data if they were points somebody scores in various basketball games. Hope that helps.
    *More practice statistics and probability videos*
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    + Variance and Standard Deviation: • Variance and Standard ...
    + Frequency Tables: • How to Create Frequenc...
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    The videos I post on TH-cam are primarily for my own college students, so I usually do not have time to respond to TH-cam comments. But, I'll do my best to respond when I can.

ความคิดเห็น • 254

  • @fernandomaron3498
    @fernandomaron3498 6 ปีที่แล้ว +282

    It's funny. Sometimes we stay 2 hours in class watching professor explain how to calculate standard deviation and variance. At the end we don't understand very well. Here, 13 min is more than enough for me to understand and gain confidence. Anyway, thank you very much for the video.

    • @caseymaps4918
      @caseymaps4918 6 ปีที่แล้ว +1

      That's so true

    • @jasontutorials4809
      @jasontutorials4809 6 ปีที่แล้ว +6

      Spend time in an hour and a half lecture, and still don’t understand anything, watch a 13 min video or even shorter, and miraculously understand it...explain that

    • @stephenkiama4665
      @stephenkiama4665 5 ปีที่แล้ว +1

      I agree with you

    • @KK-yt8qw
      @KK-yt8qw 5 ปีที่แล้ว +1

      Stephen Kiama e

    • @sirhilmohamed1193
      @sirhilmohamed1193 5 ปีที่แล้ว +1

      I seconded you.

  • @angelicaibanez5327
    @angelicaibanez5327 4 ปีที่แล้ว +1

    I'm in Business Economics & Decisoin Science. Roughly over a month. I just understood your 13 min. video of the sample mean, variance, and standard deviation. Over my professor. I was struggling in finding the mean, variance and SD but i see now that is more simple then what I thought. THANK YOU!!!

  • @exploringim6191
    @exploringim6191 4 ปีที่แล้ว +1

    That equation looked all kinds of terrifying before you explained what the letters were. I just stared at it in my text book not understanding a single word of it. Now I'm saved. Thank you!

  • @AndrewMcNeillMusic
    @AndrewMcNeillMusic 6 ปีที่แล้ว +17

    What a brilliant communicator! Totally recommended. Look forward to checking out more of your videos

  • @GrimFemme
    @GrimFemme 7 ปีที่แล้ว +58

    You just saved my grade. Thank you.

  • @Dee-ye2dk
    @Dee-ye2dk 5 ปีที่แล้ว +43

    When you have a full time job plus attend college full time but you find someone willing to give their time to teach others via TH-cam. Thank you for this video, currently taking stats in college.

  • @hanesmitter1469
    @hanesmitter1469 5 ปีที่แล้ว +8

    I had forgotten this simple procedure and I totally couldn't remember
    Credits to you

  • @linetgachiuki3078
    @linetgachiuki3078 4 ปีที่แล้ว +6

    Great demonstration! I would like to be as clear as you are when I ever get to teach!

    • @statisticstuber6110
      @statisticstuber6110 3 ปีที่แล้ว

      You can take any kind of statistics help at anderson.kevinnn0@gmail.com

  • @af5104
    @af5104 2 ปีที่แล้ว

    For the variance, you must divide by the total of frequencies. The square of the either of the STDEV.S and .P will not give you the variance which in most cases should be a decimal fraction.

  • @nurulainnajwasuhaimai4418
    @nurulainnajwasuhaimai4418 3 ปีที่แล้ว

    just know that before this I'd used a complicated formula to remember. u saved my time to memorise and understand this thing!!

  • @analync.torres625
    @analync.torres625 2 ปีที่แล้ว +1

    I got it. 27.2 divide by 4 is equal to 6.8. Anyway, thank you for this video. I learn a lot. God bless☺️🙏🏻

  • @lovemendez5406
    @lovemendez5406 5 ปีที่แล้ว +4

    I loved how you described it, I was able to comprehend through your work fast, but how do you do the frequency that goes in the beginning ? Anyone please let me know thanks 🤓

    • @abubakaryunusa2604
      @abubakaryunusa2604 4 ปีที่แล้ว

      WE ADD ALL THE FREQUENCIES AND DIVIDE THEM BY FIVE(TOTAL NUMBER OF THE FREQUENCIES) TO GET THE MEAN WHICH IS 6.4

  • @mbangetaheteng3419
    @mbangetaheteng3419 5 ปีที่แล้ว

    sir i really appreciate the way you teaches on this topic, you give more clarity on statistic management concerning variation,thanks

  • @nosiphosimelane5736
    @nosiphosimelane5736 2 ปีที่แล้ว

    I really needed this lesson before my STAs exam

  • @koba3174
    @koba3174 ปีที่แล้ว +1

    How did the 27.2 over 4 became 2.607? Did you square root it? How did you exactly got it??

  • @nurlatifahmohdnor8939
    @nurlatifahmohdnor8939 2 ปีที่แล้ว

    Page 1 - 18
    Cathode
    Ray
    Tube
    or
    The video d.:
    1 Monochrome D. U.
    720 dots × 348 dots (resolution)
    9 × 14 dots (characters in a matrix)
    2 Colour Video D.U.
    What are the 4 different basic colours at one time?

  • @joyceguevara8302
    @joyceguevara8302 5 ปีที่แล้ว

    This was very helpful to understand the formulas. He make it seem very simple to do it yourself.

  • @eugenejoseph6666
    @eugenejoseph6666 5 ปีที่แล้ว +1

    2.3 * 2.3 = 5.29 , round off will be 5.30 , where did you get 5.4 from ?

  • @ahamedakmal7104
    @ahamedakmal7104 7 ปีที่แล้ว +2

    how will standard deviation of a set of discrete data change
    -when a value that is equal to the mean is added to data
    -when a value less than one standard deviation from mean is added to data
    -when a value that is more than one standard deviation is added to data?

  • @lekpjedits18
    @lekpjedits18 4 ปีที่แล้ว +1

    Sir....plz help me to find the answer of this question :
    The mean and standard deviation of a set of 100 observations are worked out as 40 and 5 respectively by a computer which by mistake took the value of 50 in place of 40 for one observation. Find the correct mean and variance
    Plzz... bcz this is the most frequently asked question in our exams

  • @lailauthman5454
    @lailauthman5454 5 ปีที่แล้ว +2

    It's very helpful, infact when I confuse in my reading (revision) I just visit this clip🙌 🌹🥀💐

  • @nayararenteria
    @nayararenteria 5 ปีที่แล้ว

    So basically there is two ways to solve it depending on what it’s asking?? If it’s asking for sample you have to subtract n-1 & if it’s asking for population it’s just like 5 for example ??

  • @afiacodlin3739
    @afiacodlin3739 ปีที่แล้ว

    i must say thank you and i so glad i came across your video. i really needed this clarification

  • @tammymcfee9325
    @tammymcfee9325 5 ปีที่แล้ว +1

    Thank you!!! I have been trying to do this for days... I have been trying to subtract the first set of x-x from the second set squared and I was always getting negatives...I was frustrated....

    • @kkurachannel2715
      @kkurachannel2715 5 ปีที่แล้ว

      help... i'm cnfused with the z-score equations. how to know if a problem will use population ewuation or sample equafion..?

  • @ajayjackson7727
    @ajayjackson7727 4 ปีที่แล้ว

    what is the standard deviation of the data set 30 0 0 ?

  • @minivantoirog2089
    @minivantoirog2089 4 ปีที่แล้ว +1

    Hey the formula is different than the one on the internet without negative 1

  • @NoNamae0_0
    @NoNamae0_0 2 ปีที่แล้ว

    bro ur a lifesaver.

  • @LSAMace
    @LSAMace 5 ปีที่แล้ว +1

    if i think this is easy will i do good in statistics class?

  • @ninoelcastro2905
    @ninoelcastro2905 6 ปีที่แล้ว +8

    Dude i laugh at 3:42 gonna say it happens on class Lmao

    • @lindseyhendrix2405
      @lindseyhendrix2405 4 ปีที่แล้ว

      real talk
      😂 lmao it even frightened me just now because I honestly forgot how to do all this but whenever I took stats in college, I distinctly remember our professor writing out that formula for the first time and the immediate horror
      on all of our faces. at first glance, that formula had me rethinking my entire life choices 😂😂

  • @hlengiwengutha7844
    @hlengiwengutha7844 3 ปีที่แล้ว

    Help please.
    A retailer observes that the demand for a popular board game averages 40 per week with the standard deviation of 13. If the seller wishes to have adequate stock 99% of the time, at least how many games must she keep on hand?

  • @amanjasrotia8749
    @amanjasrotia8749 3 ปีที่แล้ว

    Please clear me that why was the denominator in terms of age was n-1 where as for population it us N. Is there any more things in which n-1 is used other than N. Please clear my doubt, anyone

  • @yogeshpareek181
    @yogeshpareek181 3 ปีที่แล้ว +1

    Realy great vedio sir thax for helping

  • @charlottewaller6269
    @charlottewaller6269 4 ปีที่แล้ว

    Thank you so much! This was so helpful! I have an exam tomorrow and was really confused before watching this!

  • @tarikuamante4546
    @tarikuamante4546 4 ปีที่แล้ว

    it is an interesting demonstration. you make it easy for us. thanks a lot statistic dojo

  • @mindy8331
    @mindy8331 2 ปีที่แล้ว

    Thank you for this video. Very helpful.

  • @NaturelySpace
    @NaturelySpace 2 ปีที่แล้ว +1

    Thank you

  • @alejandrabradley8180
    @alejandrabradley8180 6 ปีที่แล้ว +1

    Thank you for the help, great example!!

  • @Domestikos88
    @Domestikos88 4 ปีที่แล้ว +1

    I don't understand how 2.6 is 27.2/4 squared.

  • @n.g.6442
    @n.g.6442 4 ปีที่แล้ว

    Why is it that when dividing some ppl subtract 1 from it like (n-1) whereas others just divide by n?

  • @nakasisara4400
    @nakasisara4400 6 ปีที่แล้ว +2

    I just like this class

  • @melissarocha1516
    @melissarocha1516 8 ปีที่แล้ว +17

    why is it n-1

    • @darwinyip9481
      @darwinyip9481 7 ปีที่แล้ว

      Melissa Rocha I have the same question

    • @mitchellwu22
      @mitchellwu22 7 ปีที่แล้ว

      now the reason why it is N-1 it is because the first problem he is dealing with only the sample, the equation used is N-1 at the bottom where as a population where if someone sampled everyone then it is divided by N only. In terms of why is sample N-1 that's just something the statisticians have used many years ago.

    • @korrinjohnson8992
      @korrinjohnson8992 7 ปีที่แล้ว +5

      I don't understand this explanation

    • @veiakas
      @veiakas 7 ปีที่แล้ว +10

      If you had the whole population of values, e.g. every single child in the world ("POPULATION"), then you would use N. Since we cannot realistically use the data from every single child in the world, we use a small SAMPLE from that population. It is basically a conventional agreement that since we use a SAMPLE as opposed to the whole POPULATION, then we will introduce an error. Thus N-1.

    • @AsgharKhan-bv2hc
      @AsgharKhan-bv2hc 7 ปีที่แล้ว +1

      n_1 is for sample and just n is for population

  • @tavuzzi6955
    @tavuzzi6955 6 ปีที่แล้ว

    Thank you for your video. It did help me a lot!

  • @omiseika4104
    @omiseika4104 3 ปีที่แล้ว

    Hi sir I would like to ask at 12:49 why 5.4? I calculate here and it shows that 5.29

  • @vannessavillarante3333
    @vannessavillarante3333 6 ปีที่แล้ว +2

    Where did you get the 2.6?
    Plss reply.

    • @m1glr4mrz
      @m1glr4mrz 6 ปีที่แล้ว +2

      27.2÷4=6.8
      Then Square Root of 6.8
      =2.607....

  • @naumanshabbirawan4232
    @naumanshabbirawan4232 5 ปีที่แล้ว

    thank you so much dear sir

  • @louiscayohwe
    @louiscayohwe 6 ปีที่แล้ว

    I LOVE YOUR WORK SIR

  • @balasiusshikongo2719
    @balasiusshikongo2719 4 ปีที่แล้ว

    Thank you so much Sir! Your video was so helpful, but my final answer after i put 27.2/4 in a square root, i did not get 2.607..., i got 1.303840481. Maybe you can help me on how did you get that answer! I will appreciate your help.

  • @MrOusmane23
    @MrOusmane23 ปีที่แล้ว

    he is just amazing

  • @vhype233
    @vhype233 2 ปีที่แล้ว

    Can you explain the root that 27.2/4 🤔

  • @michaelbarrionbalaoro5896
    @michaelbarrionbalaoro5896 3 ปีที่แล้ว

    How did you get 2.607?

  • @smartman9849
    @smartman9849 6 ปีที่แล้ว

    How we can calculate the percentage of 5 years old could excite in this class?

  • @fatimkakia5419
    @fatimkakia5419 2 ปีที่แล้ว

    Please how did u get this 27,2

  • @sherigeorge5874
    @sherigeorge5874 4 ปีที่แล้ว

    so when do we use N as a denominater, and when N-1??

    • @hlalelemohale7296
      @hlalelemohale7296 4 ปีที่แล้ว

      N=all data points(all population) given
      N-1= sample of all data points given.

  • @Masteridea101
    @Masteridea101 5 ปีที่แล้ว

    can someone explain the fundamental behind
    1) how this figure 2.6 is related to the initial series of 5 numbers?
    2) how this 5.4 is related to the same initial series?
    what is the usage of these two figures?

  • @oolasaverio3756
    @oolasaverio3756 5 ปีที่แล้ว

    please I need assistance for x bar when calculating mean, the symbol is missing in my computer

  • @jimvenniceatienda816
    @jimvenniceatienda816 6 ปีที่แล้ว

    ty for this video, i know how to get the variance and standard deviation

  • @0069yj
    @0069yj 5 ปีที่แล้ว

    Great work ... thank you

  • @osenisuliat5041
    @osenisuliat5041 4 ปีที่แล้ว

    Thanks so much, really helpful

  • @sunkarimourya5739
    @sunkarimourya5739 5 ปีที่แล้ว

    Yaaaa good sir and please make more videos on states sir it will help mee sir

  • @peterkacheka4402
    @peterkacheka4402 6 ปีที่แล้ว +1

    Am asking for the interpretation please

  • @maheshwaripanuganti5889
    @maheshwaripanuganti5889 3 ปีที่แล้ว

    Thank you so much

  • @wynceldupal-ag3347
    @wynceldupal-ag3347 5 ปีที่แล้ว

    Wherr do u get 5.76? I dont understand that portion

  • @MikhaelAhava
    @MikhaelAhava 5 ปีที่แล้ว

    I think this will help me thanks.

  • @tobiasadams1504
    @tobiasadams1504 5 ปีที่แล้ว

    Thank you kind sir. Blessings.

  • @sitinuradilahizzatimddaim2384
    @sitinuradilahizzatimddaim2384 7 ปีที่แล้ว +1

    Thank you sir.

  • @عبداللهغالبمحمدالتكروري
    @عبداللهغالبمحمدالتكروري 5 ปีที่แล้ว

    Thank you I'm understanding it

  • @amancabdi3035
    @amancabdi3035 5 ปีที่แล้ว

    thank you for helping us

  • @farrahkhan2160
    @farrahkhan2160 5 ปีที่แล้ว

    Nice easy to understand

  • @estherwanjiru6001
    @estherwanjiru6001 4 ปีที่แล้ว

    Thank you sir

  • @amancabdi3035
    @amancabdi3035 5 ปีที่แล้ว

    we need more

  • @mklibuto2879
    @mklibuto2879 7 ปีที่แล้ว +1

    OKAY, GET IT NOW!

  • @riniannregi6520
    @riniannregi6520 5 ปีที่แล้ว

    awesome easy way to understand. 😁

  • @leonardomartin4063
    @leonardomartin4063 4 ปีที่แล้ว

    How did u get 2.607? In standard deviation?

  • @kaleemkhankhan6702
    @kaleemkhankhan6702 3 ปีที่แล้ว

    Thanks

  • @solomontibebu7248
    @solomontibebu7248 4 ปีที่แล้ว

    best example

  • @nestianetadugna4071
    @nestianetadugna4071 5 ปีที่แล้ว +1

    hhhhhhh its funny im waching ma techer and he continues explanetion but am confiused every class i driming ur ma techer anywayes 10q sir

  • @abte3033
    @abte3033 6 ปีที่แล้ว +3

    why is n-1 no n?

  • @celinewalters66
    @celinewalters66 5 ปีที่แล้ว +1

    That's exactly how I learnt it

  • @stephnjesh563
    @stephnjesh563 6 ปีที่แล้ว +1

    Perfect

  • @johnijlambong1310
    @johnijlambong1310 3 ปีที่แล้ว

    standard deviation how?

  • @mikaela_reads
    @mikaela_reads 6 ปีที่แล้ว

    THANK YOU SIR 💜

  • @eghisamson56
    @eghisamson56 5 ปีที่แล้ว

    how the heck did you get the 2.607

  • @rangariraingonisa6896
    @rangariraingonisa6896 5 ปีที่แล้ว

    thank you for this video

  • @wysiwygjagiya4555
    @wysiwygjagiya4555 6 ปีที่แล้ว

    I dont understand how to find the squared of any nunber😔

  • @Animee2565
    @Animee2565 7 หลายเดือนก่อน

    Tysm

  • @Tarangini592
    @Tarangini592 5 ปีที่แล้ว

    Excellent

  • @angelanasto1068
    @angelanasto1068 6 ปีที่แล้ว

    Thank you so much !!

  • @obarapius1844
    @obarapius1844 3 ปีที่แล้ว

    good work

  • @aseelbaniissa2637
    @aseelbaniissa2637 6 ปีที่แล้ว

    How to send massege??

  • @shivampal6058
    @shivampal6058 7 ปีที่แล้ว

    At last I.e variance of population, you did some mistake please check once

  • @andersonprado1099
    @andersonprado1099 6 ปีที่แล้ว

    Thanks a million

  • @rahimdadrahimi6584
    @rahimdadrahimi6584 6 ปีที่แล้ว

    thank u so much sir

  • @pearlmasemola5421
    @pearlmasemola5421 ปีที่แล้ว

    You are amazing

  • @stupidstudent42
    @stupidstudent42 7 ปีที่แล้ว

    thank u so much

  • @sachinsiwatch2406
    @sachinsiwatch2406 6 ปีที่แล้ว +1

    Thanks sir

  • @monroemullinix5974
    @monroemullinix5974 2 ปีที่แล้ว

    Please stop suggesting that students use a calculator to do basic arithmetic like 4+6+8+4+10. I am working with a ten-year-old South Korean student and he could probably teach an American AP Statistics class.

  • @zahoorelahi5676
    @zahoorelahi5676 5 ปีที่แล้ว

    Manak veshlan ye kya hain... vide skp

  • @defaulter793
    @defaulter793 6 ปีที่แล้ว

    Tq very much sir

  • @anythinggoes3955
    @anythinggoes3955 3 ปีที่แล้ว

    Superb

  • @lovemendez5406
    @lovemendez5406 5 ปีที่แล้ว +3

    You lost me on the second part

    • @abubakaryunusa2604
      @abubakaryunusa2604 4 ปีที่แล้ว

      IT IS SIMPLE THE DIFFERENCE IS FROM THE FORMULA BUT THE ITEMS REMAIN THE SAME. YOU NEED TO SUM THE 27.2/5 NOT(BY 4) MY EMAIL IN CASE YUNUSAABU20GMAIL.COM