Variance and Standard Deviation: Sample and Population Practice Statistics Problems

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  • Опубліковано 4 вер 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*
    + Average (Mean, Mode, Midrange): • Mean, Mode, Median, Mi...
    + Variance and Standard Deviation: • Variance and Standard ...
    + Frequency Tables: • How to Create Frequenc...
    + Hypothesis Testing: • Point Estimates and Co...
    My goal is to help my students flourish in all aspects of their lives. Here are some recommended tools to help you find success.
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    The videos I post on UA-cam are primarily for my own college students, so I usually do not have time to respond to UA-cam comments. But, I'll do my best to respond when I can.

КОМЕНТАРІ • 254

  • @Dee-ye2dk
    @Dee-ye2dk 5 років тому +41

    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 UA-cam. Thank you for this video, currently taking stats in college.

  • @fernandomaron3498
    @fernandomaron3498 6 років тому +280

    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 років тому +1

      That's so true

    • @jasontutorials4809
      @jasontutorials4809 6 років тому +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 років тому +1

      I agree with you

    • @KK-yt8qw
      @KK-yt8qw 5 років тому +1

      Stephen Kiama e

    • @sirhilmohamed1193
      @sirhilmohamed1193 4 роки тому +1

      I seconded you.

  • @sayedalihaider7307
    @sayedalihaider7307 2 роки тому +7

    How hard could've it been for our teacher if he had just explained it this simple?! Thank you so much, man!

  • @hlalelemohale7296
    @hlalelemohale7296 4 роки тому +6

    Thanks, from South Africa here sir! I have been struggling to know, when to use denominator (n-1) or 'n', you explained so clearer than cristal. Thanks now I have peace of mind, you the bosssss!!

  • @AndrewMcNeillMusic
    @AndrewMcNeillMusic 6 років тому +17

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

  • @angelicaibanez5327
    @angelicaibanez5327 4 роки тому +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 роки тому +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!

  • @GrimFemme
    @GrimFemme 7 років тому +58

    You just saved my grade. Thank you.

  • @elesahefner9155
    @elesahefner9155 4 роки тому +2

    Thank you soooooo much!! I spent a week trying to understand my online stats class and watched this video 1x and now understand perfectly. YOU'RE AMAZING!!!

  • @dennisecallejas7185
    @dennisecallejas7185 7 років тому +2

    ive been having a hard time understanding standard deviation and variance and am more of a hands on person when it comes to learning. Thank you very much this helped A LOT !

  • @hanesmitter1469
    @hanesmitter1469 5 років тому +8

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

  • @tamaraseid7413
    @tamaraseid7413 6 років тому +2

    I think this calculation is correct for population, but here since we have the sample of numbers so the denominator in the formula is supposed to be not n, but n-1 . Thank you for clear explanation.

  • @elirivera8880
    @elirivera8880 3 роки тому

    Wow ! Great explanation.... I am currently taking an online class and read the book and had no idea because the formula was driving me crazy! Thank you!

  • @lovemendez5406
    @lovemendez5406 4 роки тому +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 роки тому

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

  • @linetgachiuki3078
    @linetgachiuki3078 4 роки тому +6

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

    • @statisticstuber6110
      @statisticstuber6110 3 роки тому

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

  • @enteryunion1673
    @enteryunion1673 3 роки тому

    My math teacher is not good as u sir simple yet easy to follow and understand each steps of the way.. thank u ...save. A lot of time and brain ...energy. .

  • @af5104
    @af5104 2 роки тому

    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.

  • @mbangetaheteng3419
    @mbangetaheteng3419 5 років тому

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

  • @nurulainnajwasuhaimai4418
    @nurulainnajwasuhaimai4418 3 роки тому

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

  • @ninoelcastro2905
    @ninoelcastro2905 6 років тому +8

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

    • @lindseyhendrix2405
      @lindseyhendrix2405 4 роки тому

      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 😂😂

  • @Elviskiol-do7dy
    @Elviskiol-do7dy 2 місяці тому

    This explanation helps me understand very well 🙏🙏. Thank you sir🤝🤝

  • @gedeonkibambe9930
    @gedeonkibambe9930 2 місяці тому

    I know that you made that video since long time, but I just wanted to say thank you for that, thanks a lot;)

  • @analync.torres625
    @analync.torres625 2 роки тому +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☺️🙏🏻

  • @user-kb6hl4kg6h
    @user-kb6hl4kg6h 10 місяців тому

    Thank you i learn something that I didn't know before currently am from gambella region in Ethiopia county of Africa continent

  • @joyceguevara8302
    @joyceguevara8302 5 років тому

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

  • @MathsclassKI
    @MathsclassKI 5 років тому +1

    very clear
    good teaching

  • @nosiphosimelane5736
    @nosiphosimelane5736 2 роки тому

    I really needed this lesson before my STAs exam

  • @tammymcfee9325
    @tammymcfee9325 5 років тому +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 4 роки тому

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

  • @selynamcgowan9110
    @selynamcgowan9110 4 роки тому

    Help: 4. Bone density can be measured using a DEXA test. Bone density for a 25-year-old woman is normally-distributed with a mean of 956 g/cm2 and a standard deviation of 5.52 g/cm2. Let X be the bone density of a randomly selected 25-year-old woman in g/cm2.

  • @ahamedakmal7104
    @ahamedakmal7104 7 років тому +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?

  • @koba3174
    @koba3174 Рік тому +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 роки тому

    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?

  • @Name_idkk
    @Name_idkk 3 роки тому

    Thank you so much. This really helped with my stat finals in a day.

  • @lailauthman5454
    @lailauthman5454 5 років тому +2

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

  • @afiacodlin3739
    @afiacodlin3739 Рік тому

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

  • @lekpjedits18
    @lekpjedits18 4 роки тому +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

  • @yogeshpareek181
    @yogeshpareek181 3 роки тому +1

    Realy great vedio sir thax for helping

  • @eugenejoseph6666
    @eugenejoseph6666 4 роки тому +1

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

  • @fabishkenya9263
    @fabishkenya9263 3 роки тому

    great video.At least i have understood the difference between population and sample standard deviation

  • @danizooo2129
    @danizooo2129 4 роки тому

    can you please make a video on how to solve problems in statistics and scientific method badly need it for my psychological statistics subject

  • @NoNamae0_0
    @NoNamae0_0 2 роки тому

    bro ur a lifesaver.

  • @minivantoirog2089
    @minivantoirog2089 4 роки тому +1

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

  • @nayararenteria
    @nayararenteria 5 років тому

    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 ??

  • @mindy8331
    @mindy8331 2 роки тому

    Thank you for this video. Very helpful.

  • @odogwuhenry
    @odogwuhenry 2 роки тому

    I like your explanation. But I have one problem. Before checking out your video, I had just read a section of a book explaining standard deviation. But in the book's formula, there was no (n-1) it was just (n) and the sigma sign was written in the formula. what is the "1" for and why? It's really confusing

  • @tarikuamante4546
    @tarikuamante4546 4 роки тому

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

  • @smileyshine1163
    @smileyshine1163 3 місяці тому

    Super explanation
    Thank you sir

  • @mrhq3153
    @mrhq3153 4 роки тому

    Good explaination.

  • @charlottewaller6269
    @charlottewaller6269 4 роки тому

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

  • @amanjasrotia8749
    @amanjasrotia8749 3 роки тому

    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

  • @alejandrabradley8180
    @alejandrabradley8180 6 років тому +1

    Thank you for the help, great example!!

  • @tavuzzi6955
    @tavuzzi6955 6 років тому

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

  • @hlengiwengutha7844
    @hlengiwengutha7844 3 роки тому

    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?

  • @elividal7202
    @elividal7202 6 років тому +1

    super clear explanation

  • @prateeksrivastava64
    @prateeksrivastava64 3 роки тому

    I have a query. why sample std. deviation and population std. deviation formula are differ ? please clear me .

  • @LSAMace
    @LSAMace 5 років тому +1

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

  • @abinandankumar5283
    @abinandankumar5283 4 роки тому

    Why n-1 for sample to calculate Standard deviation?

  • @Jay-g4b4g
    @Jay-g4b4g 5 днів тому

    Where did the minus 1 come from? At 3:38 and at 7:06.

  • @ajayjackson7727
    @ajayjackson7727 4 роки тому

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

  • @n.g.6442
    @n.g.6442 4 роки тому

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

  • @----cp6xy
    @----cp6xy Рік тому

    This video was so helpful 🙌

  • @nakasisara4400
    @nakasisara4400 5 років тому +2

    I just like this class

  • @naumanshabbirawan4232
    @naumanshabbirawan4232 4 роки тому

    thank you so much dear sir

  • @NaturelySpace
    @NaturelySpace 2 роки тому +1

    Thank you

  • @oolasaverio3756
    @oolasaverio3756 5 років тому

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

  • @louiscayohwe
    @louiscayohwe 6 років тому

    I LOVE YOUR WORK SIR

  • @analync.torres625
    @analync.torres625 2 роки тому

    Where did you get the 6.8yrs because the square root of 2.607 is not the same.

  • @balasiusshikongo2719
    @balasiusshikongo2719 4 роки тому

    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.

  • @Masteridea101
    @Masteridea101 5 років тому

    undestand that, the teahcer has explained the formula.. but how is this related to the initial series??

  • @osenisuliat5041
    @osenisuliat5041 4 роки тому

    Thanks so much, really helpful

  • @MrOusmane23
    @MrOusmane23 Рік тому

    he is just amazing

  • @0069yj
    @0069yj 5 років тому

    Great work ... thank you

  • @penguin2106
    @penguin2106 7 років тому

    thank you so much. it really helps.

  • @omiseika4104
    @omiseika4104 3 роки тому

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

  • @Masteridea101
    @Masteridea101 5 років тому

    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?

  • @Domestikos88
    @Domestikos88 4 роки тому +1

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

  • @nomarseyer4551
    @nomarseyer4551 5 років тому

    simply done. Thank you

  • @winennwetwipes4462
    @winennwetwipes4462 5 років тому +15

    is this tony stark?

  • @MikhaelAhava
    @MikhaelAhava 5 років тому

    I think this will help me thanks.

  • @jimvenniceatienda816
    @jimvenniceatienda816 6 років тому

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

  • @dasbodh5799
    @dasbodh5799 3 роки тому

    Nice explanation 👍👍

  • @riniannregi6520
    @riniannregi6520 5 років тому

    awesome easy way to understand. 😁

  • @melissarocha1516
    @melissarocha1516 7 років тому +17

    why is it n-1

    • @darwinyip9481
      @darwinyip9481 7 років тому

      Melissa Rocha I have the same question

    • @mitchellwu22
      @mitchellwu22 7 років тому

      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 років тому +5

      I don't understand this explanation

    • @veiakas
      @veiakas 7 років тому +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 років тому +1

      n_1 is for sample and just n is for population

  • @vannessavillarante3333
    @vannessavillarante3333 6 років тому +2

    Where did you get the 2.6?
    Plss reply.

    • @m1glr4mrz
      @m1glr4mrz 6 років тому +2

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

  • @tobiasadams1504
    @tobiasadams1504 4 роки тому

    Thank you kind sir. Blessings.

  • @smartman9849
    @smartman9849 5 років тому

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

  • @maheshwaripanuganti5889
    @maheshwaripanuganti5889 3 роки тому

    Thank you so much

  • @toltap267
    @toltap267 5 років тому

    thank for your really thinking

  • @user-fb3gb2vk4e
    @user-fb3gb2vk4e 4 роки тому

    Thank you I'm understanding it

  • @lifewithcharity8573
    @lifewithcharity8573 7 років тому +23

    I think I just became a stastician

  • @farrahkhan2160
    @farrahkhan2160 5 років тому

    Nice easy to understand

  • @amancabdi3035
    @amancabdi3035 5 років тому

    thank you for helping us

  • @nazmulislam3580
    @nazmulislam3580 5 років тому

    i like your classes
    very much

  • @sunkarimourya5739
    @sunkarimourya5739 5 років тому

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

  • @peterkacheka4402
    @peterkacheka4402 5 років тому +1

    Am asking for the interpretation please

  • @jonabaldo8657
    @jonabaldo8657 6 років тому

    This helps me a lot. Thank you very much..
    Our professor when he explained about this, he always advise us to search in google. Now I can say he is wrong, use you tube to learn statistics hahahahaha

  • @buchayjames6948
    @buchayjames6948 5 років тому

    Thanks that's was really great

  • @taranaali6025
    @taranaali6025 5 років тому

    Good explanation

  • @nestianetadugna4071
    @nestianetadugna4071 5 років тому +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

  • @rangariraingonisa6896
    @rangariraingonisa6896 5 років тому

    thank you for this video