KZhead

How to find the variance and standard deviation from a set of data

Brian McLogan
2016 ж. 3 Нау.
653 183 Рет қаралды
Жүктеу

👉 Learn how to find the variance and standard deviation of a set of data. The variance of a set of data is a measure of spread/variation which measures how far a set of numbers is spread out from their average value.
The standard deviation of a set of data is a measure of spread/variation which measures how the set of numbers is spread out from each other. The standard deviation is given by the square root of the variance.
To find the variance, we first calculate the mean of the set of data. Next, we subtract the mean from each number in the data set and square the results. Then, we take the average of the squared differences.
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Organized Videos:
✅Statistics
• Statistics
✅Percentiles in Statistics
• Percentiles in Statistics
✅Variance and Standard Deviation
• Variance and Standard ...
✅Normal Curve Probability
• Normal Curve Probability
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👨‍👩‍👧‍👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: www.freemathvideos.com/about-me/
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Пікірлер

  • When you realize you can learn and learn a whole semester semester of math in a day of watching KZhead.

    @eian2k601@eian2k6014 жыл бұрын

    • i learn more here than the 30 minutes in class

      @crunchysoup8515@crunchysoup85154 жыл бұрын

    • true. i understand lessons here than my own math teacher discussing idk words in front of the class.

      @sizuchii@sizuchii3 жыл бұрын

    • You are absolutely right.

      @ygmsniper@ygmsniper3 жыл бұрын

    • Had summer class because of this. Was still confused in summer class. This helped. Then 2 weeks after summer class, I’m back in school. Which is bullshit.

      @thelordnaevis4946@thelordnaevis49462 жыл бұрын

    • Try an hour before an exam

      @eenchantress5113@eenchantress51132 жыл бұрын

  • Richard getting called out like that smh

    @josiahcisneros2968@josiahcisneros29686 жыл бұрын

    • ohh Richard

      @brianmclogan@brianmclogan6 жыл бұрын

  • Richard, get back in your seat bro

    @CasualCrypt@CasualCrypt4 жыл бұрын

    • Fuckin Richard bro

      @luistamayo8666@luistamayo86663 жыл бұрын

    • That nigga never listens

      @101kleinke@101kleinke3 жыл бұрын

    • Lmao

      @texasxo2404@texasxo24043 жыл бұрын

  • Thanks to you I'm passing my online college statistics class!! The chart is a great idea !!!! Thank you!

    @thetravelingteacher4474@thetravelingteacher44744 жыл бұрын

  • As always great. He actually explains the problem that's why he's a good professor!

    @raymondsmith9886@raymondsmith98863 жыл бұрын

    • truth bro!

      @jessicacelineb.oliveros1439@jessicacelineb.oliveros1439 Жыл бұрын

    • When he explained it better than my math teacher

      @danieljoshua1926@danieljoshua19267 ай бұрын

  • I have enrolled in Sophomore level (University) statistics, just to drop it, like 4 times, because I knew, before the midterm, that I was not going to be able to pass it. I finally did, with a C. Not my best work. I am an A/B student. Years later, I am back in school for a second degree, and I am having to re-take statistics because the statistics I have credit for is "statistics/business majors" and now I am a pre-nursing student, so they are making me take regular statistics (not for business majors), which I think is ridiculous, considering its the same material, same book, same chapters are covered, but I digress. I had a melt down when I found out I would have to take this class again, especially as it is the last class I have to take to enter nursing school. If I had access to these videos way back when, I could have passed statistics the first time, with an A. I have a A in my class now, and am breezing through, with EASE. This class used to keep me up at night, stressed beyond belief. I am actually enjoying it now. It amazes me, the difference it makes, when you have a GOOD teacher. I cannot thank you enough for your time and effort put into this channel. You have saved me from a guaranteed ulcer.

    @PolskaBabii@PolskaBabii3 ай бұрын

  • this dude is the GOAT

    @kyleschwartz.@kyleschwartz.4 жыл бұрын

  • I couldn’t remember how to find the variance so I had to watch a video to refresh my memory. This video was very concise. Thank you.

    @nikkiej.5875@nikkiej.58753 күн бұрын

  • I learned all of this in just 8 minutes after it took me days to try to understand my statistics text book. Great videos !👏🏼👍🏼

    @michellezulema9422@michellezulema9422 Жыл бұрын

    • Same here!!

      @user-en5pr4iw4k@user-en5pr4iw4k8 ай бұрын

  • Thank you so much. You are an excellent teacher and glad this video is still around. I hope you have a whole lesson(s) on stats.

    @stevenayala-earayala3482@stevenayala-earayala34822 жыл бұрын

  • When I spent my day reading books but learned nothing so I swallowed my pride and watched youtube

    @stanleytarmielquilay8202@stanleytarmielquilay82023 жыл бұрын

    • Lol same here

      @vymae2008@vymae20083 жыл бұрын

    • Why would you need to swallow your pride lmfao

      @randomguy8228@randomguy82282 жыл бұрын

    • @@randomguy8228 because I thought i don't need help. Simple as that LOL

      @stanleytarmielquilay8202@stanleytarmielquilay82022 жыл бұрын

  • Do you have a playlist for statistics? I will like to watch all your statistics videos please. Your teaching style is amazing. Thanks in advance

    @adventurwithken412@adventurwithken4123 жыл бұрын

    • Thank you

      @theresadaily126@theresadaily126 Жыл бұрын

    • Yes!!

      @woolzem@woolzem Жыл бұрын

  • Taking college stats & your teaching is sooo helpful & I can actually understand the material. You are very passionate about statistics & it shows! Thanks:)

    @rachelturner5192@rachelturner51922 жыл бұрын

  • Wow, thank you so much for clarification of variances for me. I am currently finishing my masters degree and haven't take a statistics class. So this does explain the concept well. Thanks again!

    @yanglu8838@yanglu88382 жыл бұрын

  • This is perfect! Just what I needed !! Thank you .

    @jennybee6610@jennybee66104 жыл бұрын

  • For the variance, isn't the summation of (xi-xbar) squared divided by n-1 rather than n?

    @gabebarbieri194@gabebarbieri1942 жыл бұрын

    • yes, that is why i am a bit confused.. i calculated it and devided 86.9 / 9 = 9.65 the variance, for standard deviation it is = 3.10

      @hmode1533@hmode1533 Жыл бұрын

    • Maybe he got confused but it is supposed to be n-1

      @jehnelagnesmandolado5348@jehnelagnesmandolado534811 ай бұрын

  • I am so happy that John Fetterman teaches math :) Couldn't make it through school without you,

    @shadysh8s@shadysh8s6 ай бұрын

  • When you wished that this guy could have been my math teacher when I was in school. Thanks for explaining everything so clearly. Getting ready to take my Math 4-8 certification exam -- I finally get it! Thank you!

    @Mrs.Thomas48@Mrs.Thomas482 жыл бұрын

  • love you sir, I am from india. your teaching style is so nice

    @rajathalder3854@rajathalder38544 жыл бұрын

  • Richard gettin called out LOOL

    @TheEPICOSITY143@TheEPICOSITY1434 жыл бұрын

  • Very thorough! Wished you were my previous stats prof. Explained well.

    @curateitgorl@curateitgorl2 жыл бұрын

  • You are so brilliant! I have learned more from your videos than my actual classes and text books. Thank you so much!

    @natashaplatt4623@natashaplatt46233 жыл бұрын

  • Thank you so much for this video! If it wasn't for this video I would have struggled hard with my statistics test.

    @destinylierman5395@destinylierman53953 жыл бұрын

  • I was about to question why he got the incorrect SD, yet I was glad it was raised by the student lol

    @andrewlira1537@andrewlira1537 Жыл бұрын

  • Thank you so much for this valuable help. This video saved me in my master's program.

    @zalrawi80@zalrawi803 жыл бұрын

  • Omg, thank you soooooooooo much, you explain it very well!!!!

    @gritworth805@gritworth8056 жыл бұрын

    • happy to be able to help!

      @brianmclogan@brianmclogan6 жыл бұрын

  • Thank you, I am in an online practical math class and this video is helping me!!

    @maroondragon5316@maroondragon53162 жыл бұрын

  • I know this video is old but it just saved me I am horrible at math never really understood much in it but the way you did this step by step is easy terms was so helpful and helped me understand what I was actually doing and had to do so thank you!

    @jazzscott9850@jazzscott98503 жыл бұрын

  • I got confused about the square root of 8.69=9.32, I thought my answer is wrong, thanks to the guy who noticed the answer. Anyways thank you, Mr. Brian, your videos are a big help to me.

    @kei7803@kei78033 жыл бұрын

  • Maraming salamat po! ❤️ Today is our exam and it was so difficult for me because I'm not really into Math 😭 then finally i understand this way of solving than the examples in textbook. THANKYOU Prof!❤️

    @jovanmaefajardo@jovanmaefajardo Жыл бұрын

  • It should divided by n-1

    @johnyepowamulolo5489@johnyepowamulolo54894 жыл бұрын

    • yeah youre right. I went to go put the answer in mhy Homework and it told me n-1 and also 8.69 divided by 10 is 0.869

      @stephaniesepko6843@stephaniesepko68434 жыл бұрын

    • @@stephaniesepko6843 it's 86.9/10, not 8.69. 8.69 is the variance.

      @raspberryzpower@raspberryzpower4 жыл бұрын

    • Yh u are correct

      @mariamasannymohammed16@mariamasannymohammed164 жыл бұрын

    • That’s only for a sample variance, he’s doing a population variance, he’s very correct

      @user-wj8dh3cg4w@user-wj8dh3cg4w4 жыл бұрын

    • He is right because he is dealing with total population which is n=10 and we use n-1 where we are drawing sample from the population. For more brief lets take as example If we want to measure height of one class of 15 students and we are taking all the students so it means we are taking whole population (Class of 15 students). Here we use 'n' not 'n-1'. If we want to measure height of one all students in a university which are 1500 students and we are taking only 15 students so it means we are taking sample from whole population. Here we use 'n-1' not 'n'. Hope explanation will assist you.

      @mursaleenakhtar970@mursaleenakhtar9704 жыл бұрын

  • you are the best teachers on KZhead that I have ever came across who solves problems step ny step

    @CAROLYNN14100@CAROLYNN14100 Жыл бұрын

  • Just wanted to say THANK YOU. You are a good teacher,

    @adventurwithken412@adventurwithken4123 жыл бұрын

    • now that you said it i got confused

      @user-sk3nf2vv4p@user-sk3nf2vv4p2 жыл бұрын

  • Thank you..this helped alot!

    @nicolehamilton8705@nicolehamilton87054 жыл бұрын

  • Thank You!

    @melissamarquez5517@melissamarquez55175 жыл бұрын

  • Been a fan of your channel for a long time now and you have helped me once again, thank you so much.

    @falseking7197@falseking7197 Жыл бұрын

  • Thanks you are very good at explaining your steps and using new methods! Your awesome!

    @abrahamhoskinsx4698@abrahamhoskinsx46986 жыл бұрын

    • you are very welcome! happy to be able to help

      @brianmclogan@brianmclogan6 жыл бұрын

    • I am confused I thought it was n-1 at bottom instead just 'n" for the variance. Like devide by n-1

      @maden8154@maden81545 ай бұрын

  • This upload helped me a lot, thanks Brian!

    @liquiiiddd@liquiiiddd2 жыл бұрын

  • this guy just gives off the perfect math teacher vibes, I can't explain it. thank you so much!! videos are always so helpful

    @ZeroTNitrous@ZeroTNitrous2 жыл бұрын

    • Some teachers have skill issues

      @nadinealahmad2942@nadinealahmad29426 ай бұрын

  • Thank you for this

    @JesusChrist-py9rx@JesusChrist-py9rx5 жыл бұрын

  • thank you! taught me more than a powerpoint that my professor gave me!

    @attach8860@attach88603 жыл бұрын

  • good example. thanks

    @teedee1167@teedee11674 жыл бұрын

  • Thank you, very helpful

    @ravendell3015@ravendell30154 жыл бұрын

  • omgg i was so confused at the end and kept going back just to find out 30 min later it was wrong😭

    @janethtorres07@janethtorres073 жыл бұрын

    • Litterally 🤣 i was sitting there like.... 🤨 wayment

      @jaidendavila7701@jaidendavila77013 жыл бұрын

    • Hahahha ify

      @renzandrewdelacruz7666@renzandrewdelacruz76663 жыл бұрын

    • IKRRRRRRRRRRRRR

      @roycejazontesorero9097@roycejazontesorero90973 жыл бұрын

    • I was about to go back at the previous minutes of the video, but decided to just finish the whole lesson. Thank goodness it was corrected just a few seconds later.

      @ygmsniper@ygmsniper3 жыл бұрын

  • Super helpful, thanks!

    @alexis5784@alexis57843 жыл бұрын

  • 2:07 nice

    @kurt9722@kurt97224 жыл бұрын

    • Nice

      @ardagurbuz6924@ardagurbuz69244 жыл бұрын

    • Nice

      @inexperiencedtrader6941@inexperiencedtrader69414 жыл бұрын

    • Nice

      @ellatinonation@ellatinonation4 жыл бұрын

    • haha

      @gosu5850@gosu58503 жыл бұрын

  • a great help, thanks!

    @theresejarquio7039@theresejarquio70394 жыл бұрын

  • Math is easier if it is taught by a good teacher

    @Mia-cf9kj@Mia-cf9kj3 жыл бұрын

  • Thanks for sharing..it really helps..now that I am answering my assessment in statistics.

    @eledinaguarde3999@eledinaguarde3999 Жыл бұрын

  • Thank you so much for the wonderful content!

    @mathhelpmadeeasy@mathhelpmadeeasy2 жыл бұрын

  • Helpful 5 minutes before my algebra final.

    @phantomfreeman283@phantomfreeman2834 жыл бұрын

  • thank you!

    @anabelambriz3251@anabelambriz32514 жыл бұрын

  • Thank you so much for uploading this!

    @TheJessaMattson@TheJessaMattson Жыл бұрын

  • This helped so much🙏🏾🙏🏾Thanks!

    @lifewithstanya8742@lifewithstanya87423 жыл бұрын

  • Thank you so much for this!

    @necholsmangubat2108@necholsmangubat21082 жыл бұрын

  • U'r the best it's simple, understandable and helpful .🙏

    @felixhope-vu3jy@felixhope-vu3jy Жыл бұрын

  • very help full thank you

    @mrjhon6383@mrjhon63834 жыл бұрын

  • YOU are amazing!!! Do you have more videos?? You just taught me in 8 minutes what Ive been struggling to understand in one whole week.. Stats is my very last class standing between me and my BA and Ive been putting it off for a whole year bc every time I sit to do my homework, I cry.

    @brandisilva8911@brandisilva8911 Жыл бұрын

    • I have over 12,000

      @brianmclogan@brianmclogan Жыл бұрын

  • awwsome teaching method.....thankuuu sir

    @shakirhassan6027@shakirhassan60274 жыл бұрын

  • well this is the second time this channel has helped me with my college math work.

    @robjones2265@robjones226511 ай бұрын

  • Thank you!!!

    @eugenaharley7103@eugenaharley71034 жыл бұрын

  • I paused ur video and getting root wrong.. then i started ur video i got the same answer in the laste bcz u took wrong root by mistake.... Sir vry nice teaching method....👍👍👍

    @maneetwalia2721@maneetwalia27214 жыл бұрын

  • Thank you so much!

    @bozenavirsylo4389@bozenavirsylo43893 жыл бұрын

  • Can't believe an hour and a half of STATS class and I was still so loss, just for an 8 minute video to make me understand lmao.

    @Obs1d14n.Bl4de@Obs1d14n.Bl4de Жыл бұрын

  • thank you so much for the help!

    @Sirjacome48@Sirjacome484 жыл бұрын

  • You'ee a savior ◉‿◉ I learned more in 8 mintues than 1 sem hahahahahahahahahah

    @TheFoolishJourney@TheFoolishJourney3 жыл бұрын

  • This was useful but the for the standard deviations it n-1 and not just n

    @josielaure8987@josielaure89873 жыл бұрын

    • Thats for sample variation s²

      @R_shah@R_shah3 жыл бұрын

  • Thank youu! i finally undestand how to get the variance have a good day!

    @seriii2805@seriii28052 жыл бұрын

  • Thank you for making me understand gracious

    @solomonduku2391@solomonduku23913 жыл бұрын

  • love u bro i believe that with the power of Mr bryan mclogan I can pass my statistics quiz today Amen thank you bro

    @jessicacelineb.oliveros1439@jessicacelineb.oliveros1439 Жыл бұрын

    • i second that! we love you 🧔‍♀- ap stats eia

      @jessicacelineb.oliveros1439@jessicacelineb.oliveros1439 Жыл бұрын

  • I’m dead inside from my statistics class

    @Anadeldr1luv@Anadeldr1luv4 жыл бұрын

  • the way he wrote 66 was amazing 2:09

    @yazenzei8894@yazenzei88943 жыл бұрын

  • THANKYOU Sir 🙌

    @alfalyn@alfalyn2 жыл бұрын

  • Good teacher👏🏽

    @AmandaGabriel876@AmandaGabriel8763 жыл бұрын

  • Can you explain why the MEAN is 66.1 and not 66? Where did the .1 come from? Thank you

    @that_girlbob@that_girlbob4 жыл бұрын

    • I'm sure you know now as this is 3 years old but the mean is average and I'm pretty sure you were thinking of median

      @connorclark3325@connorclark33258 ай бұрын

  • This guy is a legend!

    @mr.burgess2575@mr.burgess2575 Жыл бұрын

  • Thanks great help.

    @soccerking3278@soccerking32783 жыл бұрын

  • Thank you sir ❤️

    @hasikarunanayaka9683@hasikarunanayaka96832 жыл бұрын

  • how do you ​ square the deviation from the mean and multiply it by the appropriate frequency.

    @kashifawan1817@kashifawan18172 жыл бұрын

  • I learned better here than my teacher explaining 40m straight

    @princelhinorheyamante2341@princelhinorheyamante2341 Жыл бұрын

    • Ouch happy to help

      @brianmclogan@brianmclogan Жыл бұрын

  • thanks man really thanks

    @alabriking@alabriking3 жыл бұрын

  • I have data for a newspaper published in 13 areas, 7,16,92,29,6,12,11,8,18,19,6,24,9 need to calculate (i) mean (ii) median (iii) standard deviation (iv) interquartile range (v) what type of data is this? Can please you assist with the calculations

    @lorrainecloete217@lorrainecloete2173 жыл бұрын

  • thank you for teaching me

    @alejandroresendez3498@alejandroresendez34982 жыл бұрын

  • Hi Brian. Just tried this method solving variance for nos: 8,8,9,12 ...and I got 2.68 for variance. Did I got the correct answer? Just checking if I did the right solution 😊😊😊

    @riovillanueva6787@riovillanueva67872 жыл бұрын

    • It is 👍

      @cheerup4566@cheerup4566 Жыл бұрын

  • WE LOVE MR MCLOGAN💯💯💯

    @WhereisNaz@WhereisNaz8 ай бұрын

  • Thank you sir!

    @yvettehernandez9038@yvettehernandez9038 Жыл бұрын

  • I know I'm very late to the party just reviewing standard deviation what exactly did you do at 6:46 I didnt quite catch that

    @duffinthemuffin5792@duffinthemuffin57923 жыл бұрын

    • Yeah me too

      @sblackartemis5376@sblackartemis53763 жыл бұрын

  • Wow ❤️ amazing sir

    @AbdUllah-qv4dk@AbdUllah-qv4dk3 жыл бұрын

  • So, sir the mean doesn't need to be always whole number. The mean is accepted with a decimal point, right?

    @shanemay6090@shanemay60902 жыл бұрын

  • Practicing these 6s.

    @judsonprophete9475@judsonprophete94753 жыл бұрын

  • When do you use n-1 for variance to divide? Bc I divided by n for my work, but my teacher told me dividing by n-1 is the correct way to solve

    @daniyatennant1574@daniyatennant15749 ай бұрын

    • This is what I am confused about now did you ever figure out the proper way

      @mssaxon85@mssaxon857 ай бұрын

    • For sample values you use n-1 and n for population values

      @sellahyekha4349@sellahyekha43496 ай бұрын

    • w reply@@sellahyekha4349

      @bryanwilson4695@bryanwilson46955 ай бұрын

  • You are better than my prof.

    @marcogush4376@marcogush43763 жыл бұрын

  • freaking Nathan man, guy cracks me up

    @cjwilliams5195@cjwilliams5195 Жыл бұрын

  • MR BRIAN I LIKE YOU FROM PAKISTAN, YOU ARE ALWAYS HELPFUL TO ME

    @aamirabdulsalam@aamirabdulsalam2 жыл бұрын

  • Without you, I wouldn't be very successful in my schooling.

    @ComeHereGreatness@ComeHereGreatness2 жыл бұрын

  • i hope all the teachers is like him on how he discuss and explain its just like smooth as butt of the baby

    @fakeemcee9985@fakeemcee99853 жыл бұрын

  • thank you.. very descriprive

    @97map@97map2 жыл бұрын

    • You are very welcome!

      @brianmclogan@brianmclogan2 жыл бұрын

  • Ty you saved my life! Panicked night before a probability test

    @eccentric_creampuff4983@eccentric_creampuff49833 жыл бұрын

  • sir how to take the square root off the value?

    @rojohn3159@rojohn31594 жыл бұрын

  • thanks sir!

    @arizaali7113@arizaali71133 жыл бұрын
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