Calculating the Mean, Variance and Standard Deviation, Clearly Explained!!!

[@statquest]

Support StatQuest by buying my books The StatQuest Illustrated Guide to Machine Learning, The StatQuest Illustrated Guide to Neural Networks and AI, or a Study Guide or Merch!!! statquest.org/statquest-store/

[@adityaparab7802]

can you please make notes on fundamental of statistics

[@statquest]

@@adityaparab7802 A lot of these topics are already covered in my book.

[@davidbrown2806]

I have a Masters Degree in Economics, and with all the statistics lectures I have attended, I have never seen such a sensible and clear explanation of the topic.

[@statquest]

Thanks!

[@Scrungge]

Gives me confidence that I'm not the only one needing a refresher in the last year of my bachelor.

[@hightttech]

@@Scrungge : 95% confidence?? 😃

[@ExceptionalPOV]

This is the very first time I am commenting on my you tube career. We are very much honored to have you here. Thank you for your contribution to make this world a little more better place.

[@statquest]

Thank you very much!

[@devianttt94]

Discovering this channel felt like I struck gold. Thanks for the awesome content!

[@statquest]

Thank you!

[@sloshy1840]

This has to be the most ADHD friendly math content I've ever come across!!! This is so brilliant and fun!

[@statquest]

Thanks!

[@darkreaper4990]

Yeah, I have adhd too and was thinking the same 😂 it also helps that these videos explain the topics in a way that feels intuitive.

[@vimalanatarajan9227]

Happy to have found your channel.. Thank you so much for all the hardwork you put in to help people...

[@statquest]

Thank you! :)

[@anupkodlekere3633]

This guy is just great. As soon as I wonder about something, he comes up with a Note and says the exact same thing holy shit

[@statquest]

Awesome! :)

[@juan.jose.111]

I'm spanish spoken but somehow I truly note that great sense of humor you have.... my first option to learn statistics topics is this channel. greetings

[@NinjanirA]

It's really sweet how you guys make songs for really boring/difficult/important topics and make it so fun! 😁 Thanks a lot!!

[@statquest]

Thanks! :)

[@emmaxu2001]

As someone who tries to figure out the concepts but often put off by the math formulas, your channel made it so simple and easy to understand!

[@statquest]

Thanks!

[@zeuspolancosalgado3385]

Your KZbin channel carried me through Probability & Statistics and Machine Learning

[@statquest]

bam!

[@aparnajoshi2433]

This is just amazing. I am going through a data science course and I have been coming back to this channel to strengthen my understanding of several basic concepts. Thank you so much for making these videos. Also, you sing well :P

[@statquest]

Wow! Thank you very much! :)

[@shrutimishra5596]

Which course..actually m also thinking of taking one it would be a great help if u ans my query

[@econsh]

This is the best-presented course I have ever seen.

[@statquest]

Thank you!

[@jacklee3335]

Josh you are a true superhero, I’ve recently graduated in Physics and I’ve never had a more intuitive understanding of Statistics than I have since watching your videos.

[@statquest]

Wow, thanks!

[@MimicIsaac]

Amazing, I became a stan at 5:36. These videos are always aware of the context in which we use these stats & methods.

[@statquest]

Thank you!

[@CopyKitties]

Thank you so much for this! I am in AP Stats, and I was confused on the difference between standard deviation and mean. Not only did it explain that, but it also cleared up my confusion on variance! Also, it was entertaining! Thank you so much! If I ever have trouble with math again, you’re the first channel I’ll turn to!

[@statquest]

I'm glad my video was helpful! :)

[@lucia_is_loading...]

I am in middle school doing a sociological project for a science fair. Thanks for making statistics so easy to understand!

[@statquest]

Happy to help!

[@rodrigogs9793]

This is probably the very best video about variance, standard deviation I've seen. It's great explanation

[@statquest]

Thank you!

[@edwardgrigoryan3982]

Thought I knew the basics well, but I'm truly mastering them now as I go through your channel. Thank you!

[@statquest]

I'm glad my videos are helpful! :)

[@baaghi3288]

This channel is literally gold for math lovers

[@statquest]

Thanks!

[@ritshpatidar]

I wasted my precious time on Khan Academy, Wikipedia, and Stackexchange to understand just normal distribution fully.Thank you so much for explaining it in 2 videos.

[@statquest]

Glad it helped!

[@lidiyapriyadarsinik2815]

These videos make stuff so simple and easy, I relax and get un-depressed. It's like meditation. Thank you.

[@statquest]

Glad you like them!

[@supriyamanna715]

if I am not wrong, you're a faculty at Netaji Subhas Engineering College at Kolkata? and obtained your degree from AP?

[@pedrodcthe1]

It's awesome when an explanation generates a question in my mind and the next step is the answer to that question. It happened in the end when I wondered which formula did the common softwares used for var and sd. Thank you for your videos! From Argentina

[@statquest]

Muchas gracias!!!

[@Terniedintorni]

You are the best statistic teacher. Ever!!!! thank you

[@statquest]

Thanks! :)

[@michelletran3025]

Simple is an art that requires you to truly understand what you are saying. Thank you, StatQuest!

[@statquest]

Thank you very much!

[@adrianzhang9508]

How come I only stumbled into this amazing channel just now???? Had my math teacher explained these terms/theories in such an easy and interesting way, I’d be working on building a rocket!

[@statquest]

Bam! :)

[@InfinitiCyberSolutions]

If only the math teachers I've had in the past taught the way you do, life would've been so much better. Just saying...

[@statquest]

:)

[@fairuzam1420]

@@statquest i like the way you say "BAM...!!!", And any other "sanguinis" stuffs. More jokes, more relax. Learning is fun gang...

[@antoniojperezcastro5013]

Agree. we need a calculus quest just like this one

[@jlcgu11]

Actually I give some credit to all past teachers. We understand better now because we've learnt a bit along the way, making things easier.

[@mathivananperiasamy]

If you would have been curious enough to learn, like you do now searching KZbin, in your school or college days, your math teachers would have been like Josh to you. Just saying

[@elinauf]

Fantastic explanation. Statistics does not seem like such a monster anymore. Thank You!

[@statquest]

Bam! :)

[@SuperGozookkk]

Wow,you are the best statistic and machine learning teacher.Thank you

[@statquest]

Thanks! :)

[@achannel9598]

instead of plugging in the numbers and calculating with no explanations of the formula like how my teachers did, you gave explanations such as why we had to square x - μ. Thanks!

[@statquest]

bam!

[@kajalraut4185]

You my dear are life saviour❤. Finally understanding the Statistics after spending 24 years on this earth. Thanks a lot and Keep up the good work 🤓.

[@statquest]

Thanks!

[@MrEstebanEscudero]

Great video! It really helps watching the images and colors along with arrows and text to better understand. I typed "variance and standard deviation" in the youtube search box and StatQuest popped up. I know the quality of your videos and that's enough reason to watch yours among others. I didn't need to look any further. Priceless info. Great teacher.

[@statquest]

Thank you very much!!! I'm really happy you like the videos. :)

[@MuhammadHassan-qj7do]

Outstanding and exceptional job... you are doing. Trillions of thanks and appreciation. Extremely pleased to have your channel.

[@statquest]

Thank you!

[@BoZhaoengineering]

These interpretations are clear and save time than read textbooks. Great works.

[@kandycane4751]

Man, I just love the way you did explain everything cuz boi I truly was struggling to understand it. YOU ARE DA BEST

[@statquest]

Glad it helped!

[@amaliavastarella3363]

Best channel for easy and brief yet very effective statistics lectures. Thank you for your work guys!

[@statquest]

Thank you!

[@manuelmeza4029]

Dude you're awesome, wish you the best in this life.

[@statquest]

Thank you!

[@vedantshirodkar]

Thank you for all your efforts. Each video is just right enough to provide you entire knowledge one needs.

[@statquest]

Thanks!

[@goktugmk]

You are great. Complex issues can be easily undertstandible by your videos. Thanks for these all videos.

[@statquest]

Thank you! :)

[@suman-by7gt]

Wow wish I had had the good fortune of your teaching during my academics. However thank you for the wonderful n easy explanation... And thoroughly enjoyable

[@statquest]

Wow, thank you!

[@_Chafia]

Merci infiniment Dr Starmer... vous êtes le meilleur à expliquer des stats... et les notions de base sont très importantes.. je vous félicite pour le choix diversifié des thématiques 👍 Best regards Sir :)

[@statquest]

Merci!!! :)

[@TriedTastedJourney]

The best teacher ever! Thank you

[@statquest]

Thank you! 😃

[@LukePuplett]

I was thinking, "I often see things squared like this, and it often doesn't seem like it would make a difference to the outcome, I wonder why they do it?" No sooner had I thought it, you explained why so clearly :-D Bravo, sir.

[@statquest]

bam! :)

[@TheSunshinew]

I came here for Josh's music

[@statquest]

You have very good taste in silly songs! :)

[@curiousronak]

Thank you for making such an excellent series for beginners. Your videos inspire to read more on the subject.

[@statquest]

Happy to hear that!

[@charlesnorvow]

Mr. Starmer, you are so brilliant! Thanks for your contribution! I just found your YT videos and they are fantastic. Please keep up with this great work!

[@statquest]

Thank you very much! :)

[@guutinho19772]

You are the man Josh. Your videos are Golden.

[@statquest]

Thanks! :)

[@memeingthroughenglish7221]

Cool explanation of where the n-1 comes from! I never would have guessed that it is to compensate for using a sample, but that makes sense!

[@statquest]

Thank you! :)

[@castimann]

I still didn't see the video but I already gave you thumbs up for that super cool introduction.

[@statquest]

:)

[@florakettle]

I learned more from you Sir than my teachers

[@statquest]

THanks!

[@octour]

Thanks. As always - very simple, and useful! But still I can imagine, what work you've done with animation, and presenting that material.

[@statquest]

I dream of one day animating my StatQuests. Some concepts would really benefit from it.

[@chrisvaccaro229]

@@statquest I think you'd be surprised at how easy software like Adobe Animate are. Also, 3Brown1Blue just uses python to make his videos.

[@muffinman1]

Even as a phd this is useful and full of insight.

[@statquest]

Awesome! :)

[@matrixbegins]

I love your BAM!!!! and Terminology alerts :)

[@statquest]

Thank you!

[@nargessheydari9799]

Very simple, quick, and extremely infromative. Thanks!!

[@statquest]

Thanks! :)

[@acidic_ph]

You should have a radio show or podcast, perfect voice for that!

[@statquest]

Wow! Thank you very much! :)

[@pratik2886]

Excellent..Commendable...well done.. Just the kind of explanation I was looking for.

[@statquest]

Thanks! :)

[@kumarvivek1866]

Thank you for explaining deviation in deep and I'm looking for such explaination cause in my college they told us to mug up whole formulas instead of making us understand where the formulas come from. Thank you From 🇮🇳

[@statquest]

Hooray! I'm glad that the video was helpful.

[@Bodybuilding-ref]

Amazing video, thank you so much for the work you do. One comment on variance: squaring the numerator not only ensures a positive value, it also gives outliers a higher weight! If we only wanted to ensure positivity, we could just use absolute value.

[@statquest]

That, and it makes the math easier, since the derivative of the square function is defined for all values (and the derivative of the absolute value function is not defined for 0.)

[@gabrielcasagrande9463]

Holy BAM! You make it so simple to understand!

[@statquest]

Hooray! :)

[@koushikkou2134]

This guy is a absolute legend

[@statquest]

Thanks! :)

[@navjotsingh2251]

Your statistics videos are helping me with my computational statistics module😄

[@statquest]

Awesome! Good luck! :)

[@CarrieBreeden-jx8fr]

Thanks!

[@statquest]

BAM! Thank you so much for supporting StatQuest! :)

[@mehedihasantushar1714]

At first i came here to concerntrate on =your statistics. But now a days i've fallen love with your intro music with ukulele. ;)

[@statquest]

Thanks! :)

[@mehedihasantushar1714]

@@statquest Welcome Sir! :)

[@mehedihasantushar1714]

It will be gratefully appreciated if you wish to connect with me on linkedIn Sir. :) I've a littile knowledge in the field of programming as an engineering student. :)

[@unpatel1]

Thank you for your clarification about n-1!

[@statquest]

Thank you!

[@rg1957]

Thanks a lot for these wonderful lectures.. I am so happy that I can follow the lectures with ease as if watching a movie... With all good music and BAM!!

[@statquest]

Bam! :)

[@vahidnajafzadeh4137]

all my life I have always been avoiding stats because I thought I was stupid and it was hard for me. now I realize my math and stat teachers were all stupid with zero interest in what they were teaching. thus wasting our precious childhood time and life. thanks for all these great tutorials 💚.

[@statquest]

Better late than never! :)

[@haneenidreesahmed7908]

Wow. Amazing. Thanks Josh! You're a gem!

[@statquest]

Wow, thanks!

[@shirasagi9390]

dude, this video is amazing, thank you so much. i have dyscalculia and struggled so much with these concepts because all the websites and videos i tried used complicated words and formulas, and i need the concept to be shown in pictures and examples...i love how you showed how to understand and apply the formula too, sounds crazy but in decades of learning it's the first time i actually understand how to use that ''sigma''. the Excel psa is also so useful, because i was about to use Excel for statistical analysis and didn't know that !

[@statquest]

I'm glad my videos are helpful! I'm a visual learner, so I try to do everything with pictures - I'm that what works for me helps you too. :)

[@shivanshjayara6372]

U R GOD in explaining things which are so much difficult

[@statquest]

Thanks!

[@drewfrench8784]

Thank goodness for you sir. The class I am taking is like " So. You now know how to calculate a mean. Please find the p-value for this sample population in hieroglyphics using Python."

[@statquest]

Bam! :)

[@tonyle876]

thank you Mr. Starmer very much, wish my ML lecturer taught me like this .... and not just toss fancy formulas and words (variance, deviation, ....) onto my face everytime ..... it`s not so hard finally^ just needs to be explained well, in understandable way .....

[@statquest]

Hooray! I'm glad my videos are helpful! :)

[@vladimirbosinceanu5778]

These are the best. A genuine thank you, sir!

[@statquest]

Thank you! :)

[@AndrewSitholeB]

wow this was so good....i really enjoyed the time cause it was very clear

[@statquest]

Awesome, thank you!

[@MrAdhito]

Your the best Josh !!, Thank you for your hardwork and effort in creating your videos !!

[@statquest]

Thank you very much! :)

[@Toirtapable]

greetings form germany. U helped me a lot :)

[@statquest]

Glad to hear that!

[@dsagman]

I am unreasonably excited for the “beep boop” of the algebra.

[@statquest]

That's awesome! BAM! :)

[@adilrasheed]

Im currently pursuing masters in machine learning and my probability professor suggested this channel. It’s really fun and love the music for sure and not to forget dam!by Josh

[@statquest]

Bam!

[@adilrasheed]

@@statquest hahaha your BAM made my day! Hey Josh a request,R is really painful for us eps in probability and statistics simulations,can you guys can make something regarding this. Something as such for coding stuffs.

[@statquest]

@@adilrasheed I have a few videos n how to do things in R. For a complete list, see: statquest.org/video-index/

[@adilrasheed]

@@statquest thanks for this Josh. Will love to see such stuffs in pythons too.

[@abhasmalguri2905]

Really very good videos. Easy to grasp. Thanks for this amazing content👍

[@statquest]

Thanks!

[@Mustafa-099]

You are doing God's work Josh 🙂

[@statquest]

Thanks!

[@yingc1233]

Amazing videos Josh, thank you!

[@statquest]

thanks!

[@MudithBhandari]

You are a legend. Hats off

[@statquest]

Thanks!

[@suhass6628]

2:41 "It is the population mean".....savage!!!!!

[@statquest]

:)

[@hanshernandez5513]

Wow what an incredible explanation. I liked and subscribed right away BAM!

[@statquest]

Thank you! :)

[@rajatrana2020]

Hey Josh! I recently found your channel (while surfing for Covariance) and found these awesome videos you make! BIG HEARTFUL Thankyou!!! I have this one doubt. We square the differences to make sure there isn't any negative term and in the end do a square root to finally get the standard deviation. As it turns out, in the middle of this we have termed the squared result as Variance. I do not understand why we needed Variance at all? SD was what we were looking for and SD helps us understand how spread out the curve will be. Then Why Variance is needed at all? (Otherwise we could also raise the differences to the power of 4 and name the result something fancy like Ultra-Variance, and then fourth root of Ultra-Variance would be our SD)

[@statquest]

Standard Deviations are easier to interpret, but some times we only need to do relative comparisons. For example, I might just want to know if one thing has less variance than another. For relative comparisons, we can save ourselves the extra work of calculating the standard deviation.

[@Ojjas26]

Just 1 word: Amazing!

[@statquest]

2 words: Thank you! :)

[@AizenMD]

I love that he uses BAM a lot, it feels like a dad trying to be cool even though he is without trying and just don't realize that (hope that made sense XD)

[@statquest]

BAM! :)

[@jinmingtang1545]

The most clearly explained why we should divide by (n-1) for sample SD. It is just as (1 - 2)2 + (3 - 2)2 = 2 while (1 - 1.9)2 + (3 - 1.9)2 = 0.81 + 1.21 = 2.02

[@statquest]

I'm not sure I understand your explanation... :(

[@karinahulka9980]

Thanks, I love this channel!

[@statquest]

Glad you enjoy it!

[@kristiantorres1080]

Subscribed as soon as I heard the intro...

[@statquest]

BAM! :)

[@devangsharma7550]

You are awesome josh🤝🔥

[@statquest]

BAM!

[@fatematania2193]

Execellent lectures. Your lectures are presenting statisitics as almost new to me. Could please add some more explanation on how (n-1) compensate in estimated population variance? I am grateful to you for your contribution to my learning.

[@statquest]

See this video: kzbin.info/www/bejne/qXm1c5psd81-oKs

[@janvisharma2891]

Introduction is lit☺️☺️

[@statquest]

:)

[@liquidation22]

the soundeffects sold me!

[@statquest]

:)

[@batoulmed6449]

well explained and organized, thank you

[@statquest]

Thank you! :)

[@obscureADSR]

Finally, an answer to the vague nagging concern I'd had when VAR.P and VAR.S both show up in the context clues working in Excel for years... Hah, thanks!

[@statquest]

Glad it helped!

[@joxa6119]

If only if I found you before I need to repeat my Statistics course in my first year of study...

[@statquest]

:)

[@marjiehoss1498]

I came here for the learning stayed back for the learning and the rad music

[@statquest]

BAM! :)

[@rishishmishra5809]

Brilliantly explained

[@statquest]

Thank you! :)

[@vaibhavmankar5275]

awesome, fascinating, incredible, marvelous ...

[@statquest]

Many thanks!

[@excelbelajar]

You make statictics fun😁🙏

[@statquest]

Thank you! :)