Calculating the Mean, Variance and Standard Deviation, Clearly Explained!!!
ฝัง
- เผยแพร่เมื่อ 21 ก.ย. 2024
- One of the most basic things we do all the time in Data Analysis (i.e. Statistics, Machine Learning or any other sort of number crunching type thing) is calculate the mean, variance and standard deviation. This StatQuest walks you through these tasks and help you avoid a very common pitfall that is all too easy to fall into.
NOTE: This StatQuest assumes are already familiar with...
...Histograms: • StatQuest: Histograms,...
...Statistical Distributions: • The Main Ideas behind ...
...the Normal Distribution: • The Normal Distributio...
...and Population Parameters: • Population and Estimat...
NOTE: For more details on why dividing by 'n' underestimates the population variance and why we square each term, check out the follow up StatQuest: • Why Dividing By N Unde...
For a complete index of all the StatQuest videos, check out:
statquest.org/...
If you'd like to support StatQuest, please consider...
Buying The StatQuest Illustrated Guide to Machine Learning!!!
PDF - statquest.gumr...
Paperback - www.amazon.com...
Kindle eBook - www.amazon.com...
Patreon: / statquest
...or...
TH-cam Membership: / @statquest
...a cool StatQuest t-shirt or sweatshirt:
shop.spreadshi...
...buying one or two of my songs (or go large and get a whole album!)
joshuastarmer....
...or just donating to StatQuest!
www.paypal.me/...
Lastly, if you want to keep up with me as I research and create new StatQuests, follow me on twitter:
/ joshuastarmer
#statquest #statistics
Support StatQuest by buying my book The StatQuest Illustrated Guide to Machine Learning or a Study Guide or Merch!!! statquest.org/statquest-store/
can you please make notes on fundamental of statistics
@@adityaparab7802 A lot of these topics are already covered in my book.
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.
Thanks!
Gives me confidence that I'm not the only one needing a refresher in the last year of my bachelor.
@@Scrungge : 95% confidence?? 😃
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.
Thank you very much!
Discovering this channel felt like I struck gold. Thanks for the awesome content!
Thank you!
This has to be the most ADHD friendly math content I've ever come across!!! This is so brilliant and fun!
Thanks!
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.
It's really sweet how you guys make songs for really boring/difficult/important topics and make it so fun! 😁 Thanks a lot!!
Thanks! :)
Happy to have found your channel.. Thank you so much for all the hardwork you put in to help people...
Thank you! :)
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
Awesome! :)
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 i like the way you say "BAM...!!!", And any other "sanguinis" stuffs. More jokes, more relax. Learning is fun gang...
Agree. we need a calculus quest just like this one
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.
If you would have been curious enough to learn, like you do now searching TH-cam, in your school or college days, your math teachers would have been like Josh to you. Just saying
Your TH-cam channel carried me through Probability & Statistics and Machine Learning
bam!
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!
Thanks!
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
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
Wow! Thank you very much! :)
Which course..actually m also thinking of taking one it would be a great help if u ans my query
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!
Bam! :)
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!
I'm glad my video was helpful! :)
Thought I knew the basics well, but I'm truly mastering them now as I go through your channel. Thank you!
I'm glad my videos are helpful! :)
This is probably the very best video about variance, standard deviation I've seen. It's great explanation
Thank you!
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.
Wow, thanks!
What a good deed I have done, God rewarded me by finding this channel. I'm so glad to have you.
Wonderful!
You are the best statistic teacher. Ever!!!!
thank you
Thanks! :)
Outstanding and exceptional job... you are doing. Trillions of thanks and appreciation. Extremely pleased to have your channel.
Thank you!
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
Muchas gracias!!!
Simple is an art that requires you to truly understand what you are saying. Thank you, StatQuest!
Thank you very much!
These videos make stuff so simple and easy, I relax and get un-depressed. It's like meditation. Thank you.
Glad you like them!
if I am not wrong, you're a faculty at Netaji Subhas Engineering College at Kolkata? and obtained your degree from AP?
Wow,you are the best statistic and machine learning teacher.Thank you
Thanks! :)
Amazing, I became a stan at 5:36. These videos are always aware of the context in which we use these stats & methods.
Thank you!
Man, I just love the way you did explain everything cuz boi I truly was struggling to understand it. YOU ARE DA BEST
Glad it helped!
I came here for Josh's music
You have very good taste in silly songs! :)
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 🤓.
Thanks!
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.
Thank you very much!!! I'm really happy you like the videos. :)
Thank you for all your efforts. Each video is just right enough to provide you entire knowledge one needs.
Thanks!
You are great. Complex issues can be easily undertstandible by your videos. Thanks for these all videos.
Thank you! :)
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 :)
Merci!!! :)
Best channel for easy and brief yet very effective statistics lectures. Thank you for your work guys!
Thank you!
I am unreasonably excited for the “beep boop” of the algebra.
That's awesome! BAM! :)
I still didn't see the video but I already gave you thumbs up for that super cool introduction.
:)
Thanks. As always - very simple, and useful! But still I can imagine, what work you've done with animation, and presenting that material.
I dream of one day animating my StatQuests. Some concepts would really benefit from it.
@@statquest I think you'd be surprised at how easy software like Adobe Animate are. Also, 3Brown1Blue just uses python to make his videos.
These interpretations are clear and save time than read textbooks. Great works.
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.
bam! :)
Thank you for your clarification about n-1!
Thank you!
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!
Thank you very much! :)
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.
Glad it helped!
This channel is literally gold for math lovers
Thanks!
The best teacher ever!
Thank you
Thank you! 😃
Thank you for making such an excellent series for beginners. Your videos inspire to read more on the subject.
Happy to hear that!
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!
Thank you! :)
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
Wow, thank you!
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)
BAM! :)
You are the man Josh. Your videos are
Golden.
Thanks! :)
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 💚.
Better late than never! :)
Very simple, quick, and extremely infromative. Thanks!!
Thanks! :)
I love your BAM!!!! and Terminology alerts :)
Thank you!
Holy BAM! You make it so simple to understand!
Hooray! :)
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!
bam!
2:41 "It is the population mean".....savage!!!!!
:)
Excellent..Commendable...well done.. Just the kind of explanation I was looking for.
Thanks! :)
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)
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.
greetings form germany. U helped me a lot :)
Glad to hear that!
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 🇮🇳
Hooray! I'm glad that the video was helpful.
Amazing videos Josh, thank you!
thanks!
Your the best Josh !!, Thank you for your hardwork and effort in creating your videos !!
Thank you very much! :)
Wow. Amazing. Thanks Josh! You're a gem!
Wow, thanks!
wow this was so good....i really enjoyed the time cause it was very clear
Awesome, thank you!
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."
Bam! :)
well explained and organized, thank you
Thank you! :)
This guy is a absolute legend
Thanks! :)
Your statistics videos are helping me with my computational statistics module😄
Awesome! Good luck! :)
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
I'm not sure I understand your explanation... :(
You should have a radio show or podcast, perfect voice for that!
Wow! Thank you very much! :)
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.
See this video: th-cam.com/video/sHRBg6BhKjI/w-d-xo.html
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!!
Bam! :)
U R GOD in explaining things which are so much difficult
Thanks!
Even as a phd this is useful and full of insight.
Awesome! :)
These are the best. A genuine thank you, sir!
Thank you! :)
You are a legend. Hats off
Thanks!
Thanks, I love this channel!
Glad you enjoy it!
I learned more from you Sir than my teachers
THanks!
If only if I found you before I need to repeat my Statistics course in my first year of study...
:)
The things that i always wondered why we do so. I just got my answers here. Thanks
Awesome! :)
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 !
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. :)
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!
Glad it helped!
This was so so helpful thank you!
Thanks!
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 .....
Hooray! I'm glad my videos are helpful! :)
Same with Python numpy. The sdv function returns the population standard deviation by default. You have to ascertain by assigning ddof=1.
I didn't know that. Thanks for posting. :)
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.
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.)
excellent lesson! thank you
Thank you!
videos are very helpful .thank you so much.
Thanks!
Thank you for such interesting lectures
😇😇
Thanks!
I came here for the learning stayed back for the learning and the rad music
BAM! :)
Really very good videos.
Easy to grasp. Thanks for this amazing content👍
Thanks!
the soundeffects sold me!
:)
You make statictics fun😁🙏
Thank you! :)
Great explanation.
Thanks!
You are doing God's work Josh 🙂
Thanks!
Brilliantly explained
Thank you! :)
Best Explanation!! 👍
Glad you liked it! :)
You are saving me. THX
Happy to help! :)
You are amazing teacher .
Thank you! 😃
You are a life saver, thank you so much!
Happy to help!
thank you very much for these amazing videos.
Thanks! :)