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Expected Values, Main Ideas!!! 

StatQuest with Josh Starmer
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Expected values are part of the foundation of statistics and the reason why casinos don't go out of business all the time. Here, we walk through two examples that explain the concepts behind Expected Values and its fancy looking notation. BAM!
For a complete index of all the StatQuest videos, check out:
statquest.org/video-index/
If you'd like to support StatQuest, please consider...
Buying my book, The StatQuest Illustrated Guide to Machine Learning:
PDF - statquest.gumroad.com/l/wvtmc
Paperback - www.amazon.com/dp/B09ZCKR4H6
Kindle eBook - www.amazon.com/dp/B09ZG79HXC
Patreon: / statquest
...or...
RU-vid Membership: / @statquest
...a cool StatQuest t-shirt or sweatshirt:
shop.spreadshirt.com/statques...
...buying one or two of my songs (or go large and get a whole album!)
joshuastarmer.bandcamp.com/
...or just donating to StatQuest!
www.paypal.me/statquest
Lastly, if you want to keep up with me as I research and create new StatQuests, follow me on twitter:
/ joshuastarmer
0:00 Awesome song and introduction
5:09 Calculating an Expected Value
8:02 Expected Value notation
10:30 A more complicated example of Expected Values
#StatQuest #Statistics #ExpectedValue

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2 июл 2024

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Комментарии : 377   
@statquest
@statquest 2 года назад
Support StatQuest by buying my book The StatQuest Illustrated Guide to Machine Learning or a Study Guide or Merch!!! statquest.org/statquest-store/
@adolfocarrillo248
@adolfocarrillo248 Год назад
Thank you for sharing your knowledge. This one was clear as the Ganges river, I mean where the main stream rises, near the Himalaya Mountains.😉
@statquest
@statquest Год назад
@@adolfocarrillo248 Thanks!
@therealpattypooh
@therealpattypooh Год назад
Just purchased my copy of Guide to Machine Learning. The first time I saw a video of yours was just some days ago, it was about PCA, and I couldn't believe I understood its concepts. You're exceptional. Thank you, Josh, I'm just addicted to your videos; they keep me motivated!.
@statquest
@statquest Год назад
@@therealpattypooh Wow! Thank you so much for your support! BAM! :)
@efunchen
@efunchen Год назад
Actually 100% of people in StatLand have heard of Troll 2 because you went around and asked everyone if they've heard of Troll 2 :)
@statquest
@statquest Год назад
:)
@satwiktutor
@satwiktutor 5 месяцев назад
bammmm@@statquest
@Mr_ScrufMan
@Mr_ScrufMan 4 месяца назад
@@satwiktutorquite possibly triple bammm
@MADaniel717
@MADaniel717 3 года назад
I like the concept of statland
@statquest
@statquest 3 года назад
Hooray!!!
@apah
@apah 3 года назад
I binged your Statquest stat fundamentals and just finished it. Can't express how much it has helped me build a sense and create a solid base for my ongoing data science masters. The older i grow, the more i realize that in some areas of life, it is best to treat adults like the children they actually are in these specific areas. Unbelievably efficient. You're an amazing teacher who deeply understood how much repetition & maintaining a trail of thought is key (+ bite sized format). I managed to grasp an in depth understanding of most concepts with rarely if ever having to rewind thanks to the number of times you repeat and synthesize key notions. THANKS JOSH !! (Also you're hilarious, and i genuinely love your music and overall vibe, i been going through rough times health & study wise and just can't believe how you made my week, and how you made me enjoy learning probas/stats again) Cheers ♥
@statquest
@statquest 3 года назад
Wow! Thank you very much! I'm really glad to hear that my videos are helping you. I also hope that your rough times will come to an end soon! :)
@mhdamayri2529
@mhdamayri2529 2 года назад
I got very curious about Troll 2 and looked it up on the trivia part of the IMDB page it says : "The entire cast went to a casting call hoping to be extras, and ended up in lead roles." You can just imagine for yourself how the trailer looked like.
@statquest
@statquest 2 года назад
bam! :)
@cwtrain
@cwtrain 3 года назад
Statistics at 10pm on a Sunday!? You better believe it! Woo! _buckles up_
@statquest
@statquest 3 года назад
Bam! :)
@danspeed93
@danspeed93 2 года назад
Explaining clearly the expected values … I clearly understood them. Well done your mission is accomplished!
@statquest
@statquest 2 года назад
Thank you!
@ScottEdwards2000
@ScottEdwards2000 3 года назад
Great video. Can't wait to understand the n-1 thing. I've been waiting to understand that for a long time!
@statquest
@statquest 3 года назад
Hopefully we'll get there soon! :)
@physicsfaith
@physicsfaith 3 года назад
You are going to be disappointed... Its a mathematical fact based on the degrees of freedom. What does that mean? If I told you 10 numbers added to 100, do you need to know all 10 numbers or with 9 do you know what the 10th must be because the sum told you to last bit of information? Its going to be just like that here.
@ScottEdwards2000
@ScottEdwards2000 3 года назад
@@physicsfaith cool I'd love to hear more. It's interesting that only the standard deviation needs to be divided by n minus one not the mean
@statquest
@statquest 3 года назад
@@physicsfaith It's related to that, but the actual derivation is pretty complex.
@evanstoid
@evanstoid 2 года назад
@@statquest attempting to understand the concepts of degrees of freedom and the intuitive understanding of why we need a smaller denominator for estimating the sample variance has only deepened my understanding of my ignorance of those concepts.
@nicolasabboud8577
@nicolasabboud8577 9 месяцев назад
Your method of explaining concepts is unique. You made me love probability and statistics. Thank you a lot. 🌷
@statquest
@statquest 9 месяцев назад
Thanks! :)
@ayomikunoyenuga821
@ayomikunoyenuga821 Год назад
I already watched a video before this one to explain what Expected Value meant but when I came across Statquest, I knew I had to definitely watch this video I wasn’t disappointed. Your real-life adaptions for statistical concepts are really engaging, Josh! Kudos!
@statquest
@statquest Год назад
Thank you! :)
@arc7244
@arc7244 2 года назад
I can't thank you enough! I owe you a lot... The world needs teachers like you 🙂
@statquest
@statquest 2 года назад
Thank you! :)
@blackmeteorite-rj3vw
@blackmeteorite-rj3vw Месяц назад
bro thank you for all that effort to simplify things
@statquest
@statquest Месяц назад
Thanks!
@alainleclerc4523
@alainleclerc4523 Год назад
isthere a better teacher than you on earth? i don't think so. you are absolutly amazing!! you master the art to make complicated things easy and pleasant. you are so wonderful!! thank you very much for all your efforts in those videos. each one is a gem!! be blessed!!
@statquest
@statquest Год назад
Thank you so much 😀!
@just_a_viewer5
@just_a_viewer5 Год назад
adore your videos so much, sir. thank you for helping me change my attitude towards this subject. may you get all the happiness you want
@statquest
@statquest Год назад
Thank you very much! :)
@aysenurfidan1122
@aysenurfidan1122 Год назад
As someone who started to learn to code, and then data analysis and now dying to learn about ML in her 45 without any relevant background, your videos are life saver! I can understand all and I am enjoying it! You make me want to learn more. Thanks a lot!!!
@statquest
@statquest Год назад
Hooray!!! :)
@chrisjm80
@chrisjm80 3 года назад
Very clearly explained, thank you! Looking forward to the other videos in this series! StatSquatch FTW! 😄
@statquest
@statquest 3 года назад
BAM! :)
@kevinding1204
@kevinding1204 Год назад
This is super helpful thank you soooooooooo much. I tried to read the textbook definition and it was way too boring/complicated to understand (doesn't explain enough) while your video just makes everything much clearer for me. Thanks!
@statquest
@statquest Год назад
Glad it helped!
@jaquelinemoreira7385
@jaquelinemoreira7385 2 года назад
it's finally clear for me what the expected value means in practical. i'm amazed for it, Thank you so much!
@statquest
@statquest 2 года назад
Hooray!!! BAM! :)
@justingomez9615
@justingomez9615 3 месяца назад
Bro, where was this channel all my life, cant believe I'm now stumbling upon this channel. Great Great style of teaching 👍
@statquest
@statquest 3 месяца назад
Thank you!
@cananakca1408
@cananakca1408 2 года назад
BAM!!! I am hooked on your videos! You make it so easy for anyone to understand.
@statquest
@statquest 2 года назад
Hooray!
@jasonfaustino8815
@jasonfaustino8815 2 года назад
THANK YOU! You really are a lifesaver. Wish all educators have your “teach it to a 5yo” approach. I really appreciate you showing the cryptic formulas and then explaining it to me like 5
@statquest
@statquest 2 года назад
Thanks!
@sxx2491
@sxx2491 Год назад
dude you saved my life once again with your clear explanation and the proper example
@statquest
@statquest Год назад
DOUBLE BAM! :)
@teosurch
@teosurch 2 месяца назад
Thank you, so clear explanation and an example about the usefulness of the expected value with the calculation of a bet profit!👍
@statquest
@statquest 2 месяца назад
Glad it was helpful!
@yoshitareddy4137
@yoshitareddy4137 3 года назад
BAM!! You are the best!! Thanks a lot, your videos have been very helpful ❤️
@statquest
@statquest 3 года назад
Glad you like them!
@janilayturatkhankyzy1321
@janilayturatkhankyzy1321 Год назад
Thank you Josh, the way you explain is a masterpiece!
@statquest
@statquest Год назад
Thank you! :)
@mereraK
@mereraK 4 месяца назад
I saw a genius here today; he explained complex concepts in simple way. Thanks!
@statquest
@statquest 4 месяца назад
bam! Nice rhyme!
@kimiko495
@kimiko495 4 месяца назад
I wish professors in universities taught in this way. Thanks for making statistics so accessible. I felt very frustrated when I came here but now I am motivated to learn.
@statquest
@statquest 4 месяца назад
BAM! :)
@vinitbipinjain
@vinitbipinjain 2 года назад
Thank you so much for an amazing video and the pdf!
@statquest
@statquest 2 года назад
You are welcome!
@adnanornab5134
@adnanornab5134 3 месяца назад
You explained beautifully. Thank you.
@statquest
@statquest 3 месяца назад
Thanks!
@pptmtz
@pptmtz 3 месяца назад
Great job man, greetings from México City, you explain very clearly and the "translation" to fancy notation allows me to better understand some academic papers.
@statquest
@statquest 3 месяца назад
Muchas gracias!
@numberexplorerchannel1827
@numberexplorerchannel1827 2 года назад
Million Baaamss. You just made all expected value confusions so cleeaarr. Salute👌
@statquest
@statquest 2 года назад
Thank you! :)
@AJK-a2j00k4
@AJK-a2j00k4 4 месяца назад
The moment he says "it's time for Shameless self promotion" lololol!
@statquest
@statquest 4 месяца назад
bam!
@LeCassiopeia
@LeCassiopeia 2 года назад
I love you for creating this. This helps me so much.
@statquest
@statquest 2 года назад
I'm so glad!
@miguelcabrera9682
@miguelcabrera9682 3 года назад
Awesome video. Thanks!
@statquest
@statquest 3 года назад
Glad you liked it!
@vikat06
@vikat06 Год назад
Really good explanation!!
@statquest
@statquest Год назад
Thank you! :)
@farukapece
@farukapece Год назад
Thank you very much for your very nice and clear explanation.
@statquest
@statquest Год назад
bam! :)
@kendesmarais9018
@kendesmarais9018 Год назад
Josh you are the best! Thanks so much for your helpful videos!
@statquest
@statquest Год назад
Glad you like them!
@anashaat95
@anashaat95 Год назад
Clear explanation. Thank you.
@statquest
@statquest Год назад
Thank you!
@rajns8643
@rajns8643 10 месяцев назад
The explanation was as brilliant as expected :)
@statquest
@statquest 10 месяцев назад
Thanks!
@bibekanandabhattacharjee952
@bibekanandabhattacharjee952 2 года назад
Fantastic, superb !!
@statquest
@statquest 2 года назад
Many thanks!
@tayyabhussaintahir
@tayyabhussaintahir 2 года назад
You are the best, please keep making these wonderful videos.
@statquest
@statquest 2 года назад
Thank you! Will do!
@abdullahshahid9051
@abdullahshahid9051 2 года назад
This is the best stats channel easily
@statquest
@statquest 2 года назад
Thank you!
@Veto2090
@Veto2090 9 месяцев назад
StatSquatch knows there's a Troll 2 viewing party happening at the local theater and he's about to fleese us
@statquest
@statquest 9 месяцев назад
BAM!
@h-s7218
@h-s7218 Год назад
Great and awesome video ever !
@statquest
@statquest Год назад
Thank you!
@koustubhmuktibodh4901
@koustubhmuktibodh4901 24 дня назад
Wow! what a great explanation.
@statquest
@statquest 24 дня назад
Thanks!
@yorchais
@yorchais 3 года назад
Best explanation ever!
@statquest
@statquest 3 года назад
Hooray! :)
@skysummer1586
@skysummer1586 3 года назад
Exactly what I need right now!!! Thank you so much!
@statquest
@statquest 3 года назад
Glad I could help!
@stephenmaharaj5230
@stephenmaharaj5230 3 года назад
Useful and fun. Thanks.
@statquest
@statquest 3 года назад
Thanks! :)
@apah
@apah 3 года назад
BAAM it's finally here ! Wuan wuan .. can't wait for part 2 & 3 (initially came for the n-1 thing :p)
@statquest
@statquest 3 года назад
:)
@raduandreicosmin
@raduandreicosmin 3 года назад
Looking forward to part 2! Continuous expected value is something I've been struggling to find a comprehensive, easy to understand explanation on.
@statquest
@statquest 3 года назад
That should be coming out next week.
@monilcharola6873
@monilcharola6873 Год назад
Your videos are awesome !!!
@statquest
@statquest Год назад
Glad you like them!
@misnik1986
@misnik1986 3 года назад
excellent job
@statquest
@statquest 3 года назад
Thank you very much!
@gustavojuantorena
@gustavojuantorena 3 года назад
Great video! Thanks!
@statquest
@statquest 3 года назад
Thanks! :)
@rashmik19
@rashmik19 Год назад
Awesome content.....BAM!!! BAM!!! BAM!!!
@statquest
@statquest Год назад
Thank you! :)
@Ra-pt6tx
@Ra-pt6tx 2 года назад
Great Job
@statquest
@statquest 2 года назад
Thanks!
@TrungTran-dp3ct
@TrungTran-dp3ct 2 года назад
hey Josh, Thank you for all of your videos. Better than other online courses/resources, and it's totally FREE. You are GOD!
@statquest
@statquest 2 года назад
Wow, thanks!
@emanelsheikh6344
@emanelsheikh6344 Год назад
Thank you so much 🙏
@statquest
@statquest Год назад
You're welcome! :)
@rishabhnarula1999
@rishabhnarula1999 6 месяцев назад
great teaching, thank you sir. 👍😊
@statquest
@statquest 6 месяцев назад
Thanks!
@anuragbisht1200
@anuragbisht1200 Год назад
Statsland growth of population is quite significant from "conditional prob." video to this one 😄
@statquest
@statquest Год назад
bam! :)
@bebarshossny5148
@bebarshossny5148 2 года назад
lovely channel, subbed!
@statquest
@statquest 2 года назад
Awesome, thank you!
@almonddonut1818
@almonddonut1818 2 года назад
Thank you!
@statquest
@statquest 2 года назад
You're welcome!
@playerdreamer181
@playerdreamer181 2 года назад
DUDE THIS IS SO COOL
@statquest
@statquest 2 года назад
Thanks!
@whiteroadism
@whiteroadism 3 года назад
Thanks for the lottery system setup guide.
@statquest
@statquest 3 года назад
:)
@mysticalpotato2110
@mysticalpotato2110 3 года назад
Hi Josh, please make a video on degrees of freedom.. Thanks
@statquest
@statquest 3 года назад
I would love to.
@ericdanielasi5983
@ericdanielasi5983 2 года назад
I sat through this and it's worth it.
@statquest
@statquest 2 года назад
Thank you! :)
@futbolscoop
@futbolscoop 2 года назад
Thanks , keep it up sir
@statquest
@statquest 2 года назад
Will do!
@praveerparmar8157
@praveerparmar8157 3 года назад
Super duper like for the video. Pity on the Statsquach 😀
@statquest
@statquest 3 года назад
Hooray! :)
@mixalisk.5413
@mixalisk.5413 3 года назад
Josh hello from Greece!!! Thank you for all of your videos. Could you please consider making 1 or 2 statquests about time series? No matter how much I searched i couldn't find something comprehensive
@statquest
@statquest 3 года назад
I'll keep that in mind.
@mbs8249
@mbs8249 Год назад
Thank you
@statquest
@statquest Год назад
You're welcome!
@catmeme4life220
@catmeme4life220 2 года назад
Troll 2 is going to be the all I can think of during the midterm ... thanks...
@statquest
@statquest 2 года назад
:)
@faresmhaya
@faresmhaya 6 месяцев назад
I can't believe that I was never explained this concept in school. I memorized the name, I memorized the formula again and again every time I needed to use it, only to forget it afterwards, but I never understood the how and why. It's such a shame.
@statquest
@statquest 6 месяцев назад
I hope the video was helpful.
@faresmhaya
@faresmhaya 6 месяцев назад
@@statquest It certainly was! Thank you for the work that you keep doing, and happy holidays!
@futureisnow5446
@futureisnow5446 Год назад
Great man.🦁
@statquest
@statquest Год назад
Thanks!
@mohammedabrar2871
@mohammedabrar2871 2 года назад
A great video, keep help[ing out!
@statquest
@statquest 2 года назад
Thanks, will do!
@setarehbakhshi6047
@setarehbakhshi6047 Год назад
I loveeeeeeeeeeeeeeeeeeee your teaching method.
@statquest
@statquest Год назад
Thank you very much! :)
@ptxsv8705
@ptxsv8705 Год назад
Omg this helps me understand so much quicker
@statquest
@statquest Год назад
bam! :)
@zahraeftekhar3308
@zahraeftekhar3308 3 года назад
Great video! looking forward to other parts! Could you please also do a video on Dirichlet distribution and latent Dirichlet allocation. I am struggling with them these days :( that would be awesome!
@statquest
@statquest 3 года назад
I'll keep that in mind.
@momentum742
@momentum742 3 года назад
best person to learn math from
@statquest
@statquest 3 года назад
Thanks!
@Andre_NS
@Andre_NS 3 года назад
BAM! Very good 👍
@statquest
@statquest 3 года назад
Thank you! 👍
@TheFobJang
@TheFobJang 2 года назад
Loved it! And poor StatSquatch
@statquest
@statquest 2 года назад
Thank you!
@rungrawin1994
@rungrawin1994 10 месяцев назад
Love your explanation! Can you explain about LoTUS plsss.
@statquest
@statquest 10 месяцев назад
I'll keep that in mind.
@vijayendrashrivastava9178
@vijayendrashrivastava9178 3 года назад
Thanks very nice.. helpful
@statquest
@statquest 3 года назад
Thanks!
@ichimatsu8422
@ichimatsu8422 2 года назад
"Make it look more cryptic" this man knows the struggle
@statquest
@statquest 2 года назад
bam!
@julieyananzhu1134
@julieyananzhu1134 3 года назад
Hi, Josh. Hope you can talk about mixed-effect model. And the pros and cons compare with GEE. Thanks!
@statquest
@statquest 3 года назад
I'll keep that in mind.
@Vanadium404
@Vanadium404 9 месяцев назад
12:15 Stats squach is the worst gambler ever 😂😂
@statquest
@statquest 9 месяцев назад
Totally!
@pon-poncedie4963
@pon-poncedie4963 2 года назад
thank god I'm desperate to learn what school is trying to teach me. This was very good, as I was confuse how to read what the Big E was.
@statquest
@statquest 2 года назад
bam!
@christopherlauw1570
@christopherlauw1570 2 года назад
i love your videos
@statquest
@statquest 2 года назад
Thank you!
@MarwinMachay
@MarwinMachay 3 года назад
Amazing video! Thanks for making stats clearer to us :) Question: the expected value should be the same either sampling with or without replacement, right?
@statquest
@statquest 3 года назад
I believe so. The idea is "what do we expect, on average".
@bob_bobsen
@bob_bobsen 2 года назад
Loved the sly comment about textbook clarity at 08:10
@statquest
@statquest 2 года назад
:)
@sidkapoor9085
@sidkapoor9085 3 года назад
Intuitive build-up and explanation.
@statquest
@statquest 3 года назад
Thanks!
@yitanglu6039
@yitanglu6039 3 года назад
Could you make an album collecting songs in your videos? Love those songs.
@statquest
@statquest 3 года назад
Bam! :)
@bablu_0k
@bablu_0k 9 месяцев назад
Dudeee... statsquach sure love to take risks 😂
@statquest
@statquest 9 месяцев назад
bam! :)
@sharme_
@sharme_ 2 года назад
Super BAM!!!
@statquest
@statquest 2 года назад
:)
@ankitagrawalgeneral
@ankitagrawalgeneral 3 года назад
Dear Josh, Thank you for creating great videos and uploading in RU-vid for us. I was watching your Logistic Regression video and I was struggling with cross terms between differernt features. Do you know any literature on how to include cross terms in the model?
@statquest
@statquest 3 года назад
I believe you are asking about interactions. Interactions are when two features can influence each other. Like you might have two different drugs that help reduce blood pressure, and when taken separately, that's what they do, but when taken together, you might end up with something completely different (like higher blood pressure or something else). That's an interaction and the "x" term accounts for that. Unfortunately I don't know of any good literature on the subject.
@ankitagrawalgeneral
@ankitagrawalgeneral 3 года назад
@@statquest Thanks for the answer. Yes you got it absolutely right. I will check it. Can you cover Louvain and Leiden clustering in your upcoming videos. I want to hear from you about these techniques which are frequently used in single-cell community. Thanks a lot.
@b3_66_varadlatkar7
@b3_66_varadlatkar7 2 года назад
Your voice is like I'm hearing a podcast
@statquest
@statquest 2 года назад
bam!
@govamurali2309
@govamurali2309 3 года назад
Waiting for Stat quest on degrees of freedom❤
@statquest
@statquest 3 года назад
One day it will happen! :)
@duy-nq
@duy-nq 4 месяца назад
Just have the interview a few days ago, guys! They ask me the same type of question like the one in this video @@ and I'm fail to answer. Now I understand why... lol
@statquest
@statquest 4 месяца назад
Thanks for the tip! Hopefully you’ll do better next time.
@rishithashenal4048
@rishithashenal4048 10 месяцев назад
If you asked everyone if they had heard about the Troll 2 movie before, then the next time you are asking everyone has heard of it.
@statquest
@statquest 10 месяцев назад
:)
@rashmik19
@rashmik19 Год назад
Alone maths has never helped me to learn data science skills, it's a combination of maths, intuition and the physical significance of the concepts. I found all of them here on your channel.
@statquest
@statquest Год назад
Hooray! I'm so glad my videos are helpful.
@ChelseaaaL
@ChelseaaaL Год назад
Love the content. But I guess that we might lose the bet because in the survey, everybody kind of heard of the troll 2 in being asked the question have you ever heard of Troll 2😂😂😂😂
@statquest
@statquest Год назад
bam! :)
@josevaldes7493
@josevaldes7493 3 года назад
this video is amazing and troll 2 too.
@statquest
@statquest 3 года назад
BAM! :)
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