Standardizing Normally Distributed Random Variables (fast version)

I have a slightly slower and more refined version of this video available at • Standardizing Normally... .
I discuss standardizing normally distributed random variables (turning variables with a normal distribution into something that has a standard normal distribution). I work through an example of a probability calculation, and an example of finding a percentile of the distribution. It is assumed that you can find values from the standard normal distribution, using either a table or a computer.

Пікірлер: 199

  • @Andreas_XD
    @Andreas_XD8 жыл бұрын

    I appreciate the enthusiasm in your voice, its appreciated, and of course the video is excellent. Thank you for taking the time out to make it sir.

  • @jbstatistics

    @jbstatistics

    8 жыл бұрын

    +andrew morchik You are very welcome. Thanks for the compliment!

  • @gulbengozu9232

    @gulbengozu9232

    2 жыл бұрын

    i agree with every single word

  • @jbstatistics
    @jbstatistics11 жыл бұрын

    Thanks! I'm glad you like this video. I've got lots more stats videos, and I'll definitely be adding content for some time.

  • @jbstatistics
    @jbstatistics11 жыл бұрын

    Thanks for the feedback and compliment James. I am just doing my videos the way I think is best. What I think is best changes a little through time. I had a different vision in mind when I first started making these than I do now, so I've changed how I do things a little. I'm glad you like this video. I do too.

  • @starja4477
    @starja44774 жыл бұрын

    Dude, your videos are some of the most well-presented math videos I've seen (and trust me, I'm in 4th year eng, I've seen A LOT) You're a real gem

  • @FB-tr2kf
    @FB-tr2kf6 жыл бұрын

    Feel really proud in what you're doing. Every view that you ascertain through one of your videos, motivates an individual to carry on and learn more. You've really made learning fun and easy. keep up the wonderful effort.

  • @Malangsufi
    @Malangsufi12 жыл бұрын

    My teacher spend 1 hour of the class trying to do what you did in less than 10 minutes, truly excellent work. You deserve more views that this!

  • @iamlightboo
    @iamlightboo5 жыл бұрын

    you have no idea how much you've helped me omg. i've been almost failing stats because i couldn't understand it until i found this channel #bless

  • @jbstatistics
    @jbstatistics11 жыл бұрын

    You can find that using software or a standard normal table. I have videos outlining how to find percentiles using the standard normal table. (There are 2 main types of table, and I have a video for each one.)

  • @jbstatistics
    @jbstatistics11 жыл бұрын

    You're welcome, and thanks for the compliment! I'm always happy to be of help to my friends in the UK.

  • @lisapurnawati884
    @lisapurnawati8849 жыл бұрын

    One word about your presentation: SUPERB!!! Thanks a lot, you are the best tutor to explain this!

  • @realisticlevel2553
    @realisticlevel25534 жыл бұрын

    Thank you for having me enjoying my statistics course because of this beautiful and useful lectures! You deserve the best

  • @Chrysaries
    @Chrysaries6 жыл бұрын

    I like the speed of this video! Towards the end it sounds like you're in a game show about explaining statistics before being swept down into water by a moving wall, but it's still calm enough to understand without feeling stressed. I guess it's more akin to a commentator's change of voice when a goal is approaching.

  • @jbstatistics
    @jbstatistics11 жыл бұрын

    You're welcome, and thanks for the feedback. Due to popular demand, I've slowed down a touch on my recent videos. But I still try to make them a little quicker and much more concise than what I see out there.

  • @Tlanification
    @Tlanification6 жыл бұрын

    Bless you sir, your enthusiasm for stats is so infectious, I think i finished my entire semester's worth of content in a single weekend. All thanks to your videos.

  • @jbstatistics

    @jbstatistics

    6 жыл бұрын

    You are very welcome, and I'm glad to be of help.

  • @louisrod974
    @louisrod9747 жыл бұрын

    thank you so much for a fast version of this. cant stand seeing every calculation done in a video

  • @sonyxxmunions
    @sonyxxmunions10 жыл бұрын

    I do school online, and even the lecture videos and textbooks could not teach me the way you just did. I appreciate you making this. You just helped me pass my class.

  • @saurabh75prakash
    @saurabh75prakash6 жыл бұрын

    You are a global brand. I like your enthusiasm in improving your presentation. Just noticed the sudden change in emphasis. The material is top notch as usual. Many thanks.

  • @jbstatistics

    @jbstatistics

    6 жыл бұрын

    You are very welcome. I'm glad you liked the video!

  • @KennyyD
    @KennyyD4 жыл бұрын

    15 seconds in, and I already love your enthusiasm.

  • @adamj5
    @adamj511 жыл бұрын

    Love that you're using a higher tempo than usually man. Never really understood the point of talking slowly when KZread has the ability to paus and rewind. Thanks man.

  • @301fishing4
    @301fishing43 жыл бұрын

    9 years later and still helping me feel better about my final tmrw, thank you

  • @jbstatistics
    @jbstatistics12 жыл бұрын

    Good to hear! I'm glad to be of help!

  • @jbstatistics
    @jbstatistics11 жыл бұрын

    You're welcome! Yes, I have videos along those lines. You could start by searching for my video entitled "The sampling distribution of the sample mean." That will explain the sqrt(n) and when we'd use it. I taught at UGA for a year a decade or so ago. I miss Georgia.

  • @Phyto.
    @Phyto.6 жыл бұрын

    Best. Statistics. Channel. EVER. THANK YOU!!

  • @le3d0
    @le3d09 жыл бұрын

    You are awesome! I literally learned my whole Quantitative Methods material through your videos! I wish the money I paid for this course went to you! Thank you and keep up the awesome work!

  • @jbstatistics

    @jbstatistics

    9 жыл бұрын

    Thanks for the compliment! I'm very glad I could be of help!

  • @EJigut

    @EJigut

    8 жыл бұрын

    +jbstatistics Your statistics videos are beast mode. Clear, concise, and for once the audio is not monotone or a computer.

  • @jjingjaykay
    @jjingjaykay8 жыл бұрын

    Really nice video, nice voice, clear presentation, great teaching. Sped up my revision, thank you so much.

  • @mikexbox1
    @mikexbox13 жыл бұрын

    this is definitely the *fast version* haha i cannot thank you enough for all of these videos! salut du Québec!

  • @jbstatistics
    @jbstatistics12 жыл бұрын

    Thanks! I'm glad you liked it!

  • @jbstatistics
    @jbstatistics11 жыл бұрын

    You're welcome! Thanks for the compliment!

  • @bongusaikumar5509
    @bongusaikumar55093 жыл бұрын

    Sir ..could u explain how the z value is 1.28??

  • @egearslan5240
    @egearslan524010 жыл бұрын

    Great video that properly explains the topic. Thanks for the upload!

  • @Trxmor
    @Trxmor9 жыл бұрын

    So much enthusiasm I love it.

  • @pedrampourabbasvafa4916
    @pedrampourabbasvafa49166 жыл бұрын

    AWESOME videos, sir. Please do more of these. I am starting a Masters degree in Economics in France. And I was so worried about my statistics but your videos are amazzzzing. I learned in a day what I COULD NOT learn in 4 years of graduate studies.

  • @jbstatistics

    @jbstatistics

    5 жыл бұрын

    I'm glad to be of help! I'll get back to video production very soon!

  • @jbstatistics
    @jbstatistics10 жыл бұрын

    I'm glad to be of help!

  • @wilo8330
    @wilo83308 жыл бұрын

    You make me enjoy statistics, great videos.

  • @PrinceKumar-wz4vq
    @PrinceKumar-wz4vq2 жыл бұрын

    You are such a brilliant dude. Thanks for your all videos 🔥🔥🔥🔥

  • @marie-christineababio8223
    @marie-christineababio82235 жыл бұрын

    Thank you so much for this video. Couldn't have been more helpful

  • @jbstatistics

    @jbstatistics

    5 жыл бұрын

    I'm glad to be of help!

  • @jbstatistics
    @jbstatistics11 жыл бұрын

    Thanks! Just helping out where I can.

  • @rachittyagiyoutube
    @rachittyagiyoutube5 жыл бұрын

    For area finding we have to use A3 table? Plz reply ASAP... SIR ACCORDING TO A3 TABLE in. American height ques. Area is coming wrong

  • @mdsamiuzzamanreal3504
    @mdsamiuzzamanreal35045 жыл бұрын

    sir, I can`t believe that u are giving this at free.thank you so much sir

  • @lm5050
    @lm50508 жыл бұрын

    Good stuff, if only my lecturers were as enthusiastic as you are.

  • @eduf2000
    @eduf20005 жыл бұрын

    How can anybody be soooooo excited about statistics? This is awesome hahaha

  • @affirmvisualizeactsucceed2240
    @affirmvisualizeactsucceed224011 жыл бұрын

    Thanks from Queen Mary Univerisity Of London. You are an awesome Teacher , Thx for your time and effort.

  • @Shumayal
    @Shumayal6 жыл бұрын

    TStudent distribution video has been removed/made private on this playlist? I suggest people to access it through the website.

  • @rahulsheoran4990
    @rahulsheoran49903 жыл бұрын

    You are such a great tutorial i have ever seen... Good job dude... By the way I'm from india.... A lot of love by me... Keep it up🙏💯

  • @santiagoalpuy983
    @santiagoalpuy98311 жыл бұрын

    Yeaah, you could even talk faster and we would understand. You teach so good that that is even possible. I've watched many of your videos and sometimes several times, and i have not only learnt probability, but my english listening skills improved dramatically, to the point that i can understand anyone. My main language is spanish.

  • @peiyan9661
    @peiyan96615 жыл бұрын

    For 0.521 should we look at negative z-score or positive?

  • @xinyuewen3610
    @xinyuewen36103 жыл бұрын

    Great job sir! I love your work !

  • @hazemalabiad
    @hazemalabiad3 жыл бұрын

    Thank you so much! However, still have not got WHY standard normal distribution has a mean of 0 and a standard deviation of 1. Could you explain that theoretically with examples, please?

  • @jbstatistics
    @jbstatistics10 жыл бұрын

    You are very welcome MizzDivaThang!

  • @futbolplayercr7
    @futbolplayercr711 жыл бұрын

    This was very helpful. Thanks! I really enjoyed the enthusiastic voice. I am currently in an engineering statistics course at Georgia Tech and we have an exam coming up this week and I was looking through my notes and seeing that when we standardized, we used two different formulas. Sometimes we used what you just showed, and sometimes we used sigma / sqrt(n). Or sometimes, we use a sample variance and do stuff with it. Do you have any videos on something like that? I've been thoroughly lost:\

  • @nopecharon
    @nopecharon Жыл бұрын

    thank you for these awesome lectures!!

  • @masih3184
    @masih318410 жыл бұрын

    couldn't be explained any better...!!

  • @jbstatistics

    @jbstatistics

    10 жыл бұрын

    Thanks!

  • @YG-dj1mr
    @YG-dj1mr7 жыл бұрын

    YOU ARE AMAZING! the best explanation ever! And why you stop uploading videos :((( miss you and please come back sir! btwi love jimmy Snoothouse so much

  • @jbstatistics

    @jbstatistics

    7 жыл бұрын

    Thanks so much! I'm going to get back to video production this year. I promise! Thanks for the Jimmy & Mr. S. love, I think they are underappreciated :)

  • @jbstatistics
    @jbstatistics11 жыл бұрын

    You are welcome!

  • @rkb6988
    @rkb69887 жыл бұрын

    sir plz help me to solve this... ** Given a normal distribution with a mean of 60 and sd of 14, n=100 what percentage of cases will lie between the score of50 and 65??

  • @jbstatistics
    @jbstatistics11 жыл бұрын

    Thanks so much! I'm a little boisterous by nature, and that can sometimes come off as a little over the top in videos. I try to rein myself in a little bit in my recent videos.

  • @adityashikhar6143

    @adityashikhar6143

    3 жыл бұрын

    Sir you are great. A timeless beauty

  • @jbstatistics
    @jbstatistics12 жыл бұрын

    Thanks!

  • @kumixiao4583
    @kumixiao458310 жыл бұрын

    i just got a question, the example #3 i very confuse the z=1.28. how can i got that value?? looking forward your answer,and your video is very good!!!

  • @jbstatistics

    @jbstatistics

    10 жыл бұрын

    Thanks! You can find the value 1.28 from software or a standard normal table. There are different varieties of standard normal table, and I have videos outlining how to use them.

  • @93gretamat

    @93gretamat

    10 жыл бұрын

    jbstatistics soooo,I USE IT.. and its doesnt make any sense .. maybe i dont know.. but it can be more than 1… or can be

  • @jbstatistics

    @jbstatistics

    10 жыл бұрын

    An area under the curve (which is a probability) must lie between 0 and 1. But a standard normal random variable can take on any finite value. For example, as given in this video, z = 1.28 has an area to the left of 0.90. The z value most definitely does not have to be between 0 and 1. If you don't know how to find values under the standard normal curve, I strongly recommend you stop doing anything else until you learn how to do that. (I have videos outlining how to use the table.) Trying to learn topics that involve the normal distribution, when one doesn't know how to find standard normal areas and percentiles, is not an efficient use of one's time.

  • @johndough7479

    @johndough7479

    5 жыл бұрын

    I still can't decipher how you got Z = 1.28 from .9? Good videos! ;)

  • @TheMohVEVO

    @TheMohVEVO

    5 жыл бұрын

    @@johndough7479 Basically you just do the same procedure but in reverse. so look at your table and look at all the probability values, once you find the value that is 0.9 or closest to 0.9 you will find that it equals a Z value of 1.28.

  • @busybeetleasmr6754
    @busybeetleasmr67544 жыл бұрын

    can someone tell me why isit needed to STANDARDize a normla distribution? Im desperate.

  • @victorserras
    @victorserras7 жыл бұрын

    I went to Khan Academy and after watching 2 videos i still hadn't found how to standardize the normal distribution.. thank you.

  • @jbstatistics

    @jbstatistics

    7 жыл бұрын

    You are very welcome!

  • @leejohnson197733
    @leejohnson197733 Жыл бұрын

    this is very useful, but im struggling to apply it to my practise questions, mean 21.8 deviation 1 create a graph to show between 19-24

  • @IIAndersII
    @IIAndersII8 жыл бұрын

    incredible video, exactly what i needed!

  • @jbstatistics

    @jbstatistics

    8 жыл бұрын

    +IIAndersII I'm glad I could help!

  • @phymath-jisanislam9639
    @phymath-jisanislam96396 жыл бұрын

    How could (x-mu)/sigma has a standard deviation of 1?

  • @jbstatistics

    @jbstatistics

    6 жыл бұрын

    Suppose we let Z = X/2. The standard deviation of Z will be half the standard deviation of X. In general, if we multiply a random variable by a positive constant, the standard deviation gets multiplied by that constant. This is not too hard to show, starting from the definition of the variance. Adding or subtracting a constant doesn't change the variance. So if X has a standard deviation of sigma, then the standard deviation of (X-mu)/sigma is sigma/sigma =1.

  • @Aforce90
    @Aforce9010 жыл бұрын

    YOU ABSOLUTE LEGEND!!!!!!!!!!!!, YOU DIDNT BORE ME ONE BIT, SUBSCRIBED!!

  • @grandpappy1195
    @grandpappy11954 жыл бұрын

    This video helped me pass my midterm

  • @NoPayneNoGainX
    @NoPayneNoGainX9 жыл бұрын

    you the man jb

  • @acepriority4042
    @acepriority4042 Жыл бұрын

    love all your content been helpful but i have a concern on the z value for the 90th percentile. i think it's supposed to be 1.29 rather than 1.28.

  • @acepriority4042

    @acepriority4042

    Жыл бұрын

    will be grateful for a positive feedback. thank you!

  • @jbstatistics

    @jbstatistics

    Жыл бұрын

    @@acepriority4042 In R: > qnorm(.9) [1] 1.281552

  • @leahwilliams9400
    @leahwilliams94005 жыл бұрын

    before reading fast version I was wondering why he was talking sooo fast thought he drank some coffee or was super excited about this

  • @johnbarneswood
    @johnbarneswood5 жыл бұрын

    Great stuff dude. Thank you

  • @Fsp01
    @Fsp013 жыл бұрын

    Brilliant stuff!

  • @montdher101
    @montdher1013 жыл бұрын

    wonderful specially with this tune

  • @gregoryoruko
    @gregoryoruko3 ай бұрын

    This is even harder than I thought

  • @dekauali2702
    @dekauali27025 жыл бұрын

    YOU ARE GORGEOUS !!

  • @prathamthakkar8496
    @prathamthakkar849610 жыл бұрын

    i went through all of your playlist last night and i think i am gonna ace today's exam. PS- You sound like white canadian version of morgan freeman ! (Y)

  • @plankthatshit
    @plankthatshit10 жыл бұрын

    If all my teachers/lecturers spoke like sports commentators I'd never have trouble concentrating :) ty

  • @faizakhantanima3491
    @faizakhantanima34919 жыл бұрын

    Thanks so much ! This was brilliant ♥♥

  • @MrDokshowof
    @MrDokshowof10 жыл бұрын

    Hi, I just got a question, when you standardised the distribution to find the probability of the height between 170. cm and 180.0 cm = P(-0.887 Can you please clarify on this matter and thank you for these great videos.

  • @jbstatistics

    @jbstatistics

    10 жыл бұрын

    Thanks for the compliment about my videos, and you are welcome. Your value of 0.1148 is P(Z < 0.88) - P(Z < 0.52). We're looking for (approximately) P(Z

  • @MrDokshowof

    @MrDokshowof

    10 жыл бұрын

    Thank you for the reply, I really appreciate it.

  • @sidhurokrz

    @sidhurokrz

    8 жыл бұрын

    +jbstatistics So that is P(Z0.88)=0.1894 (normal right tailed table) ie. 0.6985-0.1894=0.509. Is this right? May be more accurate value would come up to 0.511 I guess, isn't it?

  • @jbstatistics

    @jbstatistics

    8 жыл бұрын

    +sidhurokrz The values I give in the video are based on software (without rounding). If you use a table (with z values to 2 decimal places, and the probabilities rounded to 4 dp), then there will often be a small difference due to rounding error. Here, we cold use a table to find P(-0.89 < Z < 0.52) = P(Z < 0.52) - P(Z < -0.89) = 0.6985 - 0.1867 = 0.5118.

  • @sidhurokrz

    @sidhurokrz

    8 жыл бұрын

    +jbstatistics okay got it. well I'm lucky to have found your channel, You have answers to all my silent questions which I had during my stats class. I appreciate the efforts you have put in.Thanks for such conceptual explanation.

  • @chisteeze
    @chisteeze11 жыл бұрын

    Great video! I was just wondering how you found the 90th percentile to be 1.28?

  • @adityashikhar6143

    @adityashikhar6143

    3 жыл бұрын

    Well after 7 years, by use of tables of standard normal variable

  • @michellerayeonpark7142
    @michellerayeonpark71425 жыл бұрын

    This is super helpful! Thanks so much

  • @jbstatistics

    @jbstatistics

    5 жыл бұрын

    You are very welcome!

  • @jxcxtxl
    @jxcxtxl12 жыл бұрын

    How do you make stat look sooo easy! And now i understand it! :D

  • @gurjasrai9278
    @gurjasrai92786 жыл бұрын

    I wish you were my prof ur voice is the best

  • @kanfspfsp
    @kanfspfsp10 жыл бұрын

    great ascent

  • @regularviewer1682
    @regularviewer16827 жыл бұрын

    JB statistics, whoever you are, wherever you are thank you.

  • @jbstatistics

    @jbstatistics

    7 жыл бұрын

    I'm me, and I'm right here. You are very welcome!

  • @vansikasingh3228
    @vansikasingh32283 жыл бұрын

    Thank you so much!

  • @billygraham5589
    @billygraham55893 жыл бұрын

    Why does the quantity x - u = zero at the 0:50 point in the video?

  • @jbstatistics

    @jbstatistics

    3 жыл бұрын

    It doesn't equal 0, it has a mean of 0. The mean of X is mu. The mean of X - mu is 0. More formally, E(X - mu) = E(X) - E(mu) = mu - mu = 0 (since the expected value of X is mu, and the expected value of a constant is just that constant).

  • @billygraham5589

    @billygraham5589

    3 жыл бұрын

    @@jbstatistics Thanks

  • @TheWanderingSageK5
    @TheWanderingSageK511 жыл бұрын

    when ive got my skyrim disc sitting next to me calling my name..... lol, but seriously good job, i think your voice kept me interested somehow lol :p

  • @valeriereid2337
    @valeriereid2337 Жыл бұрын

    Finally I understand standardizing. Whew!

  • @TheWanderingSageK5
    @TheWanderingSageK511 жыл бұрын

    awesome thanks, didnt even seem boring lol!

  • @futbolplayercr7
    @futbolplayercr711 жыл бұрын

    Thanks, I'll take a look right now. You should've taught at Tech! That would've been one better professor here haha

  • @TheSexyjm
    @TheSexyjm3 жыл бұрын

    Future career in sports commentator

  • @theedguardian
    @theedguardian11 жыл бұрын

    For the second example, isn't the P-Value of .521 = .6950? The P-Value of -.521 is .301.

  • @lostfan10000
    @lostfan100008 жыл бұрын

    You started sounding like Scott Manley for a bit at the end of the video. Love the enthusiasm. :D

  • @willwall4859
    @willwall48592 жыл бұрын

    Sold!

  • @TheMizzthang03
    @TheMizzthang0310 жыл бұрын

    Thank you so much I wish i had you here with me to help my understand more. Sometimes i make things more difficult when there not. Then i was going to ask you to go slower a little for the slow math people but I saw the link about Thanks. This one person puts videos up and doesnt even talk uhm booooo.

  • @gavinaren8534
    @gavinaren85343 жыл бұрын

    Quality video

  • @themonkeyonyourback
    @themonkeyonyourback8 жыл бұрын

    thank you so so much.

  • @jbstatistics
    @jbstatistics11 жыл бұрын

    You're welcome! How could standardizing a random variable ever be boring?

  • @jamesdiaz6760
    @jamesdiaz676011 жыл бұрын

    Thank you this is very good video. Also you shouldn't care what people think about your voice or how you decided to teach what you know. There people are coming to you for FREE math help. You have to pay for this kinda stuff elsewhere. You should just do your videos anyway you want and if people have a problem with it, they can suck it. I've seen your other videos and I prefer this video, thanks again.

  • @hiddensoul4137
    @hiddensoul41372 жыл бұрын

    How the variance is 7.1? Wasn't it N(0,1) so 1?

  • @jbstatistics

    @jbstatistics

    2 жыл бұрын

    Height isn't N(0,1); it's normal but has a mean of 176.3 and a standard deviation of 7.1. Once we standardize (subtract the mean and divide by the SD, we get a variable that's N(0,1)).

  • @viveknaithani
    @viveknaithani6 ай бұрын

    you are genius!!

  • @jbstatistics

    @jbstatistics

    5 ай бұрын

    Nope, but thanks!