Discrete and continuous random variables | Probability and Statistics | Khan Academy

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  • Опубликовано: 4 ноя 2024

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  • @Zhim94
    @Zhim94 5 лет назад +1190

    For those who don't quite understand, discrete R.V is for counting; continous R.V is for measuring.

    • @abhineelnandi8211
      @abhineelnandi8211 4 года назад +123

      Entire Video in a single line.

    • @notjin2109
      @notjin2109 4 года назад +12

      what’s the difference between counting and measuring

    • @user-en5gm1vw3c
      @user-en5gm1vw3c 4 года назад +59

      @@notjin2109 counting means for example we count monthly income of a person but we will not measure that... Same way we measure the weight of a person but we don't count that

    • @notjin2109
      @notjin2109 4 года назад +7

      1234 5678 I would like a difference that doesn’t rely on examples because i can’t think of a difference that linguistically matters

    • @anaforero6108
      @anaforero6108 4 года назад +35

      ​@@notjin2109 Discrete is a word used to refer to something that can have "separate fixed values", one example is integer numbers. Continuous is a word to refer to things that are difficult to assign a separation between two things (values), or in other words: that separation can be neglected (one number is exactly next to the other number).

  • @judsonl8990
    @judsonl8990 4 года назад +699

    I'm going to COVID's version of a university right now - these Kahn Academy videos are way more helpful than my stats professor.

    • @cashele
      @cashele 4 года назад +9

      tell me about it!

    • @pradipteeshrestha4097
      @pradipteeshrestha4097 4 года назад +21

      I'm not in college, but I am a senior taking an AP Stats course and my teacher isn't much help, so I agree! It's my worst class this year and never understand what's happening.

    • @briantarrant4907
      @briantarrant4907 3 года назад +2

      no kidding

    • @andrewperez8190
      @andrewperez8190 3 года назад +1

      bruh for real..same

    • @arianachu9834
      @arianachu9834 3 года назад

      me either

  • @mainguy5387
    @mainguy5387 Год назад +66

    I asked Chat GPT to explain like im 5 years old
    "Alright, imagine you have some marbles. Discrete variables are like counting how many marbles you have. You can have 1 marble, 2 marbles, 3 marbles, and so on. Each number is separate and you can't have half a marble or a quarter of a marble.
    Now, think about a jar of water. Continuous variables are like measuring how much water is in the jar. You can have a little bit of water, a medium amount, or a lot, and you can also have in-between amounts like half-full or one-third full. There's no limit to how much water you can have, and it can be any amount, not just whole numbers.
    So, discrete variables are like counting marbles, where you can only have whole numbers, and continuous variables are like measuring water, where you can have any amount, even parts of it."

    • @delglory5494
      @delglory5494 Месяц назад

      Excellent, thank you

    • @AVPDS99
      @AVPDS99 5 дней назад

      Thank you sooooo much ❤

  • @DerrickTay88
    @DerrickTay88 8 лет назад +258

    I dont usually comment on such videos. But this is way too easy to understand from his explanation. I would have A's any class if all my lecturer are like him. Thumbs Up !!!

  • @pearcei
    @pearcei 10 лет назад +479

    we spent a whole day on just the definition of discrete vs continuous variables in class and i still didn't know it and then i learned it in less than 3 minutes here

  • @killerqueen5624
    @killerqueen5624 2 года назад +11

    I like the small snippets of commentary that are added into the lesson, like ants learning interstellar travel and how Usain Bolt is aging. It makes the video so much more fun to watch lol.

  • @khushigupta5904
    @khushigupta5904 9 месяцев назад +7

    Khan Academy, you guys are doing a wonderful job. I was feeling dumb in class when it came to this topic but now I understood everything. Sad to see how the classroom learning doesn't help most of us.

  • @AIONBERSERKER
    @AIONBERSERKER 8 лет назад +32

    My professor made this whole thing seem so complicated. You explained it in less that 15 minutes :D

  • @cashele
    @cashele 4 года назад +83

    "the New Orleans zoo where I grew up" lmaooo

  • @khanacademy
    @khanacademy  12 лет назад +18

    Good question. It is not a question of the size of the population you are sampling from. It is a question of the possible values that each sample can take on. Mass can take on any value (including an irrational number if we don't get caught up with quantum mechanics) so it is a continuous random variable.

  • @thinkfeelsolve
    @thinkfeelsolve 4 года назад +33

    Thank you, sir.
    Discrete random variables cannot be broken down into decimals or fractions.
    There is no half an ant or half a person. but there can be half a second and one-fourth of a meter.
    Discrete things are counted.
    continuous things are measured.

  • @mithurajdas225
    @mithurajdas225 4 года назад +7

    a good example of continuous random variable:Reading the temperature of a room throughout the day ,its continuous since the temperature does not jump from 20 degrees to 22 degrees.so its continuous process.

    • @davidthomas9276
      @davidthomas9276 9 месяцев назад

      Right. And that is the problem I have with the zoo animal mass example. The masses do jump from one to the next,. They do not take on every value within the range. If you plot the masses, they are distinct, separate points. Thus, to me, the variable is discrete.

  • @s_kaukab
    @s_kaukab 3 года назад +5

    That was one good explanation, I've always stumbled upon how the heights or weights in a class are not discrete random variables, thanks Sal!

  • @Chloe-jz4pr
    @Chloe-jz4pr 4 года назад +7

    Thanks for this video!! I was learning these definitions through online school due to quarantine and I just couldn't understand it. But this video helped me to finally get it. (:

  • @tarunt9153
    @tarunt9153 Год назад +7

    Just looked it up, the teacher was pretty much on point, elephants range from about 2,000-7,000 kg.
    (4,000-14,00 pounds)

  • @pervertbismarck5067
    @pervertbismarck5067 4 года назад +49

    I learnt more in 11 minutes than 1 months. We need more teachers like him.

  • @thomasip9938
    @thomasip9938 8 лет назад +13

    You are a lot clearer than my teacher!

  • @reeceperry2237
    @reeceperry2237 Год назад

    Glad to hear you are from New Orleans. Currently studying for my stats final at Tulane.

  • @skatershawn410
    @skatershawn410 8 лет назад +12

    Love how he called out Bolt would win in the 2016 Olympics!

  • @PolskaBabii
    @PolskaBabii 6 месяцев назад

    I have been using your videos for quite some time! Cant believe you are from New Orleans! Awesome

  • @HopeAndrea_HFG
    @HopeAndrea_HFG 3 года назад

    Thank goodness I came across this video. Why is my textbook so ridiculously hard for no reason?! Serenity NOW!

  • @TheIanmurphy
    @TheIanmurphy 10 лет назад +21

    Bacterium is the singular form of the noun, and bacteria the plural form - always learning new stuff when I watch your videos!

  • @elizaeliza3907
    @elizaeliza3907 8 месяцев назад

    This is a very good explanation. My lecturer used the same examples as yours, probably watched ur video and I still couldn't understand. Now all is crisp clear

  • @yourflamingdeath2315
    @yourflamingdeath2315 Год назад +1

    Thank you once again sensei.

  • @the_growth_mindset.
    @the_growth_mindset. 5 лет назад

    I honestly don't know where I'd be without you Sal !

  • @Mathletelady
    @Mathletelady 3 года назад +1

    Thank you!

  • @alfianabdulhalin1873
    @alfianabdulhalin1873 8 лет назад +30

    LOL! Polite variables... Thanks for the great vids tho! Helps a lot with the fundamentals!

  • @jonathanlind5725
    @jonathanlind5725 10 лет назад +4

    Very good explaining, I've had a hard time distinguishing the difference between disc. and cont. variables and you managed to tackle the very questions I had. Thank you!

  • @andrewzhu5294
    @andrewzhu5294 7 лет назад +8

    When I read the textbook on this topic, it just made my brain literally hurt. But when Khan explained this same exact topic, I understood it completely and I swear my brain relaxed.

  • @bibekanandabhattacharjee952
    @bibekanandabhattacharjee952 3 года назад

    You are just too good at explanation. You are so articulate. Please continue with your style of teaching and don't get distracted by your critics. If there is one person who dislikes your style there are 100 others who like your lectures. Please carry on. I now know what is a RV. :-D

  • @deborahachor9831
    @deborahachor9831 8 лет назад +1

    thanks a lot,i was reading my course material and i did not understand anything.but with this video there is clarity and simplicity

  • @ahlamadel5467
    @ahlamadel5467 5 лет назад +1

    Your handwriting is beautiful!
    Here is a student from Saudi.
    Thanks.

  • @somber087
    @somber087 Год назад +1

    These short and free videos help me more than my paid teacher in an hour

  • @SaraAhmed-fp1vi
    @SaraAhmed-fp1vi 4 месяца назад

    Hello, I am a student from Iraq, and I study mathematics in the College of Science. I love mathematics very much, and your channel is also very wonderful. Continue like this.🤍

  • @ranaabdullahranaabdullah3296
    @ranaabdullahranaabdullah3296 3 года назад

    I love you sir so much.
    I search from morning about some concepts like what is difference between Summation and integral. I watch your and other channnels vedios and also read 9 10 articles.
    I actually want to know that why summation is discrete and integral is continuous . I actually know that what does it mean that value is discrete and that function is continuous. I also know that why we take time approach to 0 in differentiation.
    So I searched and I found that basic after 4 hours search
    Thank you for clear my one concept and doubt.

  • @miyamorgan297
    @miyamorgan297 3 года назад +1

    Some infinities are bigger than other infinities 7:12

  • @manmohansingh8211
    @manmohansingh8211 5 лет назад +5

    I really wish my lecturer were close to being this good at teaching

  • @mrjrpnls829
    @mrjrpnls829 2 года назад

    You explained every details, you are better than my subject teacher ily 😭❤

  • @rachelkimemia5897
    @rachelkimemia5897 4 года назад +2

    merci beaucoup Monsieur :)

  • @amalnazir8140
    @amalnazir8140 3 года назад +11

    Why is no one talking about when he said “maybe some ants have figured out some interstellar travel” 😂 7:58

  • @deathsangel123
    @deathsangel123 10 лет назад +1

    Thank god for your videos! Have my stats final on Monday and this really helped me understand what is going on.

    • @RB3Vids
      @RB3Vids 10 лет назад

      Thank Science

  • @Nachiket_upadhye_23
    @Nachiket_upadhye_23 4 года назад +1

    Sal and grant will be invisible pillars of the foundation of next generation mathematicians. 100 years from now, people might forget about you but you would have created 1000 of mathematicians by then

  • @thewilloffire4335
    @thewilloffire4335 3 года назад

    He summed up Statistics in 1 Video...This is where statistics begin

  • @princessmeimban8244
    @princessmeimban8244 4 года назад

    I thought i lost hope in understanding the discrete and continuos r.v ....then i watched this video!! IT WAS SO EASY to understand thanks

  • @sumit121285
    @sumit121285 3 года назад

    its definitely clears our confusion in between discrete & continuous random variables..... thankyou sir , thankyou so much....

  • @user-zw3rg2go4o
    @user-zw3rg2go4o 8 лет назад +1

    استفدت كثيرا 👍+ صوتك رائع ما شاء الله. thank u so muce

  • @chinanumberone7723
    @chinanumberone7723 5 лет назад +3

    Argued this with my friend today and he kept saying I was wrong when I was saying continuous is where it is like an irrational number, they can have no ending, no precise number, or infinite values within two numbers, I knew I was right

  • @reemabdullah9905
    @reemabdullah9905 3 года назад

    Best Description ever! big like

  • @elizabethafu8182
    @elizabethafu8182 8 лет назад +2

    This video helped me so much thank you wish you were my professor! thank you thank you thank you!!!!

  • @thewisearchitect
    @thewisearchitect Год назад

    You have explained a tricky topic in a very easy to understand way. Thank you.

  • @ag6194
    @ag6194 4 года назад +5

    @khan’s academy: What about age? Is it discrete or Continuous or will it depend on how it is expressed?

    • @The_Mr_Avocado_Man
      @The_Mr_Avocado_Man 3 года назад

      I think age can be thought of like when he did the year example

    • @nightstarry6350
      @nightstarry6350 3 года назад

      If you think age in terms of how many years has passed (25-years-old, for example), then it's a discrete variable; If you think age in terms of the exact time, then it's continuous because it can take on any values (1.127287487847 year, for example)

  • @FatimaAlmamari-g3y
    @FatimaAlmamari-g3y Год назад

    Thank you for being a better teacher than my professor

  • @designhub360customapparel
    @designhub360customapparel Год назад

    Thank you! I was about to drop this Business Analytics course at Udacity..

  • @AlexzandrSpringvale
    @AlexzandrSpringvale 11 лет назад +11

    9:10 "It probrably be Usain Bolt, but it may not be. Actually he is again a little bit." That's classic Salman Khan.

  • @binhbietboi
    @binhbietboi 4 года назад

    Thank you very much.

  • @alykatequevasz4324
    @alykatequevasz4324 4 года назад

    This is very helpful. Thanks to this video

  • @CrackHeadsLegion
    @CrackHeadsLegion 12 лет назад

    I wish I had teachers like you

  • @fernandopellegrini8598
    @fernandopellegrini8598 7 лет назад

    I´ve finally understood the difference thanks!

  • @pinkflower4424
    @pinkflower4424 7 лет назад +2

    Thank you khan academy very much 😍😍😍

  • @agpp-24
    @agpp-24 2 года назад

    Thank you very much. It is very helpful.

  • @mariasaidawi3982
    @mariasaidawi3982 7 лет назад +1

    Thanks a lot... I finally understood them.

  • @oprabin
    @oprabin 7 лет назад +176

    2:36
    bro, you grew up in a zoo?
    XD

  • @BrylleMondejar-z1i
    @BrylleMondejar-z1i 8 месяцев назад

    Thanks for this i know how to now

  • @romeiyu3491
    @romeiyu3491 5 месяцев назад

    thank you so much for this

  • @stephelton
    @stephelton 4 года назад

    So... similar to countable vs. uncountable infinity... Discussing real numbers vs. integers might clear this up well for some people.

  • @khadeshaalexander7096
    @khadeshaalexander7096 5 лет назад

    thank u this made me understand things clearer

  • @theTeamSlayer353
    @theTeamSlayer353 12 лет назад

    explained it soooooo much better than my math teacher

  • @climbmotoadv1550
    @climbmotoadv1550 2 года назад

    thank you! good

  • @FahadAyon
    @FahadAyon 2 года назад

    Great explanation. Many thanks

  • @zerwinandrepanganiban3869
    @zerwinandrepanganiban3869 6 лет назад

    That last example enlightened me. Thanks for this vid

  • @VitalySobol
    @VitalySobol 12 лет назад

    Please make a lesson about Markov model, about hierarchy of intelligence and how it actually works. It's should be interesting and relevant information.

  • @fishtacosyt8835
    @fishtacosyt8835 2 года назад

    Really helpful vid! If only my stats teacher was as helpful as you.

  • @gym5959
    @gym5959 2 года назад +1

    The exact winning time is continous as a consequence of the uncertainties in the measuring devices , so the winning time can never be measured accurately (because we can never have a instrument without uncertainty in its measurements). Thus the winning time will always be bounded to some interval how ever small it maybe it has uncountable number of infinite values thus it is a continous variable.

  • @nathamha
    @nathamha 7 лет назад

    In the lecture I attended, the teacher said the best way to tell the diference is to see if the numbers the random variable takes are natural numbers then it's likely a discrete variable, on the other hand if the value the random variable takes is a real number then it might be a continous random variable.

  • @PrincessGabriela1
    @PrincessGabriela1 Год назад

    Thanks for an awesome video

  • @mayankbhandari3536
    @mayankbhandari3536 7 лет назад +1

    I personally think that Discrete random variable can be identified by a simple test as following, "If bound in a range given by two finite numbers, if the random variable takes infinite values then it cannot be a discrete random variable".

  • @mariachow4353
    @mariachow4353 8 лет назад +10

    lol when he said, "discrete can mean polite. we are not talking about random variables that are polite."

  • @bendervie
    @bendervie 12 лет назад

    Because of Planck's constant, you could say that any mesure in length, masse, time ect is a discrete variable.

  • @jafarvalishaik9706
    @jafarvalishaik9706 6 лет назад

    Very Nice explanation on discrete vs continuous variables

  • @satyam100c
    @satyam100c 3 года назад

    Thanks alottttt khan academy team for ur selfless service i will always be ur fan ♥️ and sir ur sense of humour is really great I haven't got bored for even a second....now i got to know ki " padhate kaise h"...ie how to really teach someone

  • @chandrajyothibojjapu9566
    @chandrajyothibojjapu9566 3 года назад

    Thank you so much sir

  • @msentence1
    @msentence1 3 года назад

    Thank you for this. I’m able to understand now. Your explanation and examples helped a lot.

  • @cherrymaeremedios9125
    @cherrymaeremedios9125 5 лет назад

    thank you so much for your youtube channel Khan Academy.

  • @dhruvsinghal4194
    @dhruvsinghal4194 4 года назад

    this teacher is fun

  • @divineestheticsskinhair5497
    @divineestheticsskinhair5497 8 лет назад +30

    I like the ant example.

  • @ScilexGuitar
    @ScilexGuitar 7 лет назад +1

    He actually predicted the 100 m dash four years in advance :O Thats impressive

  • @nethrakashyap8729
    @nethrakashyap8729 3 года назад +1

    You are blessed with a witty sarcasm! 🤣

  • @datsmydab-minecraft-and-mo5666
    @datsmydab-minecraft-and-mo5666 4 года назад

    Amazing video, it feels like im using a cheat code! whenever i watch these videos, and understand it much better.

  • @hyqhyp
    @hyqhyp 6 лет назад

    Because of QM, both exact mass and exact time are discrete. Which begs the question, are there any physical continuous variables? Remember ... as per the title of Hawking's book ... the rest is man's work.

  • @msoclassychik
    @msoclassychik 8 лет назад +57

    lol Yes, Usain won the 100m

  • @XavierXe
    @XavierXe 4 года назад +3

    His voice have more vibrations than my cellphone
    And its vibrating my ears 👂

  • @oren9836
    @oren9836 6 лет назад

    ARIGATO I NEEDED THIS LESSON FOR MY PROJECT

  • @1young769
    @1young769 4 года назад

    i want this man to be my statistic professor

  • @romeofuertes633
    @romeofuertes633 7 лет назад

    thanks your a big help i hope you have input some test on your video

  • @samwelkariuki3114
    @samwelkariuki3114 Год назад

    thank you

  • @yayatoure4427
    @yayatoure4427 8 лет назад +3

    Thank u so much man, really appreciate it

  • @andrewvillarreal2152
    @andrewvillarreal2152 4 года назад

    so discrete random variable are for things that you can count and continuous random variables are for things you have to measure. But, if you're measuring something and you round it it can turn into a discrete?

  • @chuuyang5608
    @chuuyang5608 4 года назад

    Thank you for this! It helped a lot.

  • @RobertoSilva-hj9yn
    @RobertoSilva-hj9yn 5 лет назад

    Thank you very much, it was a very clear and helpful explanation

  • @GAment_11
    @GAment_11 4 года назад

    You make learning fun.