Normal Distribution: Calculating Probabilities/Areas (z-table)

Поділитися
Вставка
  • Опубліковано 1 лип 2016
  • This tutorial shows how to calculate areas/probabilities using the cumulative standard normal tables.
    For 0 to Z tables: • Normal Distribution | ...
    For inverse lookup: • Normal Distribution: ...
    Steps for calculating areas/probabilities using the cumulative normal distribution table:
    1. Translate the score (x) into a z-score:
    2. Find the corresponding area from the z-table.
    3. i) For less than area/probability, the area in the table is the answer.
    ii) For greater than area, subtract area in the table from 1.
    iii) For area between, subtract smaller area from larger area.

КОМЕНТАРІ • 1,2 тис.

  • @adarsshsr9892
    @adarsshsr9892 3 місяці тому +195

    For those who came here with their exams tomorrow

    • @grocklover9904
      @grocklover9904 3 місяці тому

      😂😂😂😂

    • @awesomebush8711
      @awesomebush8711 Місяць тому +4

      In 11 hours lol

    • @gokulks6752
      @gokulks6752 Місяць тому +5

      Today, in 3 hours time

    • @awesomebush8711
      @awesomebush8711 Місяць тому +1

      @@gokulks6752 how did you do?

    • @gokulks6752
      @gokulks6752 Місяць тому

      @@awesomebush8711 they gave a couple of values (not Z score) and asked to find mean and variance, not the way I prepared sadly. I messed up. But I did answer the other parts, so I'm confident I will pass. How did yours go??

  • @tanyaloki3751
    @tanyaloki3751 5 років тому +1384

    You taught me in 5 minutes what my teacher couldn't in 4 hours. Thank you!

  • @kyliesmommy84
    @kyliesmommy84 Рік тому +113

    6 years later, you’re still explaining what my professor can not! Thank you, thank you, thank you!!!

    • @fupiuganda7025
      @fupiuganda7025 Рік тому +1

      How do u get the 0.02 there up

    • @EphraimMense
      @EphraimMense 5 місяців тому

      I have a question. After finding our Z for example, his first exercise it was -1.2 so according which criteria should we choose 0.02? in order to find its region. I'm confused I need explanation please. Thank you

    • @susannah8342
      @susannah8342 2 місяці тому

      ​@@EphraimMenseThere are 2 decimal places in -1.22. The first decimal place is 0.2 which is included in -1.2 and the second decimal place is 0.02. Hope this helps!

    • @EphraimMense
      @EphraimMense 2 місяці тому

      @@susannah8342 Thank you!

  • @copperwater8456
    @copperwater8456 4 роки тому +147

    This is the first time I've ever fully understood this. Holy shit why can't all teachers just explain it like this...

    • @sohandandekar8976
      @sohandandekar8976 3 роки тому +2

      I don't think if this is the first video you are watching you'll understand the concept. I also loved the video have given my thumbs up. But this was a revision for me. I had learnt this earlier, 2 years back.

    • @marybothsbonadorhmb
      @marybothsbonadorhmb 3 роки тому +7

      Agree simply because your teacher already introduce the lesson that helps to understand this video lesson better so better appreciate your teachers effort🙂

  • @rf1170
    @rf1170 5 років тому +26

    Not only is this an accessible explanation, the production of the video is top-notch, too! Thank you for sharing it.

  • @peachlife5118
    @peachlife5118 5 років тому +1323

    Who else is doing stats homework??

  • @zahidhashim6902
    @zahidhashim6902 2 роки тому +29

    this deserves million of views. Thank you for explaining something in 5 minutes which my teacher and other youtube videos could not explain in hours.

  • @DIFUSION_TV
    @DIFUSION_TV 4 роки тому +15

    this is absolutely perfect. Couldnt remeber this for like 3 years, and suddently it came back at me. thank you very much

  • @josephmwilu6917
    @josephmwilu6917 Рік тому +21

    Who else has a test in a couple of hours?

  • @glizzard1894
    @glizzard1894 3 роки тому +43

    Thank you sir! Finally a simple explanation in plain language! I won't lie. I've cried more than once this semester because of college stats. This video is a relief. You have a wonderful ability to convey a difficult concept. I assume you are a teacher. If not, you should be. You're a natural at this.

  • @ericathomas1095
    @ericathomas1095 5 років тому +234

    taking a stats exam tomorrow.. i couldnt grasp this concept until i watched this video, thank you so much it was very clear and informative

  • @avrodipbiswas7293
    @avrodipbiswas7293 2 роки тому +6

    You're a life saver. I was stuck with this problem for last three hours! And you just revealed it within such a short time!!!

  • @ATorres0821
    @ATorres0821 6 років тому +16

    Thank you very much Joshua for having demonstrated the meaning of z-scores so clearly!

  • @ahmedabdelnasser175
    @ahmedabdelnasser175 3 роки тому +10

    As an AI student, I've been suffering from this for months, you made it alot easier for me. Thanks a lot!

  • @Ada-ld6cc
    @Ada-ld6cc 3 роки тому +24

    Thank you so much! I’m in eighth grade and I didn’t understand this lesson since we were only given worksheets and left to understand it alone. This really helped. I checked other videos but it made me confused more. While this literally helped me understand and helped me what the tables are for. Now I can finally answer my assessment and enjoy summer vacation☺️

  • @JGratsch
    @JGratsch 5 років тому +4

    Thank you for these videos-they are extremely helpful and well thought out - and your voice is very calming. You’ve helped me several times and I greatly appreciate it.

  • @xx_beleza_xx
    @xx_beleza_xx 4 роки тому +9

    This is amazing, I even had to leave a review. Keep on doing such tutorials, it really helped. Thank You so much

  • @sunshinedesignsandmore4074
    @sunshinedesignsandmore4074 5 років тому +5

    OH MY!!! THIS WAS AWESOMELY AMAZING!!! I've been doing this statistics for 4 weeks now and this is the only time I get it after watching this video. THANK YOU!!

  • @TheInspired79
    @TheInspired79 3 роки тому +7

    I just read the whole chapter in my textbook. Thank you so much for this, this makes so much more sense.

  • @SunDown617
    @SunDown617 Рік тому +4

    Ive been struggling with the z-table and you just made it feel so much easier in 5 minutes. Thank you so much

  • @doublev7642
    @doublev7642 3 роки тому +11

    Sir, you are a lifesaver! Thank you for this informative, and concise lesson.

  • @ojehani
    @ojehani 5 років тому +3

    This video was extremely helpful, step by step instructions in a very well presented video. Thank you very much Joshua!

  • @trever5483
    @trever5483 4 роки тому +1

    after watching around 30 hours videos finally get into idea by help of this blessing man thanks mate

  • @rosehoney4974
    @rosehoney4974 2 роки тому +2

    What a great explanation! Clear concise and to the point. Really admired you.Thank you soooo much.

  • @sk-or4sz
    @sk-or4sz 4 роки тому +4

    Got my Stats test tomorrow and your videos are a Savior. Gracias!! :)

  • @asadmohammad6938
    @asadmohammad6938 5 років тому +5

    Thank you so much for the great video!!! I sincerely appreciate your effort and clarity in explaining the concepts :)

  • @fatinistiaque5892
    @fatinistiaque5892 Місяць тому

    This is how actual statistics classes should be! Precise and simple. Watching this video clears my concept every time!

  • @gaarafan14thedarkknight63
    @gaarafan14thedarkknight63 5 років тому +1

    You just saved a first-year college student with this wonderful explanation. Thank you so much!

  • @stk57thst
    @stk57thst 3 роки тому +4

    Prepping for my FE (other disciplines) and this is perfect explanation! Thank you.

  • @026martin
    @026martin 3 роки тому +5

    Needed a refresher course in stats for a computer class. This was one of the clearest and concise explanations I have encountered. Thank You!

  • @agentstona
    @agentstona 2 роки тому

    THE BEST tutorial ever ..... beats my crappy university lectures who spend hours and this guy manages to teach it GRACEFULLY and perfectly in 5 minutes . THANK YU

  • @kayleighsinnott7188
    @kayleighsinnott7188 3 роки тому +1

    Thank you so much! I have been struggling on this for a week and this video explained everything in 5 minutes

  • @lilianlebednick1625
    @lilianlebednick1625 4 роки тому +3

    This video helped me loads. Thank you so much for making the lesson very clear and simple.

  • @deanemilne6275
    @deanemilne6275 3 роки тому +3

    you explained the reasons why we need Z scores, this was very useful!!. Many videos don't explain this. Well done

  • @TopicsinPsychiatry
    @TopicsinPsychiatry 5 років тому +2

    Flawless, easy to understand, step by step directions. Thank you so much.

  • @lovelylionlovelylion3664
    @lovelylionlovelylion3664 Рік тому +2

    THANK YOU SO MUCH!!! MY EXAM IS TOMORROW AND YOU TAUGHT ME BETTER IN 5 MINUTES THAN MY TEACHER IN A WHOLE WEEK! THANK YOU AND MAY GOD BLESS YOU!

  • @husseinayesufu9725
    @husseinayesufu9725 4 роки тому +8

    The way God bless you for this perfectly explained video eh. Thank you very muchhhh!!!

  • @VARCHANT
    @VARCHANT Рік тому +3

    thank you so much, sir...I was studying the whole day looking for this simple part that you made clear... especially your summary.

  • @kugisaki2675
    @kugisaki2675 Рік тому +2

    I'm in my shs now, and I don't understand what my teachers said. It's not that I hate him but my learnings depend how good the teacher teach and I don't get anything from him at all. And it leads me here, thank u so much!

  • @mayurdhage2478
    @mayurdhage2478 2 роки тому

    Probably the best explanation for finding the z-scores from z tables on the internet!

  • @karencastelino1793
    @karencastelino1793 3 роки тому +3

    You're a legend mate! Thanks for this!! Really helpful!

  • @salarhussain7273
    @salarhussain7273 5 років тому +15

    Damn bro
    You nailed it in 5 min thanks

  • @Noodlyk18
    @Noodlyk18 Рік тому

    Thank you so much, could not grasp what the table meant intuitively until I saw your explanation, very simple and it made it stick in my mind. Really appreciate it.

  • @charlyekerum2714
    @charlyekerum2714 4 роки тому +1

    Your presentation and explanation is so explicit and excellent.Thank you.

  • @anime4lifejosef868
    @anime4lifejosef868 5 років тому +4

    Love you no Homo. Thank you so much
    Best tutorial so far. It's clear, simple, short and useful.
    YOU SIR ARE A GENIUS 😊

  • @ninja4216
    @ninja4216 7 років тому +7

    Nice video, very informative. Helped me a lot for the exam review

  • @ironalynrubin9465
    @ironalynrubin9465 2 роки тому +1

    I couldn't believe to understand this well in just 5 minutes, thank you so much sir.

  • @elenasandalova4150
    @elenasandalova4150 7 років тому

    omg thank you ! You are amazing , short, clear , and concise !

  • @abolvaiuma7809
    @abolvaiuma7809 Рік тому +3

    This 5min video is really helpful. Short and clearly explained. Thanks🙏

  • @stupidbatrx
    @stupidbatrx Рік тому +4

    Clearly explained / no nonsense. Thanks man!

  • @rishabhjain1031
    @rishabhjain1031 5 років тому +1

    Explained in lucid manner . Really thank you for this wonderful tutorial. Love from India..

  • @danieldunbar8482
    @danieldunbar8482 6 років тому +3

    Joshua thank you for this wonderfully simply but extremely informative video

    • @aqsamughalaqsi7935
      @aqsamughalaqsi7935 5 років тому

      well explained sir tomorrow is my paper and ur teaching style clear my confusion thanks alot😍

  • @yo7875
    @yo7875 Рік тому +2

    Comment number 1000 :
    Thanks a ton man...I was really struggling hard with this topic and you explained it superbly in just 5 mins🤧🤧
    You are a savior 🔥🔥❤❤

  • @nma_25
    @nma_25 4 роки тому

    Oh God thank you. I have stat test this week and I don't get why i haven't been able to understand this. I'm so glad for this video. Thank you Joshua.

  • @jonathankennedy1963
    @jonathankennedy1963 5 років тому

    Not only is your voice cool, you saved me hours of study. Thank you good Sir!

  • @mazil.i
    @mazil.i Рік тому +5

    A simple thank you won't be enough to say how much this video helped me!
    Thank you a million times!

  • @elainebustos1695
    @elainebustos1695 2 роки тому +5

    easy to understand, straight to the point. thank you so much for this. wish you were my professor, haha

  • @BoZhaoengineering
    @BoZhaoengineering 4 роки тому

    My god, your teaching in 5 minutes far better than my teacher did in half semester. Thank you! excellent! I learnt more from you than from my class.

  • @titilopeodeyinka6784
    @titilopeodeyinka6784 5 років тому

    thank you so much. You have no idea how helpful your video is!

  • @shrutisanghavi8137
    @shrutisanghavi8137 2 роки тому +4

    I am studying for the National Board Certification for aya math, and this was an excellent tutorial. Bravo!

    • @EphraimMense
      @EphraimMense 5 місяців тому

      I have a question. After finding our Z for example, his first exercise it was -1.2 so according which criteria should we choose 0.02? in order to find its region. I'm confused I need explanation please. Thank you

  • @internationalretailcongres2860
    @internationalretailcongres2860 7 років тому +9

    aww, thank you. great explanation!

  • @erin2150
    @erin2150 4 роки тому

    Best video on z scores... not gonna lie what I tried to learn all semester I learned from this video the best the day before my final. Thank you!

  • @kristinparker7719
    @kristinparker7719 2 роки тому +2

    You saved my grade! Thank you for your video and your willingness to break it down so simply!

    • @EphraimMense
      @EphraimMense 5 місяців тому

      I have a question. After finding our Z for example, his first exercise it was -1.2 so according which criteria should we choose 0.02? in order to find its region. I'm confused I need explanation please. Thank you

  • @julianrodriguezrojas5188
    @julianrodriguezrojas5188 3 роки тому +4

    Really happy that this video exists and that everything is explained well and quickly, thank you!

  • @sahelanthropus4225
    @sahelanthropus4225 Рік тому +5

    Obviously been years since you posted this but thanks so much for a incredible learning resource. extremely helpful!

  • @elishamahendra6798
    @elishamahendra6798 6 років тому +2

    Honestly learnt more in 5 mins than hours from my teacher 👍🏽👍🏽

  • @JaphethJev
    @JaphethJev 2 роки тому +1

    You are a great teacher. Thumbs up for what you do.

  • @KlaraKaze
    @KlaraKaze 5 років тому +3

    You literally saved my life!

  • @hudaswift5744
    @hudaswift5744 7 років тому +34

    The person who disliked is prolly a gangster by now...this explanation is a true blessing!

  • @hopskotchbamf
    @hopskotchbamf Рік тому

    You literally just saved my Statistics grade. This video clarified so much for me. Thank you!!!!!!

  • @AM-nv4ol
    @AM-nv4ol 2 роки тому

    probably the best educational video ever made. thank you sir.

  • @10subsonlychallenge66
    @10subsonlychallenge66 3 роки тому +3

    bro your voice is smooth af ngl

    • @lmoujatv9729
      @lmoujatv9729 3 роки тому

      If X is a normal random variable with mean 12 and standard deviation 2, how can we standardize X to be a standard normal random variable Z?

  • @KhushiJain-wk2ri
    @KhushiJain-wk2ri 4 роки тому +4

    Dude, totally love your accent haha!

  • @ghulammurtaza1014
    @ghulammurtaza1014 6 років тому

    this is the easiest way to explain Normal Probability on even I watched on UA-cam....
    Thank u solo much Sir

  • @Tmm.00
    @Tmm.00 Рік тому

    I understood so many things in five minutes that i haven't been able to learn in 1 week
    Thanks🙏

  • @Ernesti...
    @Ernesti... 3 місяці тому +8

    Whos watching at 2024 at this time at march? Me gonna watch it

    • @Zenamv8
      @Zenamv8 2 місяці тому

      Watching in april😂😂

  • @rg_nald6894
    @rg_nald6894 4 роки тому +5

    5minutes 20 seconds for what my lecturer couldn't explain for almost 2 weeks

  • @avanelchance-mitchell2300
    @avanelchance-mitchell2300 4 роки тому +1

    Thank you for making something that seems complicated very simple.

  • @jahongvlog
    @jahongvlog 2 роки тому

    took statistics 2 years ago and forget, this is so clear, thank you Joshua

  • @kjhhhjgguvf
    @kjhhhjgguvf 3 роки тому +8

    I just got an A.....I am on my way to buy myself and you a beer

  • @CoolKidOx
    @CoolKidOx 6 років тому +9

    Why did you use the column 0.02?

    • @robinkaler1091
      @robinkaler1091 6 років тому +1

      By looking at the decimal for the zscore. Since the zscore was -1.22, you use the colum for 0.02

    • @Audreyada817
      @Audreyada817 6 років тому +20

      Because the Zscore was -1.22 you find the tenths place (1.2) on the vertical values. Then you find the hundredths place of 1.22 (.02) in the columns.
      So if your z score was -1.23 then go to row 1.2 and column .03, If the z score is -1.24 then the row is still 1.2 but the column will be .04
      Hope that makes it clear.

    • @durantetest
      @durantetest 6 років тому +1

      Audrey Mendez,
      Your explanation helped me to understand why the person in the tutorial selected those particular columns. I think he did not explained that part in the video.
      You nailed it though.
      Thank you.

    • @rv8889
      @rv8889 5 років тому

      @@Audreyada817 thank you so much!! lifesaveerrr

  • @zeddajahanprianka3728
    @zeddajahanprianka3728 2 роки тому +1

    Amazing way of explaining and illustrating. Thank you very much. Very helpful.

  • @samsonisaac3476
    @samsonisaac3476 Рік тому +1

    This is the best video I've seen so far, thank you!

  • @Elizaveta_01
    @Elizaveta_01 2 роки тому +3

    watching this because I don't pay attention during math

  • @xiaoqingtian6542
    @xiaoqingtian6542 Місяць тому +1

    Your video for normal distribution is the BEST one. Within 5 minutes I got everyting.

    • @joshemman
      @joshemman  Місяць тому

      Glad to hear that! Thanks.

  • @nmkone2207
    @nmkone2207 4 роки тому +1

    The amazing best explanation on Z tables. Thank you

  • @m7mdarwani964
    @m7mdarwani964 3 роки тому +1

    I Appreciate this visualized approach to teaching.

  • @duyvo5315
    @duyvo5315 Рік тому

    Why can't the professors just take it simple like this. You sir, has taught me much better than my professor at university. Thank you!

  • @metanoiaganzel1327
    @metanoiaganzel1327 Рік тому +1

    After six years of your video make me smile.
    Thanks a lot and operation to Normal Distribution

  • @amjaad3772
    @amjaad3772 5 років тому +1

    Thank you. You’re truly amazing

  • @sweetprincess3996
    @sweetprincess3996 4 роки тому +1

    Thank u so much.. I really had confusion with the Z table before.. Now it is crystal clear.. Thank u once again

  • @Shivam-fq3tw
    @Shivam-fq3tw 5 років тому +2

    You are amazing sir finally I understood the z table no one could exaplin as u did 👏am your new subscriber from India

  • @callmebaneen
    @callmebaneen 3 роки тому +2

    HOW PERFECTLY YOU TEACH THIS LONG LONG TOPIC IN JUST 5 MINS ✨ WOW

  • @sailisurve4603
    @sailisurve4603 6 років тому +1

    In very few minutes such an amazing explanation .Thankyou Sir

  • @mubangamwamba8664
    @mubangamwamba8664 3 роки тому

    this was actually helpful compared to the other youtubers who arent explaining how to get coressponding values to on the distribution tables

  • @snagarathinam163
    @snagarathinam163 2 роки тому +1

    Thnx bro.
    That was awesome.
    I was struggling all day to understand the concept.
    But you made it very easy.

  • @jaylee842
    @jaylee842 4 роки тому +2

    What a great lecture. Thank you so much, sir.

  • @frankemeli9035
    @frankemeli9035 5 років тому +1

    My God! So beautifully explained. You should be a lecturer. Thanks a lot.

  • @jeroniquelabban5775
    @jeroniquelabban5775 6 років тому

    Thank you...finally understand how to go about this and using the probability tables.