Hello and thank you for the question! The easy truth is that the "12" is built in to the uniform distribution variance formula. It is a given. I'm sure I could reverse engineer the derivation somehow but for now I will enjoy the rare occasion in statistics when something us just given to us. :) All the best, B.
You're great. I'm studying at one of the top universities worldwide and I got nothing close to this out of the lecturers. That's what happens, they are too snobby to teach properly.
Oh thank you Artian! Sorry your experiences are poor at your university. In defense of your lecturers, good teaching is not always valued over the research function and is rewarded accordingly. So they can be in a tough position. But anyway I am very glad you find the videos helpful and I look forward to making more for you! All the best, B.
Hi Rachel! Thank you so much for your nice comment. I am sure your instructor means well but having been there myself, I know we often get pulled in many directions at once. :) I am just trying to light the path, students like yourself actually have to do the walking. Keep learning! All the best, B.
Your videos are extremely helpful. The pace in which you teach the subject matter is perfect. Thank you so much! You will be a reference I will continue to use.
Thank you sooooo much! I am taking online statistics and I am in week 4. This is the first week I had trouble understanding, and my book was no help. You are awesome! Please keep providing this service. My College Math professor was like you and that's how I got an A. She broke everything down and was an amazing professor. You're an amazing teacher also, so thank you again.
For me, it is the best tutorial for statistics specially to those who are taking statistics for the first time, and for those students who have the understanding using geometric figure.
Hi Brandon...This is me again. I have become a fan of yours Brandon...You are absolutely spot on with your visual explanations..God Bless You for taking effort and time in doing these videos..Thanking you wholeheartedly!!!
Thank you for do this video and the others. You've managed to do in 30 minutes what my professor hasn't been able to achieve in weeks. Again, many, many thanks.
My teacher spent half a term talking about this and I didn't get a thing from that class. I love your video so much and you've definitely saved my life!
That was absolutely amazing. Didn't understand it at all with my instructor but now I get it!!! I subscribed and will be definitely be watching more. Thanks so much.
Thank you so much, Brandon! You literally saved my life! As I am studying for the CFA, watched other videos and tried to read the book and still made ZERO sense to me. After watching this lesson it clicked! Your motivational words to stay positive and keep our heads up sure helped me not to give up!
Hey just wanted to say good job and thank you for making this video. It was a lot of help and I really liked how you went through multiple questions to help clarify the material.
Thank you Brandon for such detailed explanations and taking time to explain every concept precisely. Please keep posting your videos. You are of lot of help.
Thank you for this video, but more so for the encouragement. I am 4 classes away from completing my Masters and I get this curve ball for an applied stats class. Frustrated and discouraged is an understatement. I feel a bit relieved after these series of videos. I hope to continue to be able to apply your knowledge to the success of my course. Thanks again
Its a good day when I can finally understand statistics!! I am so glad to have found your channel Brandon! Watching all your playlists and hoping to bring my grade back up.
Brandon,thanks for doing this video. I was grinding out the calculations without any clarity and no enjoyment, but after watching your video on the uniform probability destination, I came away with,at least an inkling, for what a powerful conceptual tool, it could be. Now instead of arbitrary, the normalcdf function on my calculator actually seems pretty cool !
What's the idea of dividing by 12 for the variance of a uniform distribution? I understand the variance for a population is found by dividing by n number of data points (or n-1 for a sample), and since you can't meaningfully divide a continuous uniform distribution by infinite data points, you would take a continuous sum (or the integral) of the difference between a and b. But why 12 for a uniform distribution? Is that just how the integral simplifies down?
OK, Got it - there is a different equation for the variance for each different distribution. The one with the mysterious 12 in the denominator is specifically for the Uniform Prob. Dist. I just looked up the equation for variance for the normal distribution - now that's really mind blowing!
hello i am Joseph i am in Grade 9 and 15 years of age, Thank you bro really liked the video i really needed help in understanding this, this would also help me because i want to become and engineer , i also have problems in understanding the chemistry and statistics and keen to watch your other videos :)
Brandon, I'm studying for my 6 Six Sigma Green Belt. There's so much information that needs to be covered that the teacher can't do justice to any particular topic, so a lot of the "why" is left out. Also, I know he's teaching to the test. The class doesn't need to know why something is the way it is, it just needs to know how to structure and solve problems to pass the exam. I like to know "why", so I'm using your videos as an adjunct to my 6 Sigma videos. I have a question about the bus example you provide. Technically, wouldn't this be a continuous probability distribution? Even though there are ten one-minute intervals, you can break up those intervals into infinitely smaller intervals. The odds against the driver arriving exactly at 11:27 or 11:33 are pretty high, so it would happen fairly rarely. Or is my thinking not quite right? One more question: I've been trying to figure out in what order to view your videos to make it appear as if I'm taking a class. Is there a way I can do that? Thanks.
hi! i was just wondering if its the same thing when p(x) is said to be greater or equal to (lets say for your example) 21 and less than or equal to 25? the video was extremely helpful! thank you so much... but i was just left with that tiny question
***** - I think the theory sessions were at their best. I just recommend that with every playlist on a topic you could add a problem solving video for couple of word problems.
Man, I wish I had more teachers like you in my educational career! You are the real deal, sir.
Hello and thank you for the question! The easy truth is that the "12" is built in to the uniform distribution variance formula. It is a given. I'm sure I could reverse engineer the derivation somehow but for now I will enjoy the rare occasion in statistics when something us just given to us. :) All the best, B.
You're great. I'm studying at one of the top universities worldwide and I got nothing close to this out of the lecturers. That's what happens, they are too snobby to teach properly.
Oh thank you Artian! Sorry your experiences are poor at your university. In defense of your lecturers, good teaching is not always valued over the research function and is rewarded accordingly. So they can be in a tough position. But anyway I am very glad you find the videos helpful and I look forward to making more for you! All the best, B.
Which university are/were you studying at?
your opener really just made me cry, so thank u so much for putting it in. I really needed that :')
Hi Rachel! Thank you so much for your nice comment. I am sure your instructor means well but having been there myself, I know we often get pulled in many directions at once. :) I am just trying to light the path, students like yourself actually have to do the walking. Keep learning! All the best, B.
Your videos are extremely helpful. The pace in which you teach the subject matter is perfect. Thank you so much! You will be a reference I will continue to use.
Thank you sooooo much! I am taking online statistics and I am in week 4. This is the first week I had trouble understanding, and my book was no help. You are awesome! Please keep providing this service. My College Math professor was like you and that's how I got an A. She broke everything down and was an amazing professor. You're an amazing teacher also, so thank you again.
Thumbs up for the positive reinforcements in your video.
"Believe in yourself... You can do it."
The level of details is amazing
For me, it is the best tutorial for statistics specially to those who are taking statistics for the first time, and for those students who have the understanding using geometric figure.
Excellent presentation there, Mr. Foltz! Very thorough with easy to follow visuals. Thanks for putting this up on UA-cam.
Hi Brandon...This is me again. I have become a fan of yours Brandon...You are absolutely spot on with your visual explanations..God Bless You for taking effort and time in doing these videos..Thanking you wholeheartedly!!!
Thank you for do this video and the others. You've managed to do in 30 minutes what my professor hasn't been able to achieve in weeks. Again, many, many thanks.
My teacher spent half a term talking about this and I didn't get a thing from that class. I love your video so much and you've definitely saved my life!
Great Job, May Allah bless you and grant you success in this life and the hereafter !
That was absolutely amazing. Didn't understand it at all with my instructor but now I get it!!! I subscribed and will be definitely be watching more. Thanks so much.
Thank you so much, Brandon! You literally saved my life! As I am studying for the CFA, watched other videos and tried to read the book and still made ZERO sense to me. After watching this lesson it clicked! Your motivational words to stay positive and keep our heads up sure helped me not to give up!
You are very welcome! Stay positive knowing the road is always full of ups and downs. Just keep moving forward and keep on learning.
This was the best explanation as to why the probability of any one specific value in a continuous distribution is zero I have ever heard.
honestly your the best my professor makes no sense but this is so easily digestible I understand it so much better now thank you
Absolutely Brilliant Professor !!! Thanks so much !!!
Thank you for your patience in teaching! Never understood this concept more clearly before. Finally understood now crystal clear.
Thank you so much for all of your help. Your videos have helped me tremendously.
Superb, now I understand between uniform or discrete and continuous probabilities.
You are great.
Thank you Brandon.
Thank you Marcus!
Hey just wanted to say good job and thank you for making this video. It was a lot of help and I really liked how you went through multiple questions to help clarify the material.
Thank you Brandon for such detailed explanations and taking time to explain every concept precisely. Please keep posting your videos. You are of lot of help.
Thank you for this video, but more so for the encouragement. I am 4 classes away from completing my Masters and I get this curve ball for an applied stats class. Frustrated and discouraged is an understatement. I feel a bit relieved after these series of videos. I hope to continue to be able to apply your knowledge to the success of my course. Thanks again
Thank you, Brandon, this video is very informative!!!!
love the way u teach thanks a lot
Really got it...i fed up with my lecturer.....thank u so much sir.....
Oh thank you so much!
you Sir just helped me get an A, I can't thank you enough
Its a good day when I can finally understand statistics!! I am so glad to have found your channel Brandon! Watching all your playlists and hoping to bring my grade back up.
Great Video!!!! Helped me understand so much better and I love how positive you are! I'll keep watching!
Brandon,thanks for doing this video. I was grinding out the calculations without any clarity and no enjoyment, but after watching your video on the uniform probability destination, I came away with,at least an inkling, for what a powerful conceptual tool, it could be. Now instead of arbitrary, the normalcdf function on my calculator actually seems pretty cool !
Another great video, love it! Everything is crystal clear!
Learning about Continuous Distribution has never been such easy. Thank you so much. 😀
great.... i wish i saw this since the beginning of the statistics course!!! THANK YOU
What's the idea of dividing by 12 for the variance of a uniform distribution? I understand the variance for a population is found by dividing by n number of data points (or n-1 for a sample), and since you can't meaningfully divide a continuous uniform distribution by infinite data points, you would take a continuous sum (or the integral) of the difference between a and b. But why 12 for a uniform distribution? Is that just how the integral simplifies down?
i have the same question
Thanks Konstantinos that was quite mind blowing! I too left off variance at ((x-mu)^2)/N or (n-1). Well whaddo ya know.
OK, Got it - there is a different equation for the variance for each different distribution. The one with the mysterious 12 in the denominator is specifically for the Uniform Prob. Dist. I just looked up the equation for variance for the normal distribution - now that's really mind blowing!
@Konstantinos Antoniou, Thanks a lot :)
Brandon, you are amazing.
hello i am Joseph i am in Grade 9 and 15 years of age, Thank you bro really liked the video i really needed help in understanding this, this would also help me because i want to become and engineer , i also have problems in understanding the chemistry and statistics and keen to watch your other videos :)
Yet again a great video
Great job explaining. Thank you!
Very helpful and clear explanation. Thank you for making this!
you have made it easy to understand....thanks
Thank you, Brandon! Applause!!!
I hope to find more of your videos during my studies!
The introductions makes me react like "Ooooff! WOW!". I guess, I really need that motivation~! With that, thank you!
awesome video thank you so much!!
Trying to understand why when you listed bus arrival times on the x-axis they end at 11:34 rather than 11:35? I'm sooo confused :(
bus arrives between 11:25 and 11:35. so you can just subtract 35 and 25, then you get 10. and that's the bus arrival time in 1 minute time spans
This video was fantastic!! And you set yourself apart by adding the motivation :) Thank you.
I watched couple videos. I liked them. I will watch all you statistics videos.
You are an awesome teacher!
You're are really fantastic .... Neatly explained thank you very much
Really nice video! Helped me alot, thanks!
Drake Shred Thanks Drake! Glad to have helped. Hang in there. Best, B.
OMG I LOVE This guy!!! you just explained something that took me for ever to google. THANK YOU
This is very helpful! Thank you so much!
Another excellent job!
Thank you for your videos, they are a great help.
thank you for your encouragement!!!! you're awesome!!!
This video just helped me figure this section out. I've been stumped for the last week.
Thank you so much for the videos, they are all very helpful.
Great video, I learned - Thanks!!
you are a savior of my life....
Thank you kind sir ..Your lessons are great.
Brandon, I'm studying for my 6 Six Sigma Green Belt. There's so much information that needs to be covered that the teacher can't do justice to any particular topic, so a lot of the "why" is left out. Also, I know he's teaching to the test. The class doesn't need to know why something is the way it is, it just needs to know how to structure and solve problems to pass the exam.
I like to know "why", so I'm using your videos as an adjunct to my 6 Sigma videos. I have a question about the bus example you provide. Technically, wouldn't this be a continuous probability distribution? Even though there are ten one-minute intervals, you can break up those intervals into infinitely smaller intervals. The odds against the driver arriving exactly at 11:27 or 11:33 are pretty high, so it would happen fairly rarely. Or is my thinking not quite right?
One more question: I've been trying to figure out in what order to view your videos to make it appear as if I'm taking a class. Is there a way I can do that? Thanks.
Wow terrific lesson, articulated very well! This helped clear up many things :)
YOU are just awesome, awesome & awesome.
Clear and simple
All videos are just awesome!!
(y)
Thanks v much, excellent video
Thank you! this video is well done.
Great explanation, Thank you.
Thank you so much! This lecture was really helpful :)
Thanks for the help, my professor doesn't teach well and actually puts up links to your videos in out class lectures.
awesome sir thank you very much it become very easy to understand the distribution taught by you
Thank you so much! :)
Subbed!!! ur a great help! thanks for the video!!
Amazing!!! Can you also explain other continuous probabilities and Generating Functions with Continuous Probabilities?
perfect , please continue making such videos
Great video, Great motivation... Keep making videos, and keep sharing your passion for teaching =)!
thx for ur awesome video man
THANKS MAN U ARE AWSOME
Very nice work :)
hi! i was just wondering if its the same thing when p(x) is said to be greater or equal to (lets say for your example) 21 and less than or equal to 25? the video was extremely helpful! thank you so much... but i was just left with that tiny question
you've just earn a new subscription
Excelent as always...!! :)
This is great Brandon. Do you work as a lecturer?
Your "don't freak out" comments are actually quite comforting lol
Excellent thanks
you are great..!
Really helpful sessions.
***** Thank you! :)
***** - I think the theory sessions were at their best. I just recommend that with every playlist on a topic you could add a problem solving video for couple of word problems.
+Brandon Foltz skip intro button plz!
Thank you for the great help:)
Amazing thank you so much.
do we have something on Markov's or Chebyshev's inequality and other inequalities in your playlist?
just excellent!!!!!!!!
Thank you!
made easy to understand ........
very helpful! thank you so much sir! :)
Thanks! A given is always good - never look a gift denominator in the mouth.
hi, great explanation. I have a doubt: in the example of the bus, wouldn't time be a continuous variable?
Sir, will you make videos on Gamma, Beta distribution?