Statistics 101: A Tour of the Normal Distribution
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- čas přidán 4. 09. 2024
- In this video, we take an in-depth look at the normal distribution including its characteristics and associated cumulative probabilities. An introduction on how to find cumulative probabilities in Excel and on a TI-83 is also included. Enjoy!
My playlist table of contents, Video Companion Guide PDF documents, and file downloads can be found on my website: www.bcfoltz.com
I cried tears of joy when I found your channel. I could manage the math, but didn't understand what was being determined, which I am pretty sure is the point. Thank you for explaining everything in detail. My stats book reads like a tech manual and I usually end up face down and drooling within its pages. I now think stats is interesting and even kind of fun. I have passed on your channel to everyone I know in this class. Thank you!!!
Deva C Awesome. Thank you!
I absolutely cannot believe how SIMPLE you have made the subject of statistics! I have been avoiding statistics all of my live, but now at 46 years old, I can avoid it no longer because I must take Bio statistics on the Master's level. Thanks to you I have been able to sleep at night again and not worry about failure. So glad I found your videos
Normal distribution couldn't be better explained, thank you Brandon. Great job!
Helping my daughter with homework.. These videos have been very helpful in dusting off the dust of 20 plus years of non use. Thanks Brandon
1st of all: Thank you so much for all the positive vibes you gave us in the beginning! That was so helpful! I just failed my first stats exam and a lot of people think you can't do well in the following exams because it's only going to get harder. I know I can do it if I am determined!!
Beautifully explained. I'm in an accelerated class, and the professor goes very fast. This 30 mins explanations are crucial!!! THANK YOU SO MUCH!!!
Brandon I am so grateful to have visual instructors like yourself who are willing to patiently explain basic concepts. I have been in my Stats class for 6 weeks and still had a difficult time understanding and 'seeing' the relationship of 2 standard deviations and how it related to the confidence level. Because of your video, now I can visually see how the -5% and +5% lay within the bell curve at -2 and +2 deviations, I can answer math problems that ask whether an outcome is likely or extreme based on where it falls within the normal bell curve. Thank you for caring enough to take the time to visually explain your thoughts.
Thank you for your hard work. I'm glad we got people like you to help the statistically challenge.
Well thanks! But really, you had the ability in you the whole time. Sometimes we just need a little spark. I am glad to have provided it. Keep up the hard work and burn bright! Best, B.
Dear Brandon
I admire the the way that you present complex concepts clearly and in a logical sequence. I am a lecturer in finance, and I will recommend your videos to my students.
Great effort. All the best. Bulend Terzioglu / Australia
Helped me so much to brush up my statistics concepts, which I haven't touched for almost a decade, to prepare for my FRM level 1. This 20 over minutes saved me hours trying to understand the concepts off a sea of words on the pages. Thank you!
I am working on a masters in statistics and your videos are extremely helpful to make sense of complex topics. Just wanted to say thanks.
Thank you very much! I am a visual learner, and my university lecturer barely speaks english and shows barely any working through problems. You have been immensely helpful in my studies.
You ARE THE MAN OF ALL STATISTIC TEACHING MEN! THE STATISTIC SWAG DADDY! Thanks
Oh goodness! Thank you so much Bulend! I appreciate your very kind words. And it would be an honor to support your students in whatever way I can. All the best to you and your students. We want our summer back up here! :) - B
Thank you very much! Appreciate the fact that you open and close your video with a positive reinforcement :)
Thank you, and bless you for making these videos. They make it SO much easier to not be intimidated by statistics
Thank you! I am repeating this subject at uni and have been struggling the second time around. So happy to finally understand the fundamentals. Great job.
I really enjoyed the clear explanation and the positive 'keep learning" comments.
Compared to my classes ( where I didnt really understand anything ) this is wonderful! I wish I discovered you before. I love the pace, the breaking down of the concepts, and also the explained examples! Thank you
Sir, you literally saved me. I am preparing for UGC NET which is mandatory qualification to become a lecturer in MBA colleges in India. I was very tensed how to complete the course of Statistics as bookish language was beyond my level & exam is on 30th June. Then I found you videos. Now I am confident that I will attempt each question of statistics.One more thing, I want to become an educator like you are. Your way of clearing concepts with examples is superb. Thanks again.
Hey Brandon! I hope you are doing great! Just for you to know the reach of your channel, I'm in Costa Rica and I'm completely amazed with the way you present these concepts on a clear, precise and professional way. Thanks for taking the time for such a great work.
with your video- understood it in 27 mins
with my teacher- didn't know what she was saying for the past 2 hrs ... sigh
I think i might pass my research methods class because of you! I'm learning slowly because I can't stand stats BUT, I have this last class and I'll be down to my last semester of grad school! Thanks again for posting these, you are a great teacher!!
This is the best channel I've ever found for clearing the basics of stats. I am pursing my MBA and this helped me like anything for brushing up the basics. I am really greatful to you to putting up this effort in creating these videos and helping students. Kindly make some videos on Operation research topics like networking and some real life applications. This would be of great help. Thank you would be the least I can say.
With Regards.
Hi Laurie! Thank you for that suggestion. From your comment I am taking that you are interested in learning how to make normal curves in Excel is that correct? If so I will try to get a video up by this weekend showing you how I make mine. Let me know if I misinterpreted your comment. Thanks! - B
who would thumbs-down this??!?
Thanks Brandon......U r awesome. I wish I had teachers like u in my academic. I really like ur style to explain the WHY factor in everything. That is the most imp thing in stat. Because if don't understand why...u gonna forget it sooner or later. THANKS ALOT....Love U.
Hello! I did something like that during my binomial distribution video; working from two discrete probability outcomes like a coin flip .5 / .5, and then the sum of two die 2-12, etc. I also covered this in another video discussing the difference between discrete and continuous variables as the denominator approaches infinity.
I don't get it all; BUT I get more than what my textbook was explaining. I drew all your examples so now I'll go back and review and draw the examples clearer. YOU WERE VERY, VERY HELPFUL!!!! THANK YOU
You are very very welcome Kristy! Just take it one step at a time. It will all come together. Keep working at it, I know you can do it! - B
this is the first explanation i came across thats take it from the roots
so thats the story of this bell shape thank u so much , this was helpful
Correct. I'll have to go back and listen when I get home from work. But as you said, values around the mean (in a given range) are more frequent than in the tails. - B
Great lecturing Brandon. With clarity as usual. Thank you
Very logical and pedagogy is just fab makes Learning Stats very fun.
!awesome simple language and high clarity. Thank you very much. I now understand normal distribution better
Great explanations! Thnx. A fine point-You explain beautifully why the probability of occurrence of any specific value on the x-axis (the measured variable) is zero. But at ~8:26 you say that the mean tends to be very frequent. But the mean (m) is a specific number. P(m) really =P(m +-D), where D is a range you specify. The smallest D is determined by the precision of your measuring instrument (as you point out).
I love your videos, keep doing what you are doing so far. The videos are helping me. The only thing that I would like to see different is that I use the TI-84 Plus CE. When you use the TI-83, I do not need to do the extra steps. I would like to see it done also on the TI-84. Thank You for your time to do these videos. I appreciate it very much.
Thank you for directing me to this video. I am still having problems understanding "cumulative probability." Need to get a better grasp of what that means. Thanks again.
Thanks for having faith in me. It's really means a lot. 👍😊
Thanks Brandon, it was a big help for me. Despite the fact that I've covered Binomial and Poisson distributions myself, using my textbook, I'm going to watch your videos covering those too - I'm sure I'll understand the whole thing better!
Mr. Foltz, as much as I enjoy listening to your descriptions of the concepts and examples, I often wish there were more visual content on the stuff that you talk about. So I would like to request that if and when you get the means, you include some clips of real-life situations, for example your in nearest drugstore or park, to go with the concepts and examples. Secondly, I'm currently encountering problems in proving the very complex formulae involved in the topics you've explained, so I'd really like it if you could make a few videos deriving formulae from scratch and explaining how things work out throughout the process. Thirdly, I'd like to ask you if textbooks should be as explanatory as yourself and your videos. Finally, your videos on Stats have been a great help to me and made me wish my teachers taught like this, so, thank you very much xoxo
No problem. Just think of the cumulative probability as the probability "up to a certain location" on the distribution. The probability at far left is theoretically zero, then as you proceed to the right the probability accumulates. At the middle of the curve it would be .5 or 50%. Then it would proceed higher as you move rightward up to a theoretical maximum of 1 or 100%. Probability "accumulates" like rain, snow, or sand during a sandstorm.
Thank you. You made me confident. I would find it more useful and handy if you also mention what is happening beneath the calculator.i.e. give us the actual function and its mathematics (if possible, mentioning how somebody arrived at it). And a simple example problem that would fit into the content of the video.
Wow, I was really struggling with this and the way you presented it made a huge difference. Thank you soooo much my friend.
Hello! The normalcdf function is under the DISTR menu (2nd-> VARS). It follows the pattern normalcdf(lower bound, upper bound, mean, standard deviation). So normalcdf(-e99,0,0,1) is the left half of the distribution. the -e99 part is an approximation of -infinity. It is under the comma button which is above the "7" key. Let me know if you have any other problems. Hang in there! - B
That's great, Brandon. A lot easier to understand now!
One thing you might clarify in a separate video is how the area gets to be 1 in real-life examples, where we have measured a variable (like ht or wt or...), and we have a freq distribution with counts (Ns) on the y-axis, and bins of x-values (ranges of our variable to greater or lesser precision). The area under this freq. distribution is a number >1.
Very useful and easy to follow!
Thank you. This explains concepts clearly and simply.
Thanks for your excellent tutorials. I'm sure your work has a statistically significant, positive, impact on people's stats grades. :) Cheers
This tutorial was outstanding!
Great in-depth description of normal distribution. This video gave me more understanding of where I'm at. However, I'm stuck on trying to figure out the concept of p-hat and sampling distribution and also finding the middle 39% (or any amount other than whole numbered stand. dev.) Do you have any videos or advice?
Thank you very much, Makes more sense than in class!
Thanks great lecture. I did not find the normdist function in insert but in functions on excel thanks. I haven't had stats since 89 so it's been awhile.
Hi! If you go to my channel page and look under Playlists you will everything organized by topic sequence like you would in a textbook. Let me know if you have any problems finding it! All the best, B.
your stats video is quite helpful for data Scientist using Machine learning & R.
beautiful. i wil watch ur other videos for learning better
Thank you Brandon. That makes sense.
Thank you so much. I really needed this video. It was so clear and easy to understand!
Oh thank you so much! I am not sure if I have a conditional probability video yet per se. When would you need it by? I do have one on joint and marginal probabilities which is a form of conditional probability.
Amazing work Brandon! thank you for your time spent on this.
Excellent teaching skill! Thanks, very much
Thank you Mr. Foltz. Very helpful video.
Thanks a lot sir ....really helpful ....... Excellent Explanation...
As usual, an excellent explanation. Thank you.
Thank you Brandon! A very cogent demonstration and very helpful.
Thank you for making these videos! Very helpful!
thank u theres hope for me in class thank you Mr. Foltz
Excellent....I feel found (less lost). Thank you!!!!!
These videos are SO helpful!
Thank you so so so so so much!!!
amazing video cleared all my doubts...!!
Thank you very much this was one of the best videos on You-Tube
Loving the intro song
it would help if you do a sample on an actual excel and show how we can create a bell curve chart
Your videos are very helpful.
These videos are so helpful. Thank you for making stats simple. Do you have a conditional probability video and if so where can I locate it?
who are the dummies that gave this a thumbs down
some helpful and instructive videos, thank you. I only wish there was some way to tell which order to watch them. You often say, "in the next video" but no way to tell which is next.
Hi Cathe! If you go to my channel and view by playlist they are all in order. If you have problems finding it let me know. Thanks for watching!
Thank you Brandon
Thank you for the great explanations, very helpful!!
Brandon u r just awesome..thx fa all ur videos.
Hi Brandon, which software do you use to create all these fantastic videos?
It is really great presentation (video), you have explained the complex concept easily. :) Will you please how do you prepare & create this video, including software used. Thank you so much. You are really amazing guru.
I have a TI 83 Plus and I did not understand how to punch it in my calculator. I would
greatly appreciate it if you would show it on a video.
Thanks!
Great Job!!
You are such a STAR
Outstanding!
excellent explanation!.. Thanks a lot
quick question, the area under a normal curve outside mean-1 x standard deviation and mean+1 x standard deviation gives you what? is it 0.3413?
I want to devour all your videos right now.
yep, you are right really I am struggling.Big thank you
Very helpful! Thank you.
Hello Brandon, Today was my last class for Six Sigma Green Belt and it's almost fifteen years since i left the studies so need a complete recap of Basic Stats understanding from the very beginning. Just wanted to have a series of order of learning from A to Z for all the Statistic topic videoz. I see playlists like pl01 and onwards but that even show missing stuff for e.g.. after pl01, i can't find pl02. Appreciate if you can guide the learning order for your videoz. thanks.
best teacher
Thanks for the vid. It helped me but if I may do u think for further vids show us exampls like the ones in books
where did the 1.960 come from in the end? is it something I'm supposed to "see" or just something we're supposed to learn and remember?
Thank you so much.
what if we have two overlapped normal distributions what does it mean how to explain it and analyze it
Thank you Brandon, the normal distribution video was ultra helpful. Would you be willing to do a video on lognormal distributions and calculating probability? I am trying to build a spreadsheet that calculates stock price probability using a lognormal curve now and have had tremendous difficulty. For example, Apple has traded between 480-504/share for the last 30 days, what is the probability it will trade over 500 in the next 10 days? Can you help? Thanks!!!
Hello Brandon, Thank you for your excellent videos. You do a great job; I really appreciate it. I was wondering what you use to make your beautiful normal curve graphs and what you use to record your presentation. Also, I would love to see you write on your presentation while you explain. Thanks again.