## Contents |

So **what I just do?** It's one of those magical things about mathematics. MrNystrom 585.565 προβολές 17:26 Mean and variance of Bernoulli distribution example | Probability and Statistics | Khan Academy - Διάρκεια: 8:20. So there you go. http://cdbug.org/standard-error/khan-academy-standard-error.php

So two things happen. We're going to talk a little bit more about in the future. It could look like anything. We tackle math, science, computer programming, history, art history, economics, and more.

And you **do it** over and over again. And you can even think about why that kind of makes sense. So that's my new distribution.

I'm going to have **fatter tails, and I'm** going to have a more pointy peak than a normal distribution. Statistics and probability Sampling distributionsSample meansCentral limit theoremSampling distribution of the sample meanSampling distribution of the sample mean 2Standard error of the meanSampling distribution example problemConfidence interval 1Difference of sample means Let's say I just wanted to do it 1,000 times. What Is The Standard Deviation Of A Sampling Distribution Called? So here, what we're saying is this is the variance of our sample means.

the standard deviation of the sampling distribution of the sample mean!)Watch the next lesson: https://www.khanacademy.org/math/prob...Missed the previous lesson? Standard Error Of The Mean Calculator So I'm taking 16 samples, plot it there. But I think experimental proofs are all you need for right now, using those simulations to show that they're really true.

And if we did it with an even larger sample size-- let me do that in a different color.

But even more important here, or I guess even more obviously to us than we saw, then, in the experiment, it's going to have a lower standard deviation. Standard Error Of Proportion Well, Sal, you just gave a formula. So I'm literally taking first five samples from up here, find their mean. Khan Academy 142.087 προβολές 8:20 Standard error of the mean - Διάρκεια: 4:31.

Learn the Variance Formula and Calculating Statistical Variance! - Διάρκεια: 17:04.

So I think you know that, in some way, it should be inversely proportional to n. What Is Standard Error Of The Mean So just for fun, I'll just mess with this distribution a little bit. Standard Error Formula So it's going to take five numbers from here 10,000 times and find their means 10,000 times and then plot the 10,000 means here.

You're just very unlikely to be far away if you took 100 trials as opposed to taking five. Check This Out Rachel About Khan Academy on a Stick Standard Error of the Mean Standard Error of the Mean (a.k.a. So let's see if this works out for these two things. statisticsfun 452.677 προβολές 14:30 Understanding Confidence Intervals: Statistics Help - Διάρκεια: 4:03. Standard Error Of The Mean Definition

As your original distribution right here. I mean they both look a little normal, but if you look at the skew and the kurtosis, when our sample size is larger, it's more normal. While an x with a line over it means sample mean. Source So they're all going to have the same mean.

I'm using the statistic, the mean. Difference Between Standard Error And Standard Deviation Introduction to the standard deviation.Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/prob...Watch the next lesson: https://www.khanacademy.org/math/prob...Missed the previous lesson? If you know the variance, you can figure out the standard deviation because one is just the square root of the other.

So buckle up and hop on for a wild ride. When n was equal to 16-- just doing the experiment, doing a bunch of trials and averaging and doing all the thing-- we got the standard deviation of the sampling distribution Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. Standard Error Vs Standard Deviation I could keep doing it.

Busted again! So I have this on my other screen so I can remember those numbers. So we know that the variance-- or we could almost say the variance of the mean or the standard error-- the variance of the sampling distribution of the sample mean is http://cdbug.org/standard-error/linear-regression-standard-error-vs-standard-deviation.php So there you go, it got five samples from there, it averaged them, and it hit there.

But anyway, the point of this video, is there any way to figure out this variance given the variance of the original distribution and your n? We just keep doing that. That stacks up there. Learn more You're viewing YouTube in Greek.

Math Meeting 221.261 προβολές 8:08 How To Calculate and Understand Analysis of Variance (ANOVA) F Test. - Διάρκεια: 14:30. We get one instance there. Standard deviation is going to be the square root of 1. You can change this preference below. Κλείσιμο Ναι, θέλω να τη κρατήσω Αναίρεση Κλείσιμο Αυτό το βίντεο δεν είναι διαθέσιμο. Ουρά παρακολούθησηςΟυράΟυρά παρακολούθησηςΟυρά Κατάργηση όλωνΑποσύνδεση Φόρτωση... Ουρά παρακολούθησης Ουρά __count__/__total__ Statistics:

Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. Maybe right after this I'll see what happens if we did 20,000 or 30,000 trials where we take samples of 16 and average them. This is equal to the mean. When your sample size is larger, your odds of getting really far away from the mean is lower.

You just take the variance divided by n. So this is equal to 9.3 divided by 5. We want to divide 9.3 divided by 4. 9.3 divided by our square root of n-- n was 16, so divided by 4-- is equal to 2.32. And n equals 10, it's not going to be a perfect normal distribution, but it's going to be close.

Now, this is going to be a true distribution. Khan Academy 460.351 προβολές 11:18 Standard deviation - Statistics - Διάρκεια: 8:26. So let's say we take an n of 16 and n of 25. pspollard1 631.641 προβολές 10:20 Statistics intro: Mean, median, and mode | Data and statistics | 6th grade | Khan Academy - Διάρκεια: 8:54.

I mean, this is a crazy distribution. Then the mean here is also going to be 5. You can change this preference below. Κλείσιμο Ναι, θέλω να τη κρατήσω Αναίρεση Κλείσιμο Αυτό το βίντεο δεν είναι διαθέσιμο. Ουρά παρακολούθησηςΟυράΟυρά παρακολούθησηςΟυρά Κατάργηση όλωνΑποσύνδεση Φόρτωση... Ουρά παρακολούθησης Ουρά __count__/__total__ Standard