This is the income distribution of China, 1970.

Dispersion of the normal distribution

So first let's revisit this normal distribution.

Let me ask the hard question now.

What we're going to do, is assume that the feature,

Mean of the distribution

Your purse?

Thus, I suspect that each of these examples was distributed according to a normal distribution or

And so therefore, their kinetic energy can be characterized by a velocity dispersion.

This tells you the height of the normal distribution function.

0 density, 1 distribution

In this video, I'd like to talk about the Gaussian distribution, which is also called the normal distribution.

And, there's a standard deviation of the distribution of sample means, standard air.

little higher than if you do it, uh, orally. So we looked at this histogram before.

Finally the shape of this distribution of sample means will be approximately normal even if the distribution in the population isn't normal.

Linear middle of the distribution

Standard deviation of the distribution

Degrees of freedom for the t distribution

You learned something really important.

Putting it in population parameters, but putting it in sample statistics.

If you remember from lecture two when we started to talk about probability, we can use the normal distribution.

What I want to do in this video is to generalize it.

Mean value of the normal distribution

Middle value in the normal distribution

Let me make it very clear.

Then that corresponds to a

That's largely influenced by the sample size.

And I have to explain to you, the top of this graph shows you that frequency distribution that I talked about.

Then we have a Gaussian distribution that is centered around zero, because that's Mu.

So I can get any value less than 20 given this distribution.

MV is the linear middle of the distribution.

STD is the standard deviation of the distribution.

Standard deviation of the normal distribution

Let's just go back to our example and see what an amazing thing you've just programmed.

When I've done this as many time as I have measurements and motions,

It's one standard deviation in the distribution of sample means. So this distribution of sample means, again.

Look at the new locations. Texas,

Now what is going to be the variance?

gt gt There's distribution and gt gt Do you wanna start on that one first? gt gt Yeah, we'll start on distribution.

I'll get rid of my body's excess water.

Mode 1 returns the one tailed test, Mode 2 returns the two tailed test.

Intuitively speaking, this is the case because we actually gain information.

She'll need to go through and check the frequency distribution of different intervals.

And, again we don't know most, most of the time if the distribution in the population is normal.

Mean value of the standard logarithmic distribution