That's the same as σ 2 over 2, which means a new variance squared is half of the old one.

In other words, we're decomposing it into a Fourier spectrum in three dimensions.

Half Size

So first let's revisit this normal distribution.

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

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

So let's say this is a clump of white blood cells and lipid materials and all the rest

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

The impact in the distribution, if you trained every child in the United States, would be to shift the whole distribution to the right and narrow the distribution.

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

Let me ask the hard question now.

Dispersion of the normal distribution

A group of artists decided to paint a life size tank on a wall.

Mean of the distribution

Your purse?

There's no room.

This tells you the height of the normal distribution function.

CA Can we see that?EM Yeah.

Look at the new locations. Texas,

0 density, 1 distribution

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

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

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.

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

L.A.'s a small town.

Are you comfortable?

Comfortable up there?

Do you know your size?

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

Here are our equations again.

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.

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

Who said you?

Did you go to the large or the small beach?

Hello, neighbour.

Small world.

Staircase is narrow.

Mean value of the normal distribution

Middle value in the normal distribution

Let me make it very clear.