Mean of the distribution

But remember the wand, the infra red meter, runs a little hot.

Linear middle of the distribution

Mean value of the normal distribution

Some are colder, some are hotter and it's a bell shaped curve.

So over here we were turning our heat into kinetic energy.

MV is the linear middle of the distribution.

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

Here is an example of a particular cluster, where different contours show, say, average distribution of galaxy light, or the number density, or the inferred galaxy mass, or mass distribution for the whole cluster.

What's the average temperature here?

Mean value of the standard logarithmic distribution

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

That's called a probability histogram.

0 density, 1 distribution

That's largely influenced by the sample size.

And you can see the points there on the graph.

Now let's say at low temperatures I'm here and as I add heat my temperature will go up.

And now it becomes a pretty straightforward problem.

Degrees of freedom for the t distribution

The three main principles are what we just we worked through.

They'll fluctuate, right.

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

Let me start with the aspect of comfort, because many people are confusing ambient temperature with thermal comfort.

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

Or it made them have higher kinetic energy, or higher average kinetic engery, and that's what temperature is a measure of average kinetic energy.

Here's a quiz for you.

The average temperature in Oxford last month was 18C.

Some molecules will have higher kinetic energy some will have lower.

Average temperature is minus 54 C

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

So you know a distribution is perfectly normal if it's, if it has this bell shape and if it's symmetrical around the mean.

So pretty straightforward.

So an extractor is something that takes a bumpy distribution and makes it into a uniform distribution over the key space.

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

Heat

Temperature

Temperature

Temperature

Temperatures

Temp

Here?

Well, the assumption was that we were dealing with a normal distribution of healthy people.

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

neutral color temperature

I used this as an example back when we were talking about histograms and descriptive statistics and I showed you this histogram.