The longitude and latitude, basically, is a is,

is the locations of the monitor in that county.

The longitude and latitude coordinates for the monitor in that county.

So we basically remember this is the underlying question is we

want to see do any of the counties exceed the standard of,

of 12 micrograms per meter cubed?

Even in an exploratory analysis where you're just kind of, you

know, looking through the data and seeing if there are any problems.

You, you, you still want to have kind

of an underlying question that you're thinking about in

the back of your mind, even if it's a

little bit of a vague question at this moment.

Because the question that you ask will drive your thinking about what the data

look like, and so something that may be a problem for one type of question,

may be not a problem for a different type of question.

So when you look through the data you

have to have a background question kind in mind.

So, we want to see if counties exceed this national ambient air quality standard.

So a couple of, so we can look at one dimensional summaries

of the data, and here are a couple that I list out.

One is a five number summary.

There's boxplots, histograms, density plots and bar plots.

And I'll illustrate a few here. So, I mean, the first

one is the five number summary which is really not a plot at all, obviously.

But it's a, it's a summary of just some

particular aspects of a, of a, of a given variable.

And so, the summary function in R can produce the summary,

and actually it's the six number summary because it includes the mean.

The traditional five number summary is the

minimum, the first quartile, the median, the third

quartile, and the maximum, and the summary function just puts the mean in there, too.

So here you see the median

is ten micrograms per meter cubed which is under the standard.

The maximum is 18.4 which is over.

So, there must be some counties that violate

the standard at least during this time period.

And so and the things, you can see the third quartile is

11, and the first quartile is 8.5, and the minimum is 3.38 here.