And in fact this range in between the upper quartile minus the lower one is called the interquartile range.

So we call this the first quartile, the second quartile, the third quartile and the fourth quartile.

And then I compute a new data set where I just extract data in the range from the lower quartile to the upper quartile using this simple command over here.

After cleaning up and removing the points outside the quartile range, what do you think the new mean will be?

This is where you'll find the lower quartile, the median and the upper quartile.

These two elements over here are called the lower quartile and guess what the upper quartile.

What are the characteristics of this top quartile?

Range

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The formula is we have to four quartiles, 4 times n plus three separating elements the lower quartile, the median and the upper quartile.

They're out of range. Range is good.

When I ask you the obvious question now give me the lower quartile, the median and the upper quartile in these three boxes over here.

So, it's simple. All you need are those top quartile teachers.

What's interesting from now is I applied the quartile removal method.

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Range 014.

And we hooked up with some people studying how much variation is there between teachers, between, say, the top quartile the very best and the bottom quartile.

We're actually splitting all the data into four groups this we'll call the first quartile, so I'll call it Q1 for the first quartile, maybe I'll do 1Q.

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