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Probability and Statistics

Probability and Statistics

Bivariate Data


Bivariate data is data where two values are recorded for each observation (as opposed to univariate data). We could look at a bunch of cars in a parking lot, write down both their manufacturers and colors, and come up with data like this:

Toyota, red
Honda, blue
Honda, black
Ferrari, red
Ford, grey
Ford, white
Honda, blue
Honda, black

Most likely, we're writing down this information because several people parked like idiots and we want to report them. But we may also simply be solving an algebra problem. As in this case.

We can organize this data by sticking it into a table. The table can go either this way:

...or that way:

Just depends on whether you're in more of a horizontal or vertical mood. If you're in a horizontal mood, you probably still haven't gotten out of bed.

In the car example, both variables were qualitative and categorical. We could have one variable be qualitative and the other be quantitative. We could also have both variables be quantitative. Our head is swimming from having so many options.

Sample Problem

If we record the heights and weights of a bunch of people, we get bivariate data where both variables are quantitative:

No comment about the last guy.

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