Understanding scatterplots

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About this video

This video shows how to choose the scatterplot that matches a table of six people's ages and numbers of pets. The narrator checks each (age, pets) pair against each scatterplot and rules out any graph missing a point, leaving scatterplot A, then confirms all six points are on it.

You'll be able to

  • read a pair of values from a table and find that point on a scatterplot.
  • use process of elimination to find the scatterplot that matches a table.
  • check that every data point in a table appears on a scatterplot.

Key words

scatterplot
A graph that shows pairs of data as dots, one dot for each pair.
data point
One pair of values, like 9 years old and 4 pets, shown as one dot on a graph.
process of elimination
Finding the answer by ruling out choices that cannot be right.
Transcript

- [Instructor] We're told the table below shows the ages of six people and the number of pets they own. So this row is age of people and then the second row is number of pets. So the person who's nine years old owned four pets, the person who's eight years old owned two pets, and so on and so forth.

Which scatterplot best represents all the data in the table. So pause the video and have a go at this before we do this together. Okay, so what I'm gonna do is look at each of these age and number of pet pairs and see if I can find these points on each of these scatterplots.

So this first one is nine years old and four pets. So that is nine years old, which is right about here, between eight and ten, and four pets. So I see it right over there. So scatterplot A is looking good. Nine years old and four pets should be here. It's not in scatterplot B.

So we can rule scatterplot B out. Nine years old and four pets, it's on scatterplot C, so that one's still in the running. And then nine years old and four pets should be right over here. It's not in scatterplot D. So already even with that first point, we can rule out two of them.

Now, let's look at eight years old and two pets. So eight years old and two pets, it's on A. And if we go here on C, eight years old and two pets, it's there too. So they're both in the running. Let's keep going. Ten years old and three pets. Ten years old and three pets, it's on A.

Ten years old and three pets, it's not on C. So we can rule that out. And so we can say that scatterplot A represents all the data in the table. Now we can verify that by looking at the other points. Does it have 8, 1? 8, 1 is right over here. Does it have 7, 2?

7, 2 is right over here. And then last but not least, 6, 4 is also here. 6 and then 4, so scatter plot A is looking good.

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