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Are bigger books always heavier? Are books with more pages bigger?
To investigate these questions, the class will gather data.
Each partner should:
| pages | width (cm) | height (cm) | weight (oz) | |
|---|---|---|---|---|
| partner A | ||||
| partner B |
One partner records the data from your table in a table of data for the entire class.
What types of graphical representations could be used to show the number of pages in the books? Make a graphical representation of the number of pages.
Choose a color and use it to plot a point on the coordinate plane that represents your own book's number of pages and weight. Then, in the same color, plot a second point that represents your partner's book.
Is weight a linear function of the number of pages? Explain how you know.
Histograms show us how measurements of a single attribute are distributed. For example, a veterinarian saw 25 dogs in her clinic one week. She measured the height and weight of each dog.
This histogram shows how the weights of the dogs are distributed.
This histogram shows how the heights of the dogs are distributed.
These histograms tell us how the weights of the dogs and how the heights of dogs were distributed. But, they do not give any evidence of a connection between a dog’s height and its weight.
Scatter plots allow us to investigate possible connections between two attributes. In this example, each plotted point corresponds to 1 of the 25 dogs, and its coordinates tell us the height and weight of that dog. Examination of the scatter plot allows us to see a connection between height and weight for the dogs.
A scatterplot. Horizontal, from 6 to 30, by 3’s, labeled dog height, inches. Vertical, from 0 to 112, by 16’s, labeled dog weight, pounds. 24 data points. Trend upward and to right.