Lesson 2
Plotting Data
Problem 1
In hockey, a player gets credited with a “point” in their statistics when they get an assist or goal. The table shows the number of assists and number of points for 15 hockey players after a season.
assists | points |
---|---|
22 | 28 |
16 | 18 |
46 | 72 |
19 | 29 |
13 | 26 |
9 | 13 |
16 | 22 |
8 | 18 |
12 | 13 |
12 | 17 |
37 | 50 |
7 | 12 |
17 | 34 |
27 | 58 |
18 | 34 |
Make a scatter plot of this data. Make sure to scale and label the axes.
Solution
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Problem 2
Select all the representations that are appropriate for comparing bite strength to weight for different carnivores.
Histogram
Scatter plot
Dot plot
Table
Box plot
Solution
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Problem 3
When is it better to use a table? When is it better to use a scatter plot?
Solution
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Problem 4
There are many cylinders with radius 6 meters. Let \(h\) represent the height in meters and \(V\) represent the volume in cubic meters.
-
Write an equation that represents the volume \(V\) as a function of the height \(h\).
-
Sketch the graph of the function, using 3.14 as an approximation for \(\pi\).
-
If you double the height of a cylinder, what happens to the volume? Explain this using the equation.
-
If you multiply the height of a cylinder by \(\frac 1 3\), what happens to the volume? Explain this using the graph.
Solution
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(From Unit 5, Lesson 17.)