Lesson 2

Plotting Data

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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

For access, consult one of our IM Certified Partners.

Problem 2

Select all the representations that are appropriate for comparing bite strength to weight for different carnivores.

A:

Histogram

B:

Scatter plot

C:

Dot plot

D:

Table

E:

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.

  1. Write an equation that represents the volume \(V\) as a function of the height \(h\).

  2. Sketch the graph of the function, using 3.14 as an approximation for \(\pi\).

  3. If you double the height of a cylinder, what happens to the volume? Explain this using the equation.

  4. If you multiply the height of a cylinder by \(\frac 1 3\), what happens to the volume? Explain this using the graph.

Solution

For access, consult one of our IM Certified Partners.

(From Unit 5, Lesson 17.)