standard_description: Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences.
problem_activity: In science class, you measure the mass and volume of different pieces of aluminum. You determine that there is a proportional relationship between mass and volume. The data on four samples of aluminum is shown in the table.
| **           Volume (cm                       $$^3$$                      )          ** | **           Mass (g)          ** |
|-----------------------------------------------------------------------------------------|-----------------------------------|
|                                            4                                            |               10.8                |
|                                            7                                            |               18.9                |
|                                           12                                            |               32.4                |
|                                           18                                            |               48.6                |
After you put your scale away, you realize that you forgot to find the mass of one more piece of aluminum. The volume of the piece of aluminum is 10 cm
$${^3}$$
. Can you determine the mass without taking your scale back out?


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