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This chapter is only for advanced students.
Statistical Measurements
Imagine that a politician in your state is up for re-election. Trying to impress the public with the work she has done, the politician announces at a press conference that at the end of her term the average yearly salary per person in the state is $80,000.
Would you support her based on that number? It sounds good it sounds like everyone in her state is making $80,000. But can we be sure? A reporter wants to know if her statistic is valid, and he picks three groups of five people randomly from the state. Each group has the same average, $80,000. Let's look at the different groups now.
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Group 1
(avg. = $80,000) |
Group 2
(avg. = $80,000) |
Group 3
(avg. = $80,000) |
Person 1 |
80,000 |
71,000 |
15,000 |
Person 2 |
80,000 |
74,000 |
30,000 |
Person 3 |
80,000 |
82,500 |
30,000 |
Person 4 |
80,000 |
82,500 |
100,000 |
Person 5 |
80,000 |
90,000 |
225,000 |
What can we learn from this chart?
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