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spacer left_arrow Chapter 9C: Standard Deviation
 
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Chapter 9: Standard Deviation (Advanced)
 
 
This chapter is only for advanced students.

Statistical Measurements

Image 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.

  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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 Statistics Part 2b