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Session 5, Part D:
Deviations from the Mean
In This Part: Tallying Excesses and Deficits | Line Plot Representations
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Use the Interactive Activity or your paper/poster board to display the line plots below (again, for 9 stacks of coins, with a mean of 5).
This activity requires the Flash plug-in, which you can download for free from Macromedia's Web site.
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Problem D2 |  |
Create a line plot with these deviations from the mean = 5:
(-4), (-3), (-2), (-1), (0), (+1), (+2), (+3), (+4)
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Problem D3 | |
Create a line plot with these deviations from the mean = 5:
(-4), (-2), (-2), (-1), (0), (+1), (+2), (+2), (+4)
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Problem D4 | |
Create a line plot with these deviations from the mean = 5, and specify a set of four remaining values:
(-4), (-3), (-3), (-1), (-1)
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Problem D5 | |
How would the line plots you created in Problems D2-D4 change if you were told that the mean was 6 instead of 5? Would this change the degree of fairness of these allocations (as described in Problem B2)? |
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When the positive and negative deviations are added together, the total is always 0. This property illustrates another way to interpret the mean: The mean is the balance point of the distribution when represented in a line plot, since the total deviation above the mean must equal the total deviation below the mean.
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