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Sample A:
This sample of one sub-region shows five penguins:

Based on this limited information, you might guess that each and every sub-region contains five penguins. Since there are 100 sub-regions, your estimate of the total number of penguins would be 100 x 5 = 500.
Sample B:
This sample of two sub-regions contains 5 + 6 = 11 penguins, or an average of 11/2 penguins per sub-region:

Based on this limited information, you might guess that the average for all 100 sub-regions is 11/2 penguins. Since there are 100 sub-regions, your estimate of the total number of penguins would be 100 x (11/2) = 550.
Sample C:
This sample of three sub-regions contains 5 + 6 + 3 = 14 penguins, or an average of 14/3 penguins per sub-region:

Based on this limited information, you might guess that the average for all 100 sub-regions is 14/3 penguins. Since there are 100 sub-regions, your estimate of the total number of penguins would be 100 x (14/3) = 1,400/3, or, to the nearest penguin, 467 penguins.
Here is the completed table:
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Sample |
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Photo 1 |
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Photo 2 |
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Photo 3 |
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Estimate of Total |
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A |
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5 |
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N/A |
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N/A |
 |
500 |
B |
5 |
6 |
N/A |
550 |
C |
5 |
6 |
3 |
467 |
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<< back to Problem A1
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