Part 2: Random Sampling
Random Sampling Data
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Actual Data
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Grid Segment
(number and letter) |
Number of Sunflowers
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Total number of Sunflowers
228
(count by hand)
Average number of Sunflowers
(divide total by 10) Per grid
2.28
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E3
|
3
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J10
|
1
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G5
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3
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H2
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3
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C7
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3
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F4
|
3
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D8
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2
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A6
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3
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B9
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3
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I1
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3
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Total Number of Sunflowers
|
27
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Average (divide total by 100)
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2.7
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Total number of plants in meadow
(multiply average by 100) |
270
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Analysis
1.
Compare the total number you got for sunflowers from the SAMPLING
to the ACTUAL count. How close are they?
My numbers were 42 off from the actual
count. It’s not bad but it’s kind of a 50/50 shot.
2.
Why was the paper-slip method used to select the grid segments?
The paper slip method was used to demonstrate what it would be
like to pick randomly. It shows that if you pick randomly the average will be
about the same.
3.
A lazy ecologist collects data from the same field, but he stops
just on the side of the road and just counts the ten segments near the road.
These ten segments are located at J, 1-10. When she submits her report, how
many sunflowers will she estimate are in the field?
The lazy ecologist
would count seven sunflowers in J, 1-10 so she would estimate that there are 70
sunflowers in the field when she submits her report.
4.
Suggest a reason why her estimation differs from your estimation.
The reason her estimations differ because
she didn't pick hers randomly, she just wanted to get hers done and didn't seem
to care.
5.
Population sampling is usually more effective when the population
has an even dispersion pattern. Clumped dispersion patterns
are the least effective. Explain why this would be the case.
When a population is clumped you can’t
use this method to get an accurate number. You would get a high amount of
numbers in one area with a low number in the others. You couldn't use this
because numbers would be everywhere and it wouldn't be accurate. As opposed to
a even dispersal you can take those numbers and it would turn out to be pretty
close to the actual number.
6.
Describe how you would use sampling to determine the population of
dandelions in your yard.
I would use sampling to determine the
population of dandelions in my yard by doing what we did in this exercise, I
would section off the yard in a grid pattern. With 100 squared off sections,
then count the number of flowers and then determine an average of flowers per
square by dividing that number by 10. Use that averages multiply it by 100 to
get the total.
7.
In an area that measures five miles by five miles, a sample was
taken to count the number of desert willow trees. The number of trees counted
in the grid is shown below. The grids where the survey was taken were chosen
randomly. Determine how desert willow trees are in this forest using the random
sampling technique. Show your calculations.
The area is 5x5 which
is 25 squared, you take the five numbers given 11+7+9+5+3 which equals 35. Now
taking that number 35 divide it by 5 which gives you 7. Then you will take 7
and multiply it by 25 which equals 175. That gives you 175 willow trees in that
forest.
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