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A student has created Theissen polygons for a set of gauges given in the table below....

A student has created Theissen polygons for a set of gauges given in the table below.

Gauge

Precip Depth (inches)

Area of Polygon (acres)

1

4.2

1.5

2

2.1

1.7

3

3.0

4.0

4

2.7

5.7

5

4.0

8.0

6

6.0

10.0

7

0.1

2.1

(a) Calculate the average rainfall for the site using the arithmetic average method.

(b) Calculate the average rainfall for the site using Theissen polygon method.

(c) Since the Theissen polygon is actually a weighted average calculation, how large would each polygon have to be to make its answer equivalent to the arithmetic average method?

engineering   Civil-Engineering   
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