GATE CE 2025 Set 1 — Question 39
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Water Resources Engineering → Hydrology & Precipitation → Precipitation
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Question
The mean rainfall over a catchment has to be estimated. The data for four rain gauges located in and around the catchment is listed in the table. Which one of the following statements is correct:
| Rain gauge station | P | Q | R | S |
|---|---|---|---|---|
| Whether located inside the catchment | Yes | Yes | Yes | No |
| Thiessen weightage factor | 0.25 | 0.50 | 0.10 | 0.15 |
| Rainfall (mm) | 100 | 110 | 100 | 125 |
Correct answer
(A) The estimate obtained from the Thiessen-mean method is greater than that obtained using the arithmetic-mean method
Solution
We calculate the mean rainfall using both methods:
Therefore, the estimate from the Thiessen-mean method is greater than that from the arithmetic-mean method.
1.Arithmetic-Mean Method: Only rain gauges located inside the catchment are considered (P, Q, and R).
2.Thiessen-Mean Method: All gauges (including those outside) are used with their respective weightage factors.
3.Comparison:
Therefore, the estimate from the Thiessen-mean method is greater than that from the arithmetic-mean method.
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