Question Bank • QB_SWCE_HYD_002 NAT • 2 Marks

Section 4: Soil and Water Conservation Engineering

Hydrology

Subtopic: Analysis of precipitation data

Question Statement:

A watershed has four rain gauge stations $A, B, C, D$ with observed storm rainfall amounts of $40\text{ mm}, 50\text{ mm}, 60\text{ mm}$, and $70\text{ mm}$, respectively. The corresponding Thiessen polygon weightages are $0.20, 0.30, 0.35$, and $0.15$. The average precipitation depth over the watershed in $\text{mm}$ by the Thiessen polygon method is ________ (round off to 1 decimal place).

Answer Key:

54.5

Step-by-Step Solution & Explanation

Using the Thiessen polygon weighted average: $\bar{P} = \sum_{i=1}^n w_i P_i$ $\bar{P} = (0.20 \times 40) + (0.30 \times 50) + (0.35 \times 60) + (0.15 \times 70)$ $\bar{P} = 8.0 + 15.0 + 21.0 + 10.5 = 54.5\text{ mm}$
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