Question

A catchment may be idealized as a rectangle. There are three rain gauges located inside the catchment at arbitrary locations. The average precipitation over the catchment is estimated by two methods: (i) Arithmetic mean $\left(P_A\right)$ and (ii) Thiessen polygon $\left(P_T\right)$. Which of the following statements is correct?

• A. $P_A$ is always smaller than $P_T$
  
• B. There is no definite relationship between $P_A$ and $P_T$
• C. $P_A$ Is always equal to $P_T$
• D. $P_A$ is always greater than $P_T$

Answer 1

The correct option is B There is no definite relationship between $P_A$ and $P_T$

• There is no definite relationship between arithmetic mean and Thiessen polygon method.
• Only it can be said that in Thiessen polygon method , average value is more uniformly distributed as compared to arithmetic mean.