GATE2019 CE-1: 15

Question

A catchment may be idealised 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:

1. Arithmetic mean $(P_A)$
2. Thiessen polygon $(P_T)$

Which one of the following statements is correct?

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