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: (i) Arithmetic mean $\left(P_{A}\right),$ and (ii) Thiessen polygon $\left(P_{T}\right) .$ 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 $P_{T}$

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: (i) Arithmetic mean $\left(P_{A}\right),$ and (ii) Thiessen polygon $\left(P_{T}\right) .$ 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 $P_{T}$

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