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Assertion (A): Population density mapped as a smooth surface implies a continuity the underlying data do not have.
Reason (R): The values were collected for discrete administrative units, not measured at points.

  • A.A is false but R is true
  • B.Both A and R are true, and R is the correct explanation of A
  • C.Both A and R are true, but R is not the correct explanation of A
  • D.A is true but R is false

Answer: B

Correct answer: Both A and R are true, and R is the correct explanation of A

Both are true and the reason is the cause. A census yields one figure per tract, so the data are a set of values attached to areas, not samples of a field that exists at every point. Interpolating them into a smooth surface invents gradients within units where none was measured and smooths across boundaries where the real change may be abrupt - a visual claim the data cannot support.

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