Which of the given options best describes the truthfulness of the following…
2023
Which of the given options best describes the truthfulness of the following statements? i) Interpolation is a statistical method by which related known values are used to estimate an unknown value or set of values. ii) In the Inverse Distance Weighted (IDW) interpolation method, estimation of cell values is done by averaging values of sample data points in the neighbourhood of each processing cell.
- A.
i-True, ii-True
- B.
i-False, ii-True
- C.
i-True, ii-False
- D.
i-False, ii-False
Attempted by 6 students.
Show answer & explanation
Correct answer: A
Solution
Let's examine each statement carefully.
Statement I:
"Interpolation is a statistical method by which related known values are used to estimate an unknown value or set of values."
This is the standard definition of interpolation. Interpolation uses known data points to estimate unknown values within the range of the available data.
Therefore, Statement I is True.
Statement II:
"In the Inverse Distance Weighted (IDW) interpolation method, estimation of cell values is done by averaging values of sample data points in the neighbourhood of each processing cell."
In the IDW method, nearby sample points are used to estimate unknown values. The influence of each sample point depends on its distance from the location being estimated, with closer points receiving greater weight. Thus, the estimated value is obtained from a weighted average of neighboring sample points.
Therefore, Statement II is also True.
Hence, both statements are true.
Answer: A) i-True, ii-True