Question

The median filter also represents which of the following ranked set of numbers?

(a) 100th percentile

(b) 0th percentile

(c) 50th percentile

(d) None of the mentioned

This question was addressed to me at a job interview.

This interesting question is from Smoothing Nonlinear Spatial Filter in section Intensity Transformations and Spatial Filtering of Digital Image Processing

Answer 1

The correct choice is (c) 50th percentile

The explanation: Since the median filter forces median intensity to the pixel which is almost the largest value in the middle of the list of values as per the ranking, so represents a 50th percentile ranked set of numbers.