Final answer:
The smallest change in stimulation that can be detected 50 percent of the time is called the Just Noticeable Difference threshold.
Step-by-step explanation:
The smallest change in stimulation that can be detected 50 percent of the time is called the just noticeable difference threshold (c). This refers to the minimum amount of difference in stimulus energy required to be detected as a change between stimuli. Unlike the absolute threshold, the just noticeable difference changes depending on the stimulus intensity, following Weber's law which states that the difference threshold is a constant fraction of the original stimulus.