The point at which you can barely sense a stimulus 50 percent of the time is called the difference threshold.

Name: The point at which you can barely sense a stimulus 50 percent of the time is called the difference threshold.
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The point at which you can barely sense a stimulus 50 percent of the time is called the absolute threshold, not the difference threshold. The difference threshold refers to the minimum difference between two stimuli required for detection 50 percent of the time.

The Point at Which You Can Barely Sense a Stimulus