Data errors being normally distributed does not imply that the data itself is normally distributed. The discussion clarifies that "data errors" can refer to deviations from a true value, but the context of measurements is crucial for understanding this concept. For instance, if height is measured against an average, the difference can be termed an error, but it may not be viewed as such in all contexts. The conversation highlights the importance of clearly defining what constitutes "data errors" in relation to the measurements being analyzed. Overall, the distinction between normally distributed data and normally distributed errors is essential for accurate interpretation.