Final answer:
If the horizontal error-bars are wide and the vertical error-bars are very small, it indicates a lack of precision in the horizontal direction but high precision in the vertical direction.
Step-by-step explanation:
If the horizontal error-bars are wide and the vertical error-bars are very small, it means that the measurements taken in the experiment are not precise in the horizontal direction but are precise in the vertical direction. The wide horizontal error-bars indicate a larger range of values for the horizontal measurements, suggesting a lower level of precision. On the other hand, the small vertical error-bars indicate a smaller range of values for the vertical measurements, suggesting a higher level of precision.
This situation can be visualized using the analogy of throwing darts at a target. If the darts are close to one another but far from the bullseye, it demonstrates precision but not accuracy. In a laboratory setting, this could occur due to a systematic error. On the other hand, if the darts are grouped together and hit the bullseye, it demonstrates high precision and high accuracy, which is what scientists strive for in their measurements.
In summary, if the horizontal error-bars are wide and the vertical error-bars are very small, it indicates a lack of precision in the horizontal direction but high precision in the vertical direction.