1. The problem asks to analyze two graphs labeled (a) and (b), which show data across years 1999 to 2003, and evaluate which graph is misleading and how a college administrator might use one graph to influence perception. 2. The main difference mentioned in the choices involves manipulation of the vertical axis scale: either compressing numbers or using fewer intervals, which affects how the trends look. 3. "By compressing the numbers on the vertical axis" means reducing the scale so that changes appear less significant visually. 4. If graph (a) has a compressed vertical axis compared to graph (b), then graph (a) appears less variable and less alarming. 5. Therefore, graph (a) is the misleading representation of graph (b), because compressing the axis hides the severity of enrollment changes. 6. A college administrator wanting to convince people that enrollment is stable or not seriously declining would use graph (a), which underplays variations. 7. Conversely, graph (b) would show more detail and make changes more apparent. Final answers: - The misleading graph is graph (a). - The administrator would use graph (a). - The manipulation is by compressing numbers on the vertical axis.