Final answer:
A line graph is the best alternative data display for Peyton to present his grades improvements over the past six months because it effectively shows trends and changes over time.
Step-by-step explanation:
Peyton created a presentation for his parents showing how his grades have improved over the past six months. To better convey the progression of his grades over time, an alternative data display that would enhance the clarity of this information is a line graph. A line graph is particularly useful in demonstrating trends and changes over a period of time, making it ideal for showing improvements or declines. Since Peyton is tracking his grades over six months, a line graph would visually represent the steady advancement or any fluctuations in his performance more effectively than the other options provided.
Box and whisker plots are more suited for showing the distribution of a data set, which is not as relevant for showing change over time. Circle graphs, also known as pie charts, and histograms are better for displaying proportions and distributions of data at a single point in time, not trends over a period, which is not the focus in Peyton's case.