Final answer:
The student's question is about how to properly scale and set up a graph with specific intervals and increments in light of a given data set.To draw grid lines on a plot that meet the given requirements, you need to choose a fixed value that is a multiple of M for the data set and follow specific guidelines for the lowest and highest grid values.
Step-by-step explanation:
The student's question pertains to setting up a graph with specific constraints for grid lines. According to the given requirements, the grid lines must be drawn at even increments that are multiples of a fixed M. The value of M must take the form of c*10^k, where c is 1, 2, or 5, and k is any integer. This is indicative of the student working on a problem related to data visualization and possibly preparing to construct a graph such as a histogram.
The lowest and highest grid values must align with the data range, ensuring that the graph is appropriately scaled. Additionally, the graph must have at least 5 but no more than 10 grid lines, which is crucial for readability and effective data representation. When labeling axes and choosing an appropriate scale, one must consider the data set's range and appropriate increments for clarity.