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More formally, we want the following requirements met:

1. Grid lines for a plot must be drawn at even increments that are multiples of some fixed M, chosen for the given data set.
2. That value of M must be of the form c∗10∧k where c is either 1,2 , or 5 and where k can be any integer.
The lowest grid value must be equal to the greatest multiple of M that is less than or equal to l ow. The highest grid value must be equal to the lowest multiple of M that is greater than or equal to high. . There must be at least 5 grid values and at most 10 .

User Jinlong
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1 Answer

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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.

User Yuseferi
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