Question

everyone is complaining about how mr. ray/mrs. albhai made the class graph a jorge is confused about how the teacher decided to set up the graph. “why is it a 1st - quadrant graph instead of a 4 - quadrant graph?” answer jorge’s question. in general, how should you decide what kind of graph to use?

Explanation:

To decide the graph type (like 1st - quadrant vs 4 - quadrant), consider the data's nature:

1. Data Sign: If data (e.g., quantities, values) can't be negative (e.g., number of students, height, weight), a 1st - quadrant graph (where both axes have non - negative values, \(x\geq0,y\geq0\)) is suitable. For example, when graphing the number of books each student has, negative values don't make sense, so 1st - quadrant is used.
2. Data Relationship: If the relationship involves negative values (e.g., temperature changes with positive and negative, or financial gains/losses where loss is negative), a 4 - quadrant (Cartesian) graph (with \(x\) and \(y\) having positive and negative values) is better. Also, consider the type of graph (bar, line, pie etc.) based on what you want to show: bar for comparisons, line for trends, pie for proportions.

Answer:

To decide the graph type (1st - quadrant vs 4 - quadrant, or other graph types):

1. Analyze the data's possible values: Use a 1st - quadrant graph if the data (e.g., counts, lengths, positive - only measurements) cannot be negative. Use a 4 - quadrant (Cartesian) graph if the data can include negative values (e.g., temperature with below - zero, financial losses).
2. Consider the purpose of the graph: For comparing categories, bar graphs work well. For showing trends over time, line graphs are suitable. For showing proportions of a whole, pie charts are good.