axis scale showing 6 years of…

Mathematics Questions

Is the student’s understanding of the x-axis scale showing 6 years of data and the y-axis indicating a 5-cent change per pound correct?

Short Answer

The student misinterpreted the x-axis, which measures 36 months (3 years) since January 2014, not 6 years, and misunderstood the y-axis, which reflects price changes in half-cent increments (0.005) rather than 5-cent increments. Accurate interpretation of both axes is crucial for correctly analyzing the presented data.

Step-by-Step Solution

Step 1: Understand the X-Axis Labeling

The student’s understanding of the x-axis is incorrect. The x-axis is labeled as “Months Since 1/2014,” indicating that it measures the duration in months from January 2014 onward. Specifically, it ranges from 0 to 36, which adds up to a total of 36 months, or 3 years. This is crucial to note when interpreting the data presented in the graph.

Step 2: Analyze the Y-Axis Details

Similarly, the student has misinterpreted the y-axis information. The y-axis is designated as “Price per pound”, with a range from 0.65 to 0.70. It is marked in intervals of 0.005, meaning that each tick on the y-axis corresponds to a change of half a cent ($0.005), not 5 cents. This distinction greatly affects the perceived movement of price in the dataset.

Step 3: Correctly Interpret Both Axes

In summary, both axes have been misinterpreted by the student, leading to significant misunderstandings regarding the data. To correctly assess the graph, one should acknowledge that:

  • The x-axis represents a span of 3 years, not 6 years.
  • The y-axis reflects changes in price in half-cent increments, rather than 5 cents.
Understanding these details is essential for accurate data analysis and interpretation.

Related Concepts

X-axis

The horizontal line on a graph that typically represents an independent variable, which in this case measures the duration in months from a specific starting point (january 2014)

Y-axis

The vertical line on a graph that typically represents a dependent variable, which in this case reflects the price per pound, showing price changes at specific intervals

Data interpretation

The process of analyzing and understanding the information represented in a graph or dataset to draw accurate conclusions and insights.

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