Misleading Line Graphs
Identify misleading features in line graphs such as broken axes, inconsistent scales, or cherry-picked data ranges. Develop Grade 9 statistical literacy skills.
Key Concepts
Property When there is a large gap between data values, a graph may use a broken axis. On a graph with a broken axis, the scale on an axis is interrupted, often to avoid showing a large empty space from zero to the first data point.
Examples A stock price increases from 102 dollars to 108 dollars. A broken axis starting at 100 makes this 6 dollars jump look like a gigantic leap. Website visits go from 10,500 to 11,000 in a month. If the y axis starts at 10,000, the graph will show a steep, impressive climb. A graph shows a company's profit grew from 1.2 million dollars to 1.3 million dollars. Using a broken axis from 1 million makes the growth seem enormous.
Explanation Think of a broken axis as a visual trick to make a molehill look like a mountain! By chopping out the bottom of the graph, tiny changes suddenly appear huge and dramatic. Itβs a great way to make a small increase in sales look like a massive success story, even if the real change was quite small.
Common Questions
What key features help you graph misleading line graphs?
Identify intercepts, slope or vertex, and key points. Plot them systematically and connect to show the complete shape of the graph.
How do you find x-intercepts when graphing?
Set y = 0 and solve for x. These crossing points are critical for understanding the function's behavior and finding solutions.
What does the graph reveal about this topic?
Graphs show solutions visually as intercepts or intersection points, reveal the number of solutions, and display trends equations alone do not show.