Scale Distortion Math Example 4
Follow the full solution, then compare it with the other examples linked below.
Example 4
hardA company's revenue chart has an x-axis with uneven time intervals (2010, 2012, 2016, 2017, 2018). The line shows constant growth. Explain how uneven spacing creates scale distortion.
Solution
- 1 Standard assumption: equal spacing on x-axis means equal time intervals
- 2 With uneven spacing (4-year gap compressed to same distance as 1-year gap): the slope appears constant even though growth may be accelerating or decelerating
- 3 Visual deception: the 2-year interval 2010–2012 plotted same width as 1-year 2017–2018 makes slower-period growth look faster
- 4 Fix: use actual calendar spacing on the x-axis, or clearly mark the uneven intervals
Answer
Uneven x-axis spacing makes slow periods look fast and fast periods look slow, distorting perceived growth rates.
Both x and y-axis scales can be manipulated. Irregular time intervals are particularly deceptive because viewers assume equal spacing means equal time. Always check axis intervals before interpreting trends in time-series data.
About Scale Distortion
Scale distortion occurs when a graph's axis does not start at zero or uses inconsistent intervals, making small differences appear large or large differences appear small.
Learn more about Scale Distortion →More Scale Distortion Examples
Example 1 easy
Two graphs show the same data (unemployment: 4% to 5%). Graph A: y-axis from 0–10%. Graph B: y-axis
Example 2 mediumA graph uses a logarithmic scale for a dataset ranging from 1 to 1,000,000. Explain when a log scale
Example 3 easyA pictograph shows a 2021 salary twice as large as a 2020 salary by doubling both the height AND wid