JentooACT®

ACT® · Reading — Integration of Knowledge and Ideas: Visual and Quantitative Information

Axes, Units, Scales and Legends

A figure only means what its axis labels, units, scale and legend say it means. Before trusting a shape, check where the axis starts, what it counts, and which series is which.

Every figure is built on choices, and those choices control what the picture can honestly say. The axis label tells you what is being measured. The unit tells you the size of one step. The scale tells you how far apart those steps sit, and whether the axis starts at zero or somewhere else. The legend tells you which line or bar belongs to which thing. Read all four before you read the shape, because the shape alone can mislead.

A line that fills a whole panel looks dramatic, but that drama often comes from the panel's floor, not from the data. If the vertical axis runs from a high starting value to a slightly higher one, any rise looks like it climbs the full height of the chart, even if the real change is a small fraction of the total. The fix is to check the numbers printed at the top and bottom of the axis before judging the slope.

Scale changes the shape even when the numbers are honest. A linear axis spaces equal amounts equally, so repeated halving looks like a curve bending toward zero. A logarithmic axis spaces equal ratios equally, so repeated halving draws a straight line. Neither axis is lying, they just answer different questions: linear shows absolute change, log shows proportional change. This is why two charts of the same costs can look completely different, and why comparing two separate charts requires checking that their vertical scales match before comparing their shapes directly.

Key terms

Axis scale
The range and spacing of values an axis covers, including where it starts and ends.
Legend
The key that matches colors, patterns or line styles to what each one represents in the figure.
Logarithmic axis
An axis spaced so that equal multiplicative steps, like doubling, appear as equal distances.
Linear axis
An axis spaced so that equal absolute amounts appear as equal distances.
Truncated axis
An axis that does not start at zero, which can make small changes look visually large.

Watch it explained

  1. How it worksHow do axis labels, units and a legend together fix what a figure is allowed to mean?
  2. Worked exampleShow me what changes when a chart of costs is redrawn on a logarithmic vertical axis.
  3. Going furtherWhat happens to a comparison when two charts use different vertical scales?
  4. Common mistakeWhy isn't a steep-looking line always a large change?

Check yourself

Your turnmedium1 of 3
Passage: A hospital newsletter prints a figure of weekly admissions with the caption 'a steep climb since the new year'. Figure 4 (described) - Weekly admissions. Vertical axis runs from 414 to 483. The line rises from 429 in January to 459 in June and fills the height of the panel. What does the steepness of the line actually show?

End of topic.