Math Playground
Data

Misleading graphs

Truncated axes, 3D pies, cherry-picked ranges — how charts lie.

The graph says sales 'tripled'. Look closer: the y-axis starts at 95, not 0, and the real change was 3%. The chart didn't lie with numbers — it lied with pixels.

A misleading graph uses correct data but presents it in a way that creates a false impression — through axis tricks, cherry-picked ranges, distorted scales, or missing context.

Where you'll meet this

Advertising, political messaging, news, corporate reports — distorted graphs are everywhere. Spotting them is essential data literacy.

media literacydata viz
Quick check

A bar graph shows your candidate's support at 52% next to a rival's at 48% — but the y-axis runs from 47% to 53%. What's wrong?

Common tricks

  • Truncated y-axis — starts above 0, exaggerating differences.
  • Inconsistent scales — uneven gaps on an axis.
  • Cherry-picked time range — show only the months that suit your story.
  • 3D / area distortion — bigger icons or 3D wedges fool the eye.
  • Dual y-axes — two scales chosen to fake a correlation.
  • Missing baseline or context — 'up 200%!' from a tiny base.
Your turn

A line graph of global temperature shows a flat line — until you notice the y-axis runs from −50°C to +50°C. What's the trick?

Try it

How do you 'fact-check' a graph?

Check: (1) Where does each axis start? (2) Are the scales even? (3) What time range is shown — and what's excluded? (4) Is it comparing comparable things? (5) Where's the data from?

Watch out

Assuming a graph is honest because the numbers are real. Most misleading graphs use accurate data — the deception is in the *presentation*, not the figures.

Darrell Huff's 1954 book *How to Lie with Statistics* — still in print — catalogued these tricks. Seventy years on, the same ones work because most people never check the axes.

Recap
  • Misleading graphs use real data, deceptive presentation.
  • Top trick: the truncated y-axis that magnifies small differences.
  • Always check axis start, scale evenness, time range, and source.