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

Traps in Visual Data

A chart can mislead using only true numbers, by choosing a scale, a unit, or a pairing that exaggerates a difference the raw figures do not support. Reading it well means checking what the axis, the denominator, and the two series actually prove.

The questions on visual data rarely ask you to do math. They ask you to catch a gap between what a chart shows and what the caption claims. Every number printed can be accurate and the chart can still be built to deceive, because deception usually lives in the axis, not the data. Start a vertical axis at 48 instead of 0, and a rise from 48 to 52 percent fills the whole panel, looking like a surge rather than a four-point move. The numbers are true. The scale is lying.

The same trick works through units. Raw counts favor whichever group is bigger, since a larger population almost always produces more cases, more sales, more incidents. Switch to a rate, such as cases per thousand people, and the smaller district can easily come out ahead, because the rate divides out population size and asks a different question: how dense is this, not how big is this. Neither count nor rate is wrong. They answer different questions, and a passage can pick whichever one makes its claim look stronger. Unequal bar widths drawn uniformly cause a related problem, hiding the fact that categories being compared are not the same size to begin with.

The other trap sits between two series plotted on one panel. If broadband subscriptions rise and house prices rise over the same ten years, the figure has shown two separate increases and nothing more. No arrow connects them. The passage supplies the data, your job is to stop exactly where the data stops, and resist a causal story the chart never drew.

Key terms

Truncated axis
A vertical axis that starts above zero, stretching small differences to look large.
Rate
A count divided by a group size, such as cases per thousand people, letting unequal groups be compared fairly.
Count
A raw total that naturally favors whichever group or category is larger.
Correlation
Two values changing together, which on its own never proves that one causes the other.

Watch it explained

  1. How it worksHow does a truncated vertical axis exaggerate a change that barely happened?
  2. How it worksHow does switching from counts to percentages flip which bar looks biggest?
  3. Worked exampleShow me a chart where a rise from 48 to 52 percent is drawn to look like a doubling.
  4. Common mistakeWhy isn't two lines rising together proof that one of them is driving the other?
  5. Going furtherWhat happens when a figure's categories are unequal but every bar is drawn the same width?

Check yourself

Your turnmedium1 of 3
Passage: A campaign prints a two-bar chart of support for a proposal, captioned 'support has surged'. Support stands at 49 percent in the first bar and 56 percent in the second. The vertical axis begins at 44 percent rather than at zero, so the difference fills the panel. By how many percentage points did support actually rise?

End of topic.