Misleading Graphs Examples in Statistics

Start with the recap, study the fully worked examples, then use the practice problems to check your understanding of Misleading Graphs.

This page combines explanation, solved examples, and follow-up practice so you can move from recognition to confident problem-solving in Statistics.

Concept Recap

Graphs can distort data through tricks like truncated axes, inconsistent scales, or cherry-picked time ranges to create false impressions.

A bar that looks 3\times taller might only represent 10% more data if the axis doesn't start at zero. It's like taking a photo from a weird angle to make someone look taller. The data is true, but the picture lies.

Read the full concept explanation →

How to Use These Examples

  • Read the first worked example with the solution open so the structure is clear.
  • Try the practice problems before revealing each solution.
  • Use the related concepts and background knowledge badges if you feel stuck.

What to Focus On

Core idea: Graphs can show true data but still mislead through axis manipulation, cherry-picked ranges, or inappropriate scales that exaggerate or hide differences.

Common stuck point: Students take graphs at face value without checking the axis scale. Always verify that the y-axis starts at zero or note when it does not.

Worked Examples

Example 1

easy
A bar graph shows Company A's sales at 100 and Company B's sales at 110, but the y-axis starts at 95 instead of 0. How does this make the graph misleading?

Solution

  1. 1
    Step 1: When the y-axis starts at 95, Company B's bar appears roughly 3 times taller than Company A's bar (15 units vs 5 units of visible height).
  2. 2
    Step 2: The actual difference is only 110 - 100 = 10, which is a 10% increase.
  3. 3
    Step 3: By truncating the y-axis, the visual impression dramatically exaggerates the difference. Starting the axis at 0 would show the bars as nearly the same height, giving an accurate visual comparison.

Answer

The truncated y-axis (starting at 95 instead of 0) makes a 10% difference look like a 3× difference, exaggerating the gap between the two companies.
Truncating the y-axis is one of the most common ways graphs can mislead. By not starting at zero, small differences appear much larger than they actually are. Always check the axis scale when interpreting bar graphs.

Example 2

medium
A pictograph compares two companies' profits. Company X uses a small money bag symbol and Company Y uses a money bag symbol that is twice as tall AND twice as wide (so 4 times the area). Company Y's profit is actually only twice Company X's. How is this misleading?

Practice Problems

Try these problems on your own first, then open the solution to compare your method.

Example 1

medium
A line graph shows monthly website visits over a year, but the x-axis is not evenly spaced — January to June are compressed into a small space while July to December are spread out. How could this affect the interpretation?

Example 2

hard
A politician presents a pie chart showing their party received 45% of votes, but the 3D perspective makes their slice appear to take up more than half the chart. Identify all the misleading techniques and explain how to fix the chart.
← Back to Misleading Graphs Practice Mode

Related Concepts

Bar GraphLine Graph

Background Knowledge

These ideas may be useful before you work through the harder examples.

bar graphline graphscaling