Math Playground
Data

Bar graphs

Compare categories at a glance — taller bar means bigger.

Five numbers in a table say nothing at a glance. Five bars of different heights say everything in half a second. That's why bar graphs are everywhere.

A bar graph compares categories using rectangular bars whose lengths are proportional to the values. Great for 'which is biggest?' at a glance.

Where you'll meet this

Sales by region, votes per candidate, goals per player, survey responses — anytime you compare distinct categories.

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Edit the data — the chart follows
12Football8Basketball5Tennis9Swimming6Cricket

Bar graph rules

  • Bars have gaps between them — categories aren't continuous.
  • Start the y-axis at 0 — otherwise differences look exaggerated.
  • Equal bar widths — only the length should carry meaning.
  • Horizontal or vertical both fine; horizontal helps long labels.
Your turn

Why is starting the y-axis at 50 instead of 0 misleading?

Try it

Bar graph vs histogram — what's the difference?

Bar graphs compare categories (gaps between bars). Histograms show distributions of a continuous variable (bars touch). Same shape, different meaning.

Watch out

Truncated y-axis is the #1 way bar graphs lie. Always check where the axis starts before believing a dramatic-looking difference.

For comparing parts of a whole, a bar graph usually beats a pie chart — humans judge lengths more accurately than angles.

Recap
  • Bars (with gaps) compare categories.
  • Start the y-axis at 0 — or you're misleading.
  • For part-of-whole comparisons, bars beat pies.