⚠️ Leaving gaps between histogram bars H

"The Gap Problem"

Probability & Statistics

The Mistake in Action

Student draws a histogram with gaps between each bar, like a bar chart.

🧠 Why It Happens

Bar charts for categorical data have gaps; students apply the same style to histograms.

The Fix

Histograms represent continuous data — there are no gaps between classes.

  • Bar charts: Discrete/categorical data → gaps between bars
  • Histograms: Continuous data → no gaps between bars

The bars in a histogram touch because one class ends exactly where the next begins (e.g., 10 ≤ x < 20 is followed by 20 ≤ x < 30).

If there genuinely is a gap in the data (e.g., no values between 30 and 50), the histogram simply has no bar in that region — but adjacent classes still touch.

🔍 Spot the Mistake

Can you identify where this student went wrong?

Drawing a histogram

with gaps between bars

Click on the line that contains the error.

📚 Related Topics

Learn more about the underlying maths: