Math Playground
Data

Dot plots

One dot per data point — see exactly where each value lands.

Got 30 numbers between 1 and 10? Stack a dot above each value every time it appears. In ten seconds you've got a picture of the whole dataset — no software needed.

A dot plot shows each data value as a dot, stacked above a number line. It's a histogram you can draw by hand, keeping every individual data point visible.

Where you'll meet this

Small datasets, classroom statistics, quick exploratory looks — when you want to see the shape *and* every point, not just bins.

statisticseducation
Edit the data set
mean = sum/11 = 6.36median = 6mode = 6range = 93 = 6

Reading a dot plot

  • Tallest stack = mode.
  • Total dots = sample size.
  • Gaps and clusters = where data is sparse or bunched.
  • Lone dots far out = outliers.
Your turn

On a dot plot, how do you find the median?

Try it

Dot plot vs histogram — when use which?

Dot plot: small dataset, want every point visible, drawing by hand. Histogram: large dataset, fine with grouping into bins, want a smooth shape.

Watch out

Dot plots don't scale. With 5,000 points you'd have a wall of dots. Switch to a histogram once the stacks get unreadable.

Dot plots double as a teaching tool — students can physically place a sticky note for their value and watch the distribution build, just like the Galton board.

Recap
  • Each value = a dot, stacked above a number line.
  • Tallest stack = mode; total dots = sample size.
  • Great for small datasets; use histograms for big ones.