Sixth Grade · Math · week 32

Displaying data with dot plots and histograms

Organize and display a numerical data set using a dot plot and a histogram, choosing appropriate intervals.

A dot plot shows every data value as a dot above a number line - it is great for smaller sets of data because you can see each individual value.

A histogram groups data into equal-width intervals, called bins, and draws a bar for each interval showing how many values fall inside it. Histograms work well for larger data sets where individual dots would be too crowded.

Choosing good intervals matters: too few bins hides patterns, and too many bins scatters the data with no clear pattern. Equal-width bins that cover the whole range work best.

📋 For the teacher
Teach it (10–15 min):
  • Build a dot plot together from real data collected at home, like ages of family members or minutes spent on chores - hands-on data makes the display meaningful.
  • Compare a dot plot and a histogram on the same data to see how histograms trade individual detail for a cleaner overview at larger scales.
  • Practice choosing bin widths - try two different widths on the same data set and discuss which tells the story better.
  • Point out that the height of a histogram bar, or the number of dots, always represents a COUNT, not the data value itself.
Talk about it:
  • When would you choose a dot plot over a histogram, or the other way around?
  • Why does choosing bin width matter for how a histogram looks?
  • What does the tallest bar or stack in a display tell you about the data?

Mastery looks like: They correctly build a dot plot or histogram from a data set with reasonable bins and can explain what the display reveals.

Common stumbles: Confusing the height of a bar or stack, which is a count, with the data value itself; choosing bins that are too narrow or too wide to show a clear pattern.

Homework for this lessonType it, write it with a stylus, or print it for pencil & paper.open →
Records attendance + 15 min of Math for this learner.
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