Lesson objective: Extend the understanding that reporting data should include not only calculations, but an appropriate data display.

Students bring prior knowledge that scaled graphs can be created to represent data from 3.MD.B.3. This prior knowledge is extended to box plots, dot plots, and histograms as students use data displays to describe the center, spread, and shape of a data set. A conceptual challenge students may encounter is not understanding that all data displays must have equivalently spaced intervals.

The concept is developed through work with data displays, which help reveal the advantages and disadvantages to each data display.

This work helps students deepen their understanding of equivalence because multiple data displays can be created with the same set of data.

Students engage in Mathematical Practice 5 (use appropriate tools strategically) as they discover the advantages and disadvantages of box plots, dot plots, and histograms. Students also engage in this practice by labeling all parts of the data displays appropriately to avoid confusing or misrepresentation.

**Key vocabulary:**

- box plot
- data displays
- dot plot
- histogram
- outlier

**Special materials needed:**