Choosing the Right Display

Algebra 1 · Axiom Academy

One set of numbers, three ways to show it. Each display hides some things and makes others jump out — so the right chart depends on the question you're asking. The same data can wear three different faces Fifteen students took a quiz scored out of 10. That's the whole story — one little list of numbers. But a list is hard to read at a glance, so we draw it. The surprise: the same fifteen scores can become a dot plot, a histogram, or a box plot, and each one tells you something the others bury. Watch the fifteen scores below morph through all three displays in turn — first stacking up as a dot plot , then merging into a histogram's bars, then collapsing down to a box plot's five-number summary. Same data the whole way through; only the costume changes. Nothing was added or removed — every face is the very same fifteen numbers, re-arranged. Flip between the displays yourself Same fifteen scores, your choice of view. Tap each button and notice what gets easy to read and what disappears: the dot plot shows every single student, the histogram shows the shape of the crowd, and the box plot shows the spread at a glance. No view is "best" — each one trades detail for a clearer big picture. Which display answers which question? Here's the real skill: starting from a question and reaching for the display that answers it fastest. Pick a question and watch the chart that handles it best appear, with the answer lit up right on the data.

This is the written version of the interactive lesson above. See the full Algebra 1 course.