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Displaying Data in Graphs
Rung 1 of 4 · Discover

A Graph Is Just a Picture of the Numbers

Before you draw a single bar, get the big idea: a graph doesn't add anything to your data — it just shows it. Same table, three different pictures, take your pick.

NESA MA4-DAT-C-01Foundation concept

PlayThe table at the bottom never moves. Tap the buttons up top and watch the same numbers turn into a column graph, a dot plot, then a divided bar.
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Picture the class tipping out their recess: six apples, four bananas, three oranges, two bunches of grapes. That's a tiny dataset — four categories and a count for each. You could just leave it as a list, but a list is hard to feel. A graph turns those counts into something your eye reads in a second.

One Table, Three Pictures

Hit the buttons in the toy and you'll see the very same four numbers drawn three ways. A column graph gives each fruit a bar, and taller means more — apples stand head and shoulders above the grapes. A dot plot stacks one dot per piece of fruit, so you're literally counting the dots. A divided bar takes the whole lot — fifteen pieces — and chops one long bar into slices, which is brilliant when you care about parts of a whole: how big a slice is "apple" compared to everything brought in?

Say it plainly: a graph adds no new information — it just re-draws the table so a person can read it at a glance. The numbers are the truth; the graph is the picture of the truth.

Why Bother Having Different Pictures?

Because different questions want different shapes. If you want to compare amounts — who got the most? — columns or dots win, because heights and stacks are easy to line up. If you want to see how the whole splits up — what fraction was apples? — the divided bar is unbeatable, because the whole bar is the total and each slice is its share. Same data, different job, different picture.

The Thing to Carry Forward

Once you believe a graph is just a re-drawn table, two things follow. Drawing one (rung 2) is easy — you're only copying counts into heights. And reading one (rung 4) is the same move backwards — trace a bar to the axis and you've recovered the number. Everything in this concept is that one idea, forwards and back.

Us, Thinking Out Loud

If the picture changes but the numbers don't, what is a graph actually for?

Which of the three made it quickest for you to spot the most popular fruit?