Lesson 21 · Statistics

Multiple Bar Diagrams

MathematicsSubject
13 minEstimated read
Length is the only thing the eye compares

The reader is comparing lengths, so the lengths must be in proportion to the numbers.

Drawing a bar diagram

Step What to do
1Draw two axes: categories along the bottom, frequency up the side
2Choose a scale that fits the largest frequency, marked evenly
3Make every bar the same width, with equal gaps
4Label both axes and give the diagram a title
The frequency axis must start at zero

If the axis starts at 950, a bar of 1100 looks three times a bar of 1000. The numbers are correct and the picture is still a lie.

Bars must all be the same width

A wider bar looks more important even when its height is unchanged, because the reader sees the whole area.

Kinds of bar diagram

A double bar diagram puts two related sets side by side and needs a key. Bars can run horizontally when the category names are long.

A bar diagram is not a histogram

Bars with gaps mean separate categories. Bars that touch mean a continuous scale with no gap in it.

Reading a bar diagram

Check the scale, then check where the vertical axis begins. Those two things take ten seconds and prevent almost every wrong conclusion.

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