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Topic lesson

Units and scale: what the axis really measures

About 4 min

Questions stay in the language in which they were published.

These questions test whether you read the axis before the picture. The drawing is accurate, yet how large a difference looks depends on where the value axis begins, what unit its label carries, and which quantity is being plotted at all.

Four checks before you read a value

Run these four checks on the value axis every time. They take seconds, and each of them changes the answer when it is skipped.

CheckWhy it changes the answer
What quantity is namedA chart may plot a level, a share of a whole, or a rate of change; these are different things, and only the axis label says which one is drawn
Which unit the label carriesA label counted in millions, or in percent, means the plotted numbers are expressed in those units, so the plain count is the plotted number scaled by that word
Where the axis startsAn axis that begins above zero cuts the same amount off every bar, which makes the remaining stubs look far more different from one another than the values are
How large the gridline step isThe step tells you how much one interval is worth, and therefore what a value between two labelled lines can be

After the checks, read values, not shapes. Where a bar or a point ends between two labelled gridlines, split the interval: an end that sits a fraction of the way from the lower line to the upper one is worth that same fraction of a step above the lower line's number. A difference between two categories is then the subtraction of the two read values, and it stays the same number however dramatic or however flat the picture happens to look.

Where the marks are lost

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Question 22

According to the chart, how many units did the factory produce in Q2?

Bar chart titled Factory output per quarter. Value axis: Output, thousand units, gridlines every 0.5 from 0 to 3.5. Data: Q1 1.5, Q2 2.5, Q3 2, Q4 3.
  1. 250 units
  2. 2,500 units
  3. 25 units
  4. 2.5 units
Question 23

According to the chart, which value is closest to the number of parcels handled on Tuesday?

Bar chart titled Parcels handled by a depot per day. Value axis: Parcels, gridlines every 20 from 0 to 60. Data: Mon 40, Tue 30, Wed 50, Thu 20.
  1. 20 parcels
  2. 40 parcels
  3. 30 parcels
  4. 50 parcels
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Units and scale: what the axis really measures · Questena