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Numbers and charts

Percentages without a base

“Up 100%” with no starting number – going from 3 to 6 cases is also 100%.

A percentage is always a share of something. Without the starting number you can't tell whether it's thousands of cases or three – and with small numbers, big percentages come very easily. Percentages and percentage points also get mixed up a lot.

Example · made up for illustration
A local newsletter reports: “Cellar break-ins up 200%!” Last year two were reported; this year six. Unpleasant, but it says nothing about a “crime wave”.

How to spot it

  • A big percentage (“up 100%”, “tripled”) with no number it was calculated from.
  • Strong words like “wave”, “explosion” or “record” for something that rarely happens anyway.
  • Percentages and percentage points are mixed – “up 2%” is not the same as “up 2 percentage points”.

How to check and what to do

  • Find the absolute numbers: from how many to how many. They are usually in the original source – police statistics, an official report or a press release.
  • Compare with several previous years: are swings like this normal for such small numbers?
  • Do the maths: if a rate rises from 4% to 5%, that's 1 percentage point – but a 25% increase.

Tip: With small numbers, big percentages are almost guaranteed. Only the absolute numbers show whether there's reason to worry.

The card fits on one A4 page – for the classroom, a noticeboard, or parents and grandparents.

Practise it

Lessons and articles where you hunt for this trick with the red pencil.

More tricks from the chapter Numbers and charts.

All tricks in the atlas →

Percentages without a base: how to spot and check it | ThinkCritical.eu