Question

How do opinion polls work and what does margin of error mean?

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Answer

A poll estimates what a whole population thinks by asking a sample of it. The margin of error quantifies how much the sample result might differ from the true figure purely by chance.

Why a small sample works. With genuine random sampling, precision depends far more on sample size than on population size. This is why a poll of 1,000 people can describe a country of 60 million — and why increasing the sample from 1,000 to 2,000 improves precision only modestly, since the error falls with the square root of sample size. Doubling accuracy requires quadrupling the sample.

Margin of error is typically quoted at 95% confidence, and for a sample of around 1,000 it is roughly ±3 percentage points. That means: if the poll were repeated many times, 95% of the results would fall within 3 points of the true value.

Two things people consistently get wrong:

It applies to each figure separately. If a poll shows 42% against 38% with a ±3 margin, the gap has a larger uncertainty than 3 points — errors on both numbers compound. A 4-point lead in a ±3 poll is not a clear lead.

It only covers sampling error. It says nothing about the far larger sources of error described below.

What the margin of error does not capture:

Non-response bias, now the dominant problem. Response rates have collapsed, and the people who answer may differ systematically from those who do not.

Weighting decisions. Raw samples are never representative, so pollsters weight by demographics and past vote. Those choices are judgement calls, and different reasonable choices produce different headline figures — sometimes by more than the margin of error.

Question wording and order, which demonstrably move answers.

Turnout modelling, which for election polls is often the largest source of error.

Read the trend across many polls, not one, and check the fieldwork dates and the pollster.

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