← All lessonsMATH · STATISTICS & PROBABILITY

Sampling & Margin of Error

A sample can estimate a population. The margin of error shows the likely range.

The rules

  • A random sample is more reliable than a convenience sample.
  • A larger sample gives a smaller margin of error.
  • An estimate of 50% ± 3% means the true value is likely between 47% and 53%.
  • Be careful about claims that go beyond the population sampled.
Watch out: Generalizing to a group the sample doesn't represent.
Worked example

A poll finds 52% support with a margin of error of ±4%. What is the likely range?

  1. 52 − 4 = 48.
  2. 52 + 4 = 56.

Answer: 48% to 56%

Try it yourself

Practice questions for this skill are for signed-in students. A free account is all you need.