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Idea 22of 22Builds onCompare shares, not counts

A sample predicts the group

How can a sample tell you about everyone?

Today you'll discover

  • how a sample's share carries to the school
  • how to work out the prediction
  • when not to trust it

Think first6 of the 24 asked want a court

6 of the 24 students asked want a court. About how many of all 240?

Decide first, then press Next. Watch the short sample bar stretch to the school's length.

Two bars: the sample, 6 of 24 want a court, and the school of 240 with its part unknown. Each whole is drawn to the same scale, the sample a tenth as long. Then both are drawn the same length, and a dashed part on the school's bar matches the sample's part: about 60. Marks every 10% show both at 25%.

See the whole ideathe big idea and the key word, in one place

The big idea

A fair sample's share is a prediction for the population: 6 of 24 suggests about 60 of 240.

Keep the share

Find the sample's share, then take the same share of the population.

  1. sample6 of 24
  2. share1 in 4, 25%
  3. schoolabout 60 of 240

Easy to get wrongA prediction is close, not exact. Another fair sample might suggest 55 or 65, and that is normal variation.

Key word

prediction
a careful guess about the whole population, made from a fair sample

Ready to use it?

  • Use a sample's relative frequency to predict for the population.
Practise this idea