GCSE · Sampling
Populations & samplesExam-style questions
What a population and a sample are and why we sample at all; why a representative sample matters more than a big one; and the two calculations that earn the marks — scaling a sample up to estimate a population total (including capture–recapture and its assumptions) and sharing a stratified sample out in proportion.
11 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try
- 1A head teacher wants to know how the students at her school travel to school. She asks of them. What name is given to (a) the students,
(b) the students?Level 1 · 2 marksTry it - 2Give one reason why someone might take a sample instead of asking the whole population.Level 1 · 1 markTry it
- 3A factory makes batteries each day.
To check quality, a random sample of batteries is taken and each one is run until it stops working.
(a) Write down the population in this investigation.
(b) Explain why the factory tests a sample of batteries rather than carrying out a census.
(c) of the batteries tested lasted less than the advertised time.
Estimate how many of the batteries made that day would last less than the advertised time.Level 2 · 4 marksTry it - 4A conservation group wants to estimate the number of newts in a pond.
They catch newts, mark each one and return them to the pond.
A week later they catch newts. of these newts are marked.
Work out an estimate for the number of newts in the pond.Level 3 · 3 marksTry it - 5A company employs people at three sites.
A stratified sample of employees is to be taken.Site Number of employees Leeds Bristol Cardiff
(a) Work out the number of employees from Leeds that should be in the sample.
(b) The sample is to contain employees from Bristol.
Work out the number of employees from Cardiff that should be in the sample.Level 3 · 4 marksTry it
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