Use more trials to study variation
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In these invented records, how many more trials were used in the long run than the short run?
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Invented coin-simulation records for a short run and a separate run with ten times as many trials.
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Answer: 198
- The runs contain 22 and 220 trials.
- The increase is 198 trials.
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Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Run repeated experiments and digital simulations, comparing results with predictions.
Read the official VCAA curriculum description (VC2M6P02)
These quizzes practise concepts within this topic. Multiple-choice answers alone do not demonstrate drawing, conducting an investigation or using a digital tool.
Activities to practise beyond the quiz
- Supported by the guided activity; selecting an MCQ does not demonstrate this action.
- VC2M6P02-C01Observed results tell what happened; a model gives an expected result. For a fair coin, the expected heads count is half the trial count, but a particular run can differ. Divide an observed count by its own total to find relative frequency.
- VC2M6P02-C02Runs of different sizes need proportion comparisons, not raw-count comparisons alone. For exhaustive, non-overlapping outcomes, relative frequencies add to one. Keep invented practice records separate from results you actually collect.
- VC2M6P02-C03More trials tend to reduce proportional fluctuation, but do not guarantee a closer result on every run. A short run may match the model exactly by chance. Pool records by adding counts and totals; do not average rates equally when their trial counts differ.
- VC2M6P02-C04Creating, conducting or using the described practical or digital activity; selecting an MCQ answer does not demonstrate this action.
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Descriptor-derived subskills
- D01Record observations and expectationsObserved results tell what happened; a model gives an expected result. For a fair coin, the expected heads count is half the trial count, but a particular run can differ. Divide an observed count by its own total to find relative frequency.
- D02Compare runs fairlyRuns of different sizes need proportion comparisons, not raw-count comparisons alone. For exhaustive, non-overlapping outcomes, relative frequencies add to one. Keep invented practice records separate from results you actually collect.
- D03Explain variation as trials increaseMore trials tend to reduce proportional fluctuation, but do not guarantee a closer result on every run. A short run may match the model exactly by chance. Pool records by adding counts and totals; do not average rates equally when their trial counts differ.