Probabilities from experiments and statistical displays

Calculate and estimate probabilities from experimental data and statistical displays, compare experimental and theoretical probabilities, and justify conclusions using evidence.

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Te reo Māori terms

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Learning objective overview

Master Teaching Guide coverage for this objective.

Resources

  • Alpha textbook: Frequency tables, Ex 33.03, pg 568-569
  • Alpha textbook: Connecting experimental results with models of the
  • Alpha textbook: possible outcomes, Ex 33.04, pg 571-572
  • Dr Austin Maths - Theoretical and Experimental Probability Revision Practice Grid: PDFQuestions PDF · Answers

Terminology

  • experimental probability
  • theoretical probability
  • probability
  • experiment
  • trial
  • outcome
  • frequency
  • statistical display
  • bar chart
  • tally chart
  • data table

Task goals

  • Calculate experimental probability by counting favourable outcomes from an experiment and expressing it as a fraction, decimal, or percentage.
  • Read and extract data from statistical displays (bar charts, tally charts, frequency tables) to estimate probabilities.
  • Compare experimental probabilities with theoretical probabilities and explain whether observed results are reasonable.
  • Justify conclusions about probability using data and evidence from an experiment or display.

Key skills

  • Experimental probability
  • Theoretical probability
  • Frequency tables
  • Data summary

Quick stats

  • 81 total questions
  • 3 difficulty levels
  • Answers included