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A tall tale

This activity covers the following ideas and leads to a discussion of what the students think the height distribution for all Year 10 new Zealand girls looks like.
It explores:

  • the effect of sample size on the distribution of a sample (sample distribution)
  • how samples of the same size vary
  • how samples of different size vary
  • the connection between the distribution of a population (population distribution) and the distribution of a sample (sample distribution)

Resources:

Level 5

Achievement Objectives

  • Level 5
    • S5-1Plan and conduct surveys and experiments using the statistical enquiry cycle
      • B considering sources of variation
      • D using multiple displays, and re-categorising data to find patterns, variations, relationships, and trends in multivariate data sets
      • E comparing sample distributions visually, using measures of centre, spread, and proportion