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:

• Student worksheet
• Teacher instructions

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