AC9M8ST03 Year 8 Mathematics

Content descriptor compare variations in distributions and proportions obtained from random samples of the same size drawn from a population and recognise the effect of sample size on this variation

Elaborations

• • Elaboration comparing the proportion of students in favour of a proposal for a change in school uniform between different random samples of 50 students from the school population
• • Elaboration using digital tools to simulate repeated sampling of the same population, such as heights or arm spans of students, recording and comparing means, median and range of data between samples
• • Elaboration using relative frequencies from historical data to predict proportions and the likely number of outcomes in situations such as weather forecasting or the countries of origin of visitors to tourist attractions
• • Elaboration investigating the effect that adding or removing data from a data set has on measures of central tendency and spread
• • Elaboration investigating First Nations Ranger Groups and other groups’ use of sampling techniques to track biodiversity of species
• • Elaboration exploring how the comparison of variations in distributions and proportions from the same population applies to data-driven decision-making and how this relates to training of artificial intelligence systems