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S6-1: Plan and conduct investigations using the statistical enquiry cycle: justifying the variables and measures used; managing sources of variation, including through the use of random sampling; identifying and communicating features in context (trends, relationships between variables, and differences within and between distributions), using multiple displays; making informal inferences about populations from sample data; justifying findings, using displays and measures.

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Teaching resources for this Achievement Objective
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Further Investigations of Reaction Times

Level Six
Statistics
Units of Work
In this unit, based on the survey instrument and data used in the Census At School: New Zealand project, students learn about the notion of a distribution, and compare distributions of different variables. Several relevant Level 7 Achievement Objectives are addressed in this unit.
  • Calculate means.
  • Choose appropriate ways of grouping continuous variables in order to represent them on histograms.
  • Compare two distributions.
  • Discuss the difference between the distribution of a variable and the distribution of the mean of a variable.
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Stork Delivery

Level Six
Statistics
Units of Work
This unit involves students in formulating questions about data sets, displaying and analysing data, and reporting conclusions. Information about the pregnancies of 56 woman and their newborn babies is used as a context.
  • Write and answer a question that compares sets of statistical data.
  • Justify the answer to a question with reference to graphs and statistical calculations.
  • Compare data about two variables by finding mean, median, modes, range and interquartile range.
  • Compare data about two variables by drawing graphs300
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Time Series

Level Six
Statistics
Units of Work
In this unit students look at the components of time series. They compare sets of data using displays, use associated vocabulary and determine appropriate statistics. They interpret their results and draw conclusions. From given sets of data and other information they predict population figures.
  • Plan an investigation.
  • Be able to display time series data.
  • Discuss the components and features of time series distributions.
  • Compare features of different time series distributions.
  • Report the results of a statistical investigation concisely and coherently.