Objectives:


Support:

  • Given a problem that can be addressed by statistical methods, suggest possible answers.
  • Design a data collection sheet or questionnaire to use in a simple survey;
  • construct frequency tables for discrete data, grouped where appropriate in equal class intervals.
  • Calculate statistics for small sets of discrete data:
    • find the mode, median and range, and the modal class for grouped data;
    • calculate the mean, including from a simple frequency table, using a calculator for a larger number of items.
  • Construct, on paper and using ICT, graphs and diagrams to represent data, including:
    • frequency diagrams for grouped discrete data;
    • use ICT to generate pie charts.
  • Write a short report of a statistical enquiry and illustrate with appropriate diagrams, graphs and charts, using ICT as appropriate; justify choice of what is presented.

Core:

  • Discuss a problem that can be addressed by statistical methods and identify related questions to explore.
  • Decide which data to collect to answer a question, and the degree of accuracy needed; identify possible sources.
  • Plan how to collect the data, including sample size;
  • construct frequency tables with given equal class intervals for sets of continuous data.
  • Collect data using a suitable method, such as observation, controlled experiment, including data logging using ICT, or questionnaire.
  • Calculate statistics, including with a calculator; calculate a mean using an assumed mean; know when it is appropriate to use the modal class for grouped data.
  • Construct, on paper and using ICT:
    • bar charts and frequency diagrams for continuous data;
    • simple line graphs for time series;
    • identify which are most useful in the context of the problem.
  • Interpret tables, graphs and diagrams for continuous data and draw inferences that relate to the problem being discussed; relate summarised data to the questions being explored.
  • Compare two distributions using the range and one or more of the mode, median and mean.
  • Communicate orally and on paper the results of a statistical enquiry and the methods used, using ICT as appropriate; justify the choice of what is presented.
  • Compare experimental and theoretical probabilities in different contexts.
  • Solve more complex problems by breaking them into smaller steps or tasks, choosing and using graphical representation, and also resources, including ICT.

Extension:

  • Discuss how data relate to a problem; identify possible sources, including primary and secondary sources.
  • Design a survey or experiment to capture the necessary data from one or more sources; determine the sample size and degree of accuracy needed; design, trial and if necessary refine data collection sheets;
  • construct tables for large discrete and continuous sets of raw data, choosing suitable class intervals.
  • Compare two or more distributions and make inferences, using the shape of the distributions, the range of data and appropriate statistics.
  • Appreciate the difference between mathematical explanation and experimental evidence.

Key Vocabulary:


  • sample, primary source, secondary source, data log, two-way table, discrete, continuous, stem-and-leaf diagrams, scatter graphs, distance-time graph, line graph, theoretical probability, experimental probability, outcome, event.

Suggested Lesson Outcomes:


SUPPORT CORE

Framework:









Teaching & Learning Resources:


DH Cycle Resources
Interpreting Graphs Resources
Data Planning Resources
Graphs Resources
Bar Charts Resources
Frequency Diagram Resources
Pie Charts Resources
Averages Resources
Scatter Graph Resources