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Paper 2

STATISTICS AND DATA HANDLING
(a) Calculate and represent measures of central tendency and dispersion in univariate numerical data by:
  • five number summary (maximum, minimum and quartiles);
  • box and whisker diagrams;
  • ogives;
  • calculating the variance and standard deviation of sets of data manually (for small sets of data) and using available technology (for larger sets of data), and representing results graphically using histograms and frequency polygons.

Represent bivariate numerical data as a scatter plot and suggest intuitively whether a linear, quadratic or exponential function would best fit the data (problems should include issues related to health, social, economic, cultural, political and environmental issues).

Clarification

  • Use and apply concepts including
    - Measures of central tendency
    - Graphical representation of data
    - Measures of dispersion
  • Write down a five number summary and draw box and whisker diagrams. Interpret and make comparisons between different box and whisker diagrams.
  • Draw and interpret ogives.
  • Calculate variance and standard deviation (use of the calculator is advised). Interpret standard deviations for normal distributions.
  • Represent bivariate data including scatter plots and describe the line of best fit and interpret the graphs.
There is no new content that needs to be covered in Grade 12 for the core papers. All data handling that is taught in Grade 10 and 11 will be examined in Grade 12.