Statistical and probability models: Calculate central tendencies and dispersion of data

Subject outcome 4.1

Calculate central tendencies and dispersion of data.

Learning outcomes

  • Calculate central tendency of ungrouped data namely the mean, median and mode.
  • Calculate measures of dispersion including range, percentiles, quartiles, inter-quartile range and semi-inter-quartile range.

Unit 1: Data collection

By the end of this unit you will be able to:

  • Define the types of data.
  • Differentiate between grouped and ungrouped data.
  • Create an ungrouped data frequency distribution and understand when to use it.
  • Collect, organise and interpret univariate numerical data.

Unit 2: Measures of central tendency of ungrouped data

By the end of this unit you will be able to:

  • Differentiate between the mean, median and mode.
  • Calculate the mean, median and mode for ungrouped data.

Unit 3: Measures of dispersion of ungrouped data

By the end of this unit you will be able to:

  • Calculate the range, inter-quartile range and semi-inter-quartile range.
  • Calculate percentiles and quartiles.

License

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National Curriculum (Vocational) Mathematics Level 2 by Department of Higher Education is licensed under a Creative Commons Attribution 4.0 International License, except where otherwise noted.

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