# 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. 