Making sense of data relating to a single statistical variable
12 hours
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Understand the meaning of univariate data.
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Classify a statistical variable as categorical or numerical.
1 interactive
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Classify a categorical variable as ordinal or nominal and use tables and pie, bar and column charts to organise and display the data, e.g. ordinal: income level (high, medium, low); nominal: place of birth (Australia, overseas).
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Classify a numerical variable as discrete or continuous, e.g. discrete: the number of people in a room; continuous: the temperature in degrees Celsius.
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Select, construct and justify an appropriate graphical display to describe the distribution of a numerical dataset, including dot plot, stem-and-leaf plot, column chart and histogram.
1 interactive
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Describe a graphical display in terms of the number of modes, shape (symmetric versus positively or negatively skewed), measures of centre and spread, and outliers, and interpret this information in the context of the data.
1 interactive
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Understand and calculate the mean, median, mode, range and interquartile range (IQR) of a dataset, with and without technology.
1 interactive
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Understand and calculate the (sample) standard deviation,, of a dataset, using technology only.
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Use statistics as measures of centre and spread of a data distribution, being aware of their limitations.