Making sense of data relating to a single statistical variable

General Mathematics · Unit 2 — Applications of linear equations and trigonometry, matrices and univariate data analysis · Univariate data analysis 1

Learning objectives (9)

LO-1Classify 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).LO-2Classify a numerical variable as discrete or continuous, e.g. discrete: the number of people in a room; continuous: the temperature in degrees Celsius.LO-3Classify a statistical variable as categorical or numerical.LO-4Describe 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.LO-5Select, 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.LO-6Understand and calculate the (sample) standard deviation, 𝑠𝑥, of a dataset, using technology only.LO-7Understand and calculate the mean, median, mode, range and interquartile range (IQR) of a dataset, with and without technology.  mean: 𝑥̅ = ∑ 𝑥 𝑛  median: (𝑛+1 2)th data value LO-8Understand the meaning of univariate data.LO-9Use statistics as measures of centre and spread of a data distribution, being aware of their limitations. General Mathematics 2025 v1.3

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