Comparing the Distribution of a Numerical Variable Across Groups (VCE SSCE General Mathematics): Flashcards

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Comparing the Distribution of a Numerical Variable Across Groups
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Comparing distributions investigates...

Relationship between numerical & categorical variable

Two graphical methods for comparing distributions

Back-to-back stem plots & parallel boxplots

Best use of back-to-back stem plots

Comparing two small data sets

Best use of parallel boxplots

Larger data sets or more than two groups

Three features to compare in distributions

Centre, spread, outliers

Statistic for comparing centre

Median

Statistic for comparing spread

IQR (Interquartile range)

Structure of back-to-back stem plot

Central stem, two sets of leaves (one per group)

Required language when comparing statistics

Comparative (e.g., 'higher than', 'lower than')

Parallel boxplots vs back-to-back: key advantage

Can compare more than two groups

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