Two samples have the summaries below.
minQ1medianQ3maxA412182547B215212938\begin{array}{c|ccccc}&\min&Q_1&\text{median}&Q_3&\max\\\hline A&4&12&18&25&47\\B&2&15&21&29&38\end{array}ABmin42Q11215median1821Q32529max4738
Compare the location and spread of the samples.
Explain why the range and IQR give different messages about spread.
121 exam-style questions on OCR (MEI) A Level Maths 2.2 Data Presentation and Interpretation, covering 2.2.1 Types of data and standard diagrams, 2.2.2 Area in a histogram is proportional to frequency, 2.2.3 Cumulative frequency diagram, 2.2.4 Describe frequency distributions, 2.2.5 Samples and theoretical distributions, 2.2.6 Interpret a scatter diagram, 2.2.7 Distinct sections and outliers in scatter diagrams, 2.2.8 Correlation and causation, 2.2.9 Select or critique data presentation techniques, 2.2.10 Measures of central tendency, 2.2.11 Simple measures of spread, 2.2.12 Variance and standard deviation, 2.2.13 Outliers, 2.2.14 Cleaning data, and 2.2 Data Presentation and Interpretation. Each one has a worked solution and a mark scheme showing where the marks go.