Two hospitals report waiting times.
median (min)IQR (min)range (min)P4218160Q473196\begin{array}{c|ccc}&\text{median (min)}&\text{IQR (min)}&\text{range (min)}\\\hline P&42&18&160\\Q&47&31&96\end{array}PQmedian (min)4247IQR (min)1831range (min)16096
Compare the typical waiting time and spread at the hospitals.
Give a plausible feature of hospital P's distribution that explains why the IQR and range lead to different comparisons.
State two further pieces of information needed before recommending a hospital.
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.