60 students completed a maze challenge. Their completion times, in minutes, are summarised by a box plot with minimum 1.4, lower quartile 3.2, median 4.1, upper quartile 5.3 and maximum 10.2. The value 10.2 is shown as a high outlier on the box plot.
∑x=270∑x2=1301.4 \sum x = 270 \quad \sum x^2 = 1301.4 ∑x=270∑x2=1301.4Write down the range of the times.
Write down the interquartile range of the times.
Calculate the mean and the standard deviation of the times.
State, giving a reason, whether you would recommend using the mean and standard deviation or the median and interquartile range to describe these data.
28 exam-style questions on Edexcel AS Level Maths Representations of Data, covering 3.1 Outliers, 3.2 Box Plots, 3.3 Cumulative Frequency, 3.4 Histograms, and 3.5 Comparing Data. Each one has a worked solution and a mark scheme showing where the marks go.