Children from two schools A and B took part in a competition to complete a puzzle. The distribution of times taken, to the nearest minute, by children in school A are shown in the box plot below.
Write down the time by which 75% of the children in school A had completed the puzzle.
State what the two crosses (x) represent on the box plot above. Interpret these in context.
For school B the shortest time taken was 6 minutes, the longest time taken was 22 minutes and the quartiles were 12, 15 and 17 minutes respectively. A value that is greater than Q3+1.5×(Q3−Q1)Q_3 + 1.5 \times (Q_3 - Q_1)Q3+1.5×(Q3−Q1) or smaller than Q1−1.5×(Q3−Q1)Q_1 - 1.5 \times (Q_3 - Q_1)Q1−1.5×(Q3−Q1) is defined as an outlier. Determine if there are any outliers.
Draw a box plot for this information.
Compare the two distributions.
Representations of Data Questions
Practise Edexcel AS Level Maths Representations of Data with exam-style questions for AS Level Maths. 10 questions covering Outliers, Box Plots, Cumulative Frequency, Histograms, and Comparing Data, matched to the Edexcel AS Level Maths (8MA0) specification and written in Paper 1 and Paper 2 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.