Question 4
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.
a.[1]
Write down the time by which 75% of the children in school A had completed the puzzle.
b.[2]
State what the two crosses (x) represent on the box plot above. Interpret these in context.
c.[4]
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+k×(Q3−Q1)Q_3 + k \times (Q_3 - Q_1)Q3+k×(Q3−Q1) or smaller than Q1−k×(Q3−Q1)Q_1 - k \times (Q_3 - Q_1)Q1−k×(Q3−Q1) is defined as an outlier, where k≥1.5k \geq 1.5k≥1.5. Determine, in terms of kkk, if there are any outliers.
d.[3]
Draw a box plot for this information.
e.[3]
Compare the two distributions.
Representations of Data Questions
160 exam-style questions on Edexcel A 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.