In a study of how students use their mobile telephones, the phone usage of a random sample of 11 students was examined for a particular week. The total length of calls, y y\,y minutes, for the 11 students were:
17, 23, 35, 36, 51, 53, 54, 55, 60, 77, 110
Find the median and quartiles for these data.
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. Show that 110 is the only outlier.
Draw a box plot for these data indicating clearly the position of the outlier.
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.