Question 93
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 was
15, 22, x, 37, 49, 52, 54, 56, 61, 78, 118 15,\ 22,\ x,\ 37,\ 49,\ 52,\ 54,\ 56,\ 61,\ 78,\ 118 15, 22, x, 37, 49, 52, 54, 56, 61, 78, 118The lower quartile is 34.
A value greater than Q3+1.5(Q3−Q1)Q_3+1.5(Q_3-Q_1)Q3+1.5(Q3−Q1) or smaller than Q1−1.5(Q3−Q1)Q_1-1.5(Q_3-Q_1)Q1−1.5(Q3−Q1) is defined as an outlier.
a.[3]
Find the value of xxx, the median and upper quartile for these data.
b.[2]
Show that 118 is the only outlier.
c.[3]
Draw a box plot for these data, indicating clearly the position of the outlier.
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.