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Representations of Data

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Question 37

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

11, 19, 29, 32, 41, 46, 49, 52, 56, 70, 101 11,\ 19,\ 29,\ 32,\ 41,\ 46,\ 49,\ 52,\ 56,\ 70,\ 101 11, 19, 29, 32, 41, 46, 49, 52, 56, 70, 101

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.

Find the median and quartiles for these data.

[3]
b.

Show that 101 is the only outlier.

[2]
c.

Draw a box plot for these data, indicating clearly the position of the outlier.

A grid for drawing a box plot. The grid is 10 units wide and 4 units high, with each unit divided into 10 smaller squares, totaling 100 squares.

[3]
Markscheme

Representations of Data Questions

  1. A Level
  2. /Maths
  3. /Representations of Data

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.

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