S1 June 2006 Q1

EdexcelOld spec15 marksData Processing

1.

(a) Describe the main features and uses of a box plot. (3)

Children from schools \(A\) and \(B\) took part in a fun run for charity. The times, to the nearest minute, taken by the children from school \(A\) are summarised in Figure 1.

Figure 1: box plot for School A on a time scale from 10 to 60 minutes: whiskers 20 and 50, quartiles 25, 30 and 37, two crosses at about 54 and 57
Figure 1
(b)
(i) Write down the time by which 75% of the children in school \(A\) had completed the run.
(ii) State the name given to this value. (2)
(c) Explain what you understand by the two crosses (×) on Figure 1. (2)

For school \(B\) the least time taken by any of the children was 25 minutes and the longest time was 55 minutes. The three quartiles were 30, 37 and 50 respectively.

(d) Draw a box plot to represent the data from school \(B\). (4)
(e) Compare and contrast these two box plots. (4)
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