S1 June 2013 Q2

EdexcelOld spec11 marksData Processing

2. The marks of a group of female students in a statistics test are summarised in Figure 1

Figure 1: Box plot of female marks on a grid from 10 to 100, with an empty row for males
Figure 1
(a) Write down the mark which is exceeded by 75% of the female students. (1)

The marks of a group of male students in the same statistics test are summarised by the stem and leaf diagram below.

Mark(2|6 means 26)Totals
14(1)
26(1)
34 4 7(3)
40 6 6 7 7 8(6)
50 0 1 1 1 3 6 7 7(9)
62 2 3 3 3 8(6)
70 0 8(3)
85(1)
90(1)
(b) Find the median and interquartile range of the marks of the male students. (3)

An outlier is a mark that is

either more than \(1.5\,\times\) interquartile range above the upper quartile

or more than \(1.5\,\times\) interquartile range below the lower quartile.

(c) In the space provided on Figure 1 draw a box plot to represent the marks of the male students, indicating clearly any outliers. (5)
(d) Compare and contrast the marks of the male and the female students. (2)
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