Draw a histogram on the grid below for the data in this table.

Write down the modal group.

The maximum word count is \(4000\) words.

Write down the probability that a student chosen at random is on or over the word count.

     (A3)     (C3)

Notes: (A3) for correct histogram, (A2) for one error, (A1) for two errors, (A0) for more than two errors.
Award maximum (A2) if lines do not appear to be drawn with a ruler.
Award maximum (A2) if a frequency polygon is drawn.

[3 marks]

\({\text{Modal group}} = 3800 \leqslant w < 4000\)     (A1)     (C1)

[1 mark]

\({\text{Probability}} = \frac{3}{{35}}{\text{ }}(0.0857{\text{, }}8.57\% )\)     (A1)(A1)     (C2)

Note: (A1) for correct numerator (A1) for correct denominator.

[2 marks]

A surprising number of the candidates did not appear to have brought a ruler/straight edge and so lost a mark in this question as they were asked to draw a histogram which means the lines must be drawn using a ruler/straight edge. Some candidates drew a frequency polygon. Parts (b) and (c) were generally answered well though \(20/35\) was seen occasionally in part (c).

A surprising number of the candidates did not appear to have brought a ruler/straight edge and so lost a mark in this question as they were asked to draw a histogram which means the lines must be drawn using a ruler/straight edge. Some candidates drew a frequency polygon. Parts (b) and (c) were generally answered well though \(20/35\) was seen occasionally in part (c).

A surprising number of the candidates did not appear to have brought a ruler/straight edge and so lost a mark in this question as they were asked to draw a histogram which means the lines must be drawn using a ruler/straight edge. Some candidates drew a frequency polygon. Parts (b) and (c) were generally answered well though \(20/35\) was seen occasionally in part (c).