OCR S1 2009 June — Question 5

Exam BoardOCR
ModuleS1 (Statistics 1)
Year2009
SessionJune
TopicData representation
TypeCalculate frequency density from frequency

5 The diameters of 100 pebbles were measured. The measurements rounded to the nearest millimetre, \(x\), are summarised in the table.
\(x\)\(10 \leqslant x \leqslant 19\)\(20 \leqslant x \leqslant 24\)\(25 \leqslant x \leqslant 29\)\(30 \leqslant x \leqslant 49\)
Number of stones25222924
These data are to be presented on a statistical diagram.
  1. For a histogram, find the frequency density of the \(10 \leqslant x \leqslant 19\) class.
  2. For a cumulative frequency graph, state the coordinates of the first two points that should be plotted.
  3. Why is it not possible to draw an exact box-and-whisker plot to illustrate the data?