CAIE S1 2016 June — Question 7

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2016
SessionJune
TopicData representation
TypeDraw cumulative frequency graph from frequency table

7 The amounts spent by 160 shoppers at a supermarket are summarised in the following table.
Amount spent \((
) x )\(
\)0 < x \leqslant 30\(\)30 < x \leqslant 50\(\)50 < x \leqslant 70\(\)70 < x \leqslant 90\(\)90 < x \leqslant 140$
Number of shoppers1640482630
  1. Draw a cumulative frequency graph of this distribution.
  2. Estimate the median and the interquartile range of the amount spent.
  3. Estimate the number of shoppers who spent more than \(
    ) 115$.
  4. Calculate an estimate of the mean amount spent.