CAIE S1 2016 November — Question 5

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2016
SessionNovember
TopicData representation
TypeDraw histogram from frequency table

5 The number of people a football stadium can hold is called the 'capacity'. The capacities of 130 football stadiums in the UK, to the nearest thousand, are summarised in the table.
Capacity\(3000 - 7000\)\(8000 - 12000\)\(13000 - 22000\)\(23000 - 42000\)\(43000 - 82000\)
Number of stadiums403018348
  1. On graph paper, draw a histogram to represent this information. Use a scale of 2 cm for a capacity of 10000 on the horizontal axis.
  2. Calculate an estimate of the mean capacity of these 130 stadiums.
  3. Find which class in the table contains the median and which contains the lower quartile.