CAIE S1 2012 November — Question 3

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2012
SessionNovember
TopicMeasures of Location and Spread
TypeCumulative frequency graph construction then interpretation

3 The table summarises the times that 112 people took to travel to work on a particular day.
Time to travel to
work \(( t\) minutes \()\)
\(0 < t \leqslant 10\)\(10 < t \leqslant 15\)\(15 < t \leqslant 20\)\(20 < t \leqslant 25\)\(25 < t \leqslant 40\)\(40 < t \leqslant 60\)
Frequency191228221813
  1. State which time interval in the table contains the median and which time interval contains the upper quartile.
  2. On graph paper, draw a histogram to represent the data.
  3. Calculate an estimate of the mean time to travel to work.