CAIE S1 2015 November — Question 3

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2015
SessionNovember
TopicData representation
TypeCalculate frequency density from frequency

3 Robert has a part-time job delivering newspapers. On a number of days he noted the time, correct to the nearest minute, that it took him to do his job. Robert used his results to draw up the following table; two of the values in the table are denoted by \(a\) and \(b\).
Time \(( t\) minutes \()\)\(60 - 62\)\(63 - 64\)\(65 - 67\)\(68 - 71\)
Frequency (number of days)396\(b\)
Frequency density1\(a\)21.5
  1. Find the values of \(a\) and \(b\).
  2. On graph paper, draw a histogram to represent Robert's times.