Edexcel S1 2014 June — Question 5

Exam BoardEdexcel
ModuleS1 (Statistics 1)
Year2014
SessionJune
TopicData representation
TypeDraw cumulative frequency graph from frequency table

  1. The table shows the time, to the nearest minute, spent waiting for a taxi by each of 80 people one Sunday afternoon.
Waiting time
(in minutes)
Frequency
\(2 - 4\)15
\(5 - 6\)9
76
824
\(9 - 10\)14
\(11 - 15\)12
  1. Write down the upper class boundary for the \(2 - 4\) minute interval. A histogram is drawn to represent these data. The height of the tallest bar is 6 cm .
  2. Calculate the height of the second tallest bar.
  3. Estimate the number of people with a waiting time between 3.5 minutes and 7 minutes.
  4. Use linear interpolation to estimate the median, the lower quartile and the upper quartile of the waiting times.
  5. Describe the skewness of these data, giving a reason for your answer.