Edexcel S1 — Question 7

Exam BoardEdexcel
ModuleS1 (Statistics 1)
TopicData representation
TypeCompare distributions using stem-and-leaf

7. The back-to-back stem and leaf diagram shows the journey times, to the nearest minute, of the commuter services into a big city provided by the trains of two operating companies.
Company \(A\)Company \(B\)
(3)4312056689(6)
(4)9865313479(5)
(4)8862401358()
(6)975321526899()
(3)65363477()
(3)3227015( )
Key : 4| 3 | 6 means 34 minutes for Company \(A\) and 36 minutes for Company \(B\).
  1. Write down the numbers needed to complete the diagram.
  2. Find the median and the quartiles for each company.
  3. On graph paper, draw box plots for the two companies. Show your scale.
  4. Use your plots to compare the two sets of data briefly.
  5. Describe the skewness of each company's distribution of times.