Edexcel S3 2014 June — Question 1

Exam BoardEdexcel
ModuleS3 (Statistics 3)
Year2014
SessionJune
TopicData representation
TypeSelect random sample using random numbers

  1. A tennis club's committee wishes to select a sample of 50 members to fill in a questionnaire about the club's facilities. The 300 members, of whom 180 are males, are listed in alphabetical order and numbered \(1 - 300\) in the club’s membership book.
The club's committee decides to use a random number table to obtain its sample.
The first three lines of the random number table used are given below.
319952241343278811394165008413063179749
722962334461267114806992414837837657339
470684554127067459142920144575311605412
Starting with the top left-hand corner (319) and working across, the committee selects 50 random numbers. The first 2 suitable numbers are 241 and 278. Numbers greater than 300 are ignored.
  1. Find the next two suitable numbers. When the club's committee looks at the members corresponding to their random numbers they find that only 1 female has been selected.
    The committee does not want to be accused of being biased towards males so considers using a systematic sample instead.
    1. Explain clearly how the committee could take a systematic sample.
    2. Explain why a systematic sample may not give a sample that represents the proportion of males and females in the club. The committee decides to use a stratified sample instead.
  2. Describe how to choose members for the stratified sample.
  3. Explain an advantage of using a stratified sample rather than a quota sample.