OCR MEI AS Paper 2 2023 June — Question 12

Exam BoardOCR MEI
ModuleAS Paper 2 (AS Paper 2)
Year2023
SessionJune
TopicData representation
TypeIdentify and compare sampling techniques

12 Doctors are investigating the weights of adult males registered at their surgery. One week they collect a sample by noting the weight in kilograms of all the adult males who have an appointment at their surgery.
  1. State the sampling method they use.
  2. Explain why this method will not generate a simple random sample of all the adult males registered at their surgery. They represent the data using a histogram.
    \includegraphics[max width=\textwidth, alt={}, center]{82438df0-6550-4ffd-92d8-3c67bec59a6b-09_1166_1243_726_233} An incomplete frequency table for the data is shown below.
    Weight in kg\(50 -\)\(65 -\)\(75 -\)\(80 -\)\(90 -\)\(100 - 120\)
    Frequency8
  3. Complete the copy of the frequency table in the Printed Answer Booklet. One of these patients is selected at random.
  4. Determine an estimate of the probability that he weighs either less than 60 kg or more than 110 kg .
  5. Explain why your answer to part (d) is an estimate and not exact.