Mathematics Higher Level Robert Joinson

©Sumbooks2002Higher Level87 Sampling 21) The table below shows the number of people belonging to a fitness club.Age< 1818 ≤ Age < 50≥ 50< 1818 ≤ Age < 50≥ 50GenderFFFMMMNumber of Members452331156526577A survey is carried out using a stratified sample of 100 people.Calculate the number of people selected from each of the six groups.2) The number of students in the six faculties at a university are shown in the table below.FacultyArtsBusinessEducationEngineeringLawScienceNumber of Students Stratified Sample1085 4716613971569Some of the figures have been left out.The administrators decide to ask a sample of the students about the ammenities within thecollege. They ask a stratified sample.a) Complete the table.b) How many students are at the university and how many are in the sample?3) A car-sales company want to ask a sample of their customers about the service the showroomgives. They decide to send letters to 50 of the customers from last year. There were 660car sales last year. The table below shows the number of cars sold in the different categories.327Type of car Number soldMini226Small Family172Large Family121Executive85Estate344x4 22Stratified SampleIf the sample they use is stratified, calculate the number of people they need to choose fromeach category of car.