1.1. The large data set contains data on five different makes of car registered in June 2002 and 2016. Data for the number of cars of each make registered in 2002 is summarised in the table below.

  A stratified sample was taken for the car makes in 2002, with the number of cars for Vauxhall given in the table below.

Given that the total number of cars in the sample is 195, use your knowledge of how stratified samples are constructed to complete the table with the appropriate numbers for the other makes of car.

1.2. In a stratified sample of cars registered in 2016, the sample size is chosen so that, to the nearest integer, it represents the same proportion of the total number of cars as was used in the above stratified sample for 2002. In the 2016 sample, the number of BMW cars is the same as the number of Ford cars that appeared in the sample for 2002.

(i) Explain why it is not possible to work out the exact number of BMW cars registered in 2002 using the information given above.

(ii) Given that there were 2528 cars registered in 2016, calculate the range of possible values for the number of BMW cars registered in 2016.