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Data Analysis

1896 words - 8 pages

MATHEMATICS COURSEWORK 21. Data Collection1) As a group of four, we collected data mainly from the Internet websites, in order to ensure the same scale of data.The data items regard to:a) Prices and Mileages of the "51 registered" cars in the UK.b) On the Road Prices (including V.A.T) and Engine Power (in horse power HP) of the selected sample that has been chosen individually.We specifically targeted on German cars, so the population of the pool includes the following make of cars:Audi, BMW, Mercedes-Benz and Volkswagen, in regard of second-hand price, mileage, on the road price and the new price.2) For data collection, the following websites have been visited:www.exchangeandmart.co.ukwww.secondhandcars.co.ukwww.audi.co.ukwww.bmw.co.ukwww.mercedes-benz.co.ukwww.volkswagen.co.uk3) The pool of cars covers 200 cars with the above 4 brands that have been mentioned.In order to make the pool, and later the sample, to be more representative, a wide range of models have been covered in each make of cars. They are shown on the list that will be produced on the following page with a wide range in terms of size, prices of both second-hand and new cars, mileages and engine power expressed by horse power.a) If divided by SIZE, there are:14 small cars98 medium cars 14+98+88=200--the total amount of the pool88 large carsSize is divided according to the following guidelines:Small cars ≤ 1.51.5 < Medium cars < 2.5Large cars ≥ 2.5b) If divided by MILEAGE, there are:69 Low mileage cars48 High mileage cars 69+48+83=200--the total amount of the pool83 cars lie in betweenMileage is divided according to the following guidelines:Low mileage ≤ 7,500High mileage ≥ 15,000The others lie in between 7,500 and 15,0004) The coursework is according to the divide on Mileage. Because there are low, medium and high mileages constructing 69, 83 and 48 cars, soLow mileage cars : Medium mileage cars : High mileage cars is69 : 83 : 48The coursework takes a sample of 40 cars, so there should be:Low mileage cars: 69 X 40 = 14200Medium mileage cars: 83 X 40 = 17 14+17+9=40--the amount of sample200High mileage cars: 48 X 40 = 9200within the sample.The method here used is called "Stratified Sampling", which means taking data from different groups according to the same percentages they construct in the whole pool. Here, because the pool is divided into 3 groups, in order to ensure the representative of the sample, stratified sampling is used and the criteria is mileage. So the percentages of low mileage cars, medium mileage cars and high mileage cars in the sample will be the same as they are in the whole pool.By using stratified sampling, the percentages of each group in the sample are in accordance to the what they construct in the pool, so the sample is likely to be representative.After stratified the sample, among each group, use calculator to select the sample representing each group randomly.The process is:i) Press Mode 3 times until "Fix 1" is displayed on the...

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