• Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month

To find out if the mileage that a car has run is related in any way to the percentage decrease in the price of the car from original price to secondhand price.

Extracts from this document...


GCSE Math practice coursework

The percentage decrease in price and mileage


To find out if the mileage that a car has run is related in any way to the percentage decrease in the price of the car from original price to secondhand price.

This would be worthwhile doing as the mileage directly affects the quality of the car and so, affects the price.

I will do a pretest (graph of everything) to ensure that the investigation is worth doing, just to see if there is an overall correlation.  


I will pick out the data I need for this project and take samples. Here I will need the statistics of mileage and both prices then use the spread sheet to work out the price decrease percentage.

...read more.


∑ x;y - ∑x; ∑y               ∑ x2 – (∑x;)2                                  ∑y;2 - (∑y;) 2

        n        n                               n


I think that there will be a strong positive correlation as usually, the price drops by a greater percentage as the mileage increases.


I think that this will be true as older cars get sold for less money. This is generally what happens but in some circumstances, for example, a 7 year old Rolls Royce  that has traveled 100000 miles can cost more that a brand new Toyota.


The pretest graph:


This showed that the data has strong positive correlation and would be worth investigating into.

...read more.


Here are the correlation coefficients for all my three samples:

Sample 1:  0.989297        Sample 2: 0.989546        Sample 3 : 0.990238

All the scatter diagrams show a strong positive correlation as their points nearly make a straight line.


From the results, I have made the following observations:

Using a scatter diagram, I found that there is a strong positive correlation between the percentage decrease and mileage

·With either of X or Y, I could estimate the other with the line of best fit.

The cumulative frequency tells me that most cars decrease between 20 and 40 percent in price.


The investigation could have been brought to a greater extent if more strategies have been used to analyze the data such as box and whiskers diagrams or histograms at the start of the coursework.  

The observations were as predicted and the results were acceptable.

...read more.

This student written piece of work is one of many that can be found in our AS and A Level Probability & Statistics section.

Found what you're looking for?

  • Start learning 29% faster today
  • 150,000+ documents available
  • Just £6.99 a month

Not the one? Search for your essay title...
  • Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month

See related essaysSee related essays

Related AS and A Level Probability & Statistics essays

  1. Statistics coursework

    Therefore I decided to complete another cumulative frequency graph but with the cumulative percentage of the sample instead of simply the cumulative frequency. This way I will be able to see the cumulative frequency as a percentage of the whole strata so strata size doesn't affect my results.


    Cumulative Frequency Height, h (cm) Boys Girls 1.00<h<1.10 0 1 1.10<h<1.20 0 1 1.20<h<1.30 0 1 1.30<h<1.40 1 1 1.40<h<1.50 3 3 1.50<h<1.60 13 14 1.60<h<1.70 19 28 1.70<h<1.80 26 30 1.80<h<1.90 30 30 I will now draw the cumulative frequency graph for the height of the boys and the girls together.

  1. Statistics. The purpose of this coursework is to investigate the comparative relationships between the ...

    Car Make Model Price when new price age(years0 mileage no. of owners 51 Volkswagen Golf 12999 3595 6 58000 2 52 Ford Escort 12125 4295 3 29000 1 53 Ford Escort 11800 4700 5 34000 1 54 Bentley TurboR 170841 37995 8 55000 1 55 Fiat Punto 7864 4500 3

  2. I want to find out if there is a connection between people's IQ and ...

    the maths, english and science results were rounded up to a whole number. I had to find the average of the three results to make my data little more spread out and accurate for the whole picture. Because I calculated the average, the scores were divided by three (for the subjects)

  1. Is there a Correlation between GCSE Mathematics and English Literature scores?

    152 5 3 74 5 4 156 1 3 78 1 2 158 0 1 80 6 5 162 6 4 I am now going to plot these results on a Scatter graph so I can easily see whether the data has a Correlation.

  2. One basic assumption of Black-Scholes model is that the stock price is log-normally distributed ...

    The left tail of figure before the big event dates is much fatter than the left tail of the figure after the big event date. Figure 5 Lognormal distributions of Six Continent options on 18th and 20th of Feb 2003.

  1. In this project I will be investigating three main hypotheses, which are all based ...

    �185 �250 �295 �260 �215 �260 �400 �318 �300 �480 �375 �510 �370 5 �410 �370 �395 �450 �400 �255 �356 �360 �398 �400 �490 �390 Here is all the data collected using the two samples mentioned on previous page and also put into a table.

  2. Investigate the prices of second hand cars and the factors that may affect the ...

    I understand that this sample eradicates all other cars from the list and other types of car may not be affected in the same way as 1.4 engined cars. HYPOTHESIS 2 "Cars with short MoTs are frequently sold." In order to test this I am going to draw a cumulative frequency diagram.

  • Over 160,000 pieces
    of student written work
  • Annotated by
    experienced teachers
  • Ideas and feedback to
    improve your own work