GCSE Mathematics Statistic Coursework – Driving Tests - page 1
Keywords: GCSE Mathematics Statistic Coursework – Driving Tests
By ruth on 08/11/2006 17:26:03
Level: GCSE Key Stage 4 (Years 10-11)
Page Number: 1 of 10 pages: 1 2 3 4 5 6 7 8 9 10
GCSE Mathematics Statistic Coursework – Driving Tests
Introduction
I have been given a data set of people’s driving tests. This gives me information on the candidate’s gender, number of one-hour lessons, number of minor mistakes in the test, instructor, and the day and time of the test. With this data I will try and find a relationship between two of the variables. The data is secondary data, which I have been given and not collected myself. I will state a hypothesis, which predicts a relationship. I will then test this and see if it is correct.
Hypothesis
The number of minor mistakes will decrease with the more hourly lessons.
I believe this to be the case as you would think that the more lessons someone has had, the better they’d be at driving. And therefore the fewer mistakes they would make in their driving test.
Plan
I will firstly make a graph of the number of mistakes plotted against the number of lessons, and see if there is a relationship between the two, as I believe that there will be. I will then do a stratified random sample of the data and look at a graph of this. Following the results I will refine my hypothesis and investigate this.
Also there are a few data items in my data which are incomplete-they don’t have the two variables I am looking at. I have decided to discard them from the data set. I have discarded them totally as it would be inaccurate to guess the missing parts of the data.
Findings and results
A graph showing the number of mistakes in relation to number of lessons with all the data
I have decided to draw a scatter graph of all the results as I would like to see if there is a strong correlation and trend between the variables. A scatter graph shows this as it shows each data item and so if they are bunched together it’s easy to notice patterns. I used the program Fathom which easily generates data into graphs and gives the correlation coefficient r and a line of best fit.
From this graph I can see that there is a very weak correlation between the two variables (many of the points lie far from the line). There is a negative correlation. This tells
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