Emma's Dilemma
Emma's Dilemma In this investigation, I will be attempting to find out the formula that would give me the number of possible arrangements for any group of letters, even if the group contains the same letters. To find this out, I will be investigating the possible arrangements for different groups of letters and from there I will be then using the number of arrangements for each of these groups to find a formula. I will start off with groups of different letters and find the formula for that. The first group of letters I will start off with is the group 'LUCY': . LUCY 2. LUYC 3. LCUY 4. LCYU 5. LYCU 6. LYUC 7. ULCY 8. ULYC 9. UYCL 0. UYLC 1. UCLY 2. UCYL 3. CLUY 4. CLYU 5. CYLU 6. CYUL 7. CULY 8. CUYL 9. YLCU 20. YLUC 21. YULC 22. YUC L 23. YCUL 24. YCLU Therefore for a group of four different letters there will be 24 different arrangements. I will now attempt to find out the number of arrangements for a group of 3 different letters, 'EMO': . EMO 2. EOM 3. MOE 4. MEO 5. OEM 6. OME So there are 6 possible different arrangements for any group of 3 different letters. I am now going to try to find out the number of arrangements for a group of 2 different letters, 'EM': . EM 2. ME Therefore, there are only two different arrangements for any two letter group of different letters. I also used this method to find out how many different
Investigation in to the relationships between IQ results, Key stage 2 results and gender in secondary school students
Maths Coursework - Statistics Introduction We are going to investigate the relationships between IQ results, Key stage 2 results and gender in secondary school students. The school that we are using to gather information for our sample from, Mayfield, is a fictitious high school. However, the data that is presented is still based on a real school and real students. Hypothesis I predict that this investigation will prove that girls are more intelligent than boys. There are plenty of surveys that show that key stage 2 results are higher for girls than boys. Although these surveys may be questionable, as there would be some exceptions. Plan By comparing the differences between the 3 factors, for girls and boys, we will be able to determine which gender is more intelligent. We will be using a random sample of 100 students - 50 boys and 50 girls. These 100 students will be selected randomly from year 7. We will then use this sample to analyse the information and make judgements about it. We will make graphs and charts to show our results, which we will use to draw our conclusions on our information. In order to obtain our sample, we did some stratified random sampling. This means that we took 50 boys and 50 girls form year 7, but used the random numbers generator on our calculator to pick which students would be selected for our sample. We did this so that the information
There are many different newspapers; they range from tabloid papers to the broadsheet papers. The tabloids are a lighter read to the more involving descriptive broadsheet papers. Different newspapers are written to suit these preferences.
Introduction There are many different newspapers; they range from tabloid papers to the broadsheet papers. The tabloids are a lighter read to the more involving descriptive broadsheet papers. Different newspapers are written to suit these preferences. In the tabloid papers the wording used is less profound and therefore more easily understood. Aim To find if a tabloid paper gives a more "easier" read than a broadsheet paper Prediction A broadsheet paper will have more letters on average per word than a tabloid paper. Objectives 1.To collect data on number of letter per word in two papers. 2.To present data in a meaningful way 3.To interpret and analyse results and diagrams 4.To draw conclusions on analysis, state whether the prediction is correct. Method The data will be collected in-groups as this saves time. Every fourth word in a report will have the numbers of letters counted in it. This should give a good overall view to the word length in a section. Similar sections from each newspaper will be counted as to keep it fair. For example sports will be counted from newspapers, so will economics and politics. This is to give an overall view of the newspapers and so not just one area is studied. From each section the same number of words will be used to keep the investigation fair. Interpretation/ Analysis By looking at the tally charts and box plots for both The
To find if a tabloid paper gives a more "easier" read than a broadsheet paper
Maths Coursework Introduction There are many different newspapers; they range from tabloid papers to the broadsheet papers. The tabloids are a lighter read to the more involving descriptive broadsheet papers. Different newspapers are written to suit these preferences. In the tabloid papers the wording used is less profound and therefore more easily understood. Aim To find if a tabloid paper gives a more "easier" read than a broadsheet paper Prediction A broadsheet paper will have more letters on average per word than a tabloid paper. Objectives . To collect data on number of letter per word in two papers. 2. To present data in a meaningful way 3. To interpret and analyse results and diagrams 4. To draw conclusions on analysis, state whether the prediction is correct. Method The data will be collected in-groups as this saves time. Every fourth word in a report will have the numbers of letters counted in it. This should give a good overall view to the word length in a section. Similar sections from each newspaper will be counted as to keep it fair. For example sports will be counted from newspapers, so will economics and politics. This is to give an overall view of the newspapers and so not just one area is studied. From each section the same number of words will be used to keep the investigation fair. Broadsheet Number Of Letters Number Of Times They Appear
Used car prices
As part of my GCSE Statistics coursework investigation, I have been asked to investigate the factors, which affect the price of a car. To do this I have to break the investigation down into smaller questions. From my point of view the following information that we have been given, has very little or no affect on the price of the car, therefore they will not be investigated: * Insurance * Doors * Central locking * Seats * Gearbox * Airbags The question I have chosen, "What factors affect the price of a used car?" now needs to be broken down into sub-questions to find out which factors affect the price of a car the most. The sub-questions are as follows: * How do the make, model and age of a car affect its price? * How does the colour of the car affect the value of the car? * If the car has been serviced, what affect does this have on the price of the car? * How does a cars mileage affect its price? * Does the number of owners affect the car value? * Does the length of a car's MOT affect its value? * If a car has air conditioning, then does its value rise? For this investigation I am going to take a sample size of 60 cars from which I will try and take at least 2 of each car, so that I am able to compare two of the same types of car. However, the sample will not be random if I choose the cars myself. Therefore, to make sure that the sample I choose to use is fair,