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GCSE: Height and Weight of Pupils and other Mayfield High School investigations
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- Marked by Teachers essays 1
- Develop your confidence and skills in GCSE Maths using our free interactive questions with teacher feedback to guide you at every stage.
- Level: GCSE
- Questions: 75
So not to get any bias, I will use a stratified sampling method to select people from the population. I have preferred to use stratified sampling because each group will be fairly represented and the number from each group is proportional to the group size. I will be using a sample size of 100. Year Group Number of Boys Number of Girls Total 7 13 11 24 8 12 11 23 9 10 12 22 10 9 8 17 11 7 7 14 Total 100 My 100 samples are: Year Group Surname Forename Gender IQ Height (m)
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Statistics GCSE Coursework. Height and weight of pupils. The sampling method I am going to use is stratified sampling. This method is appropriate as the data is split into strata already (year group/gender)
This means that each year group and gender is represented fairly. There is no guarantee that the sample will be representative as a large number of abnormal observations could be made however this is rarely the case, if the result is not representative it should be discarded. To take a stratified sample from the 1183 students I used this formula: Combined with the data in the table below to work out how many people should be in each stratum: I then took a sample of the data in the table based on the number of People in each strata and collected the data using Microsoft Excel.
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I am going to find out the year 10 male average student at Weavers School. I will collect the data on hair colour, height and weight and see the differences between 2009 data and 1996 with the help of some graphs and some complex calculations
I think students in 1996 will be less tall because old people who went to school in 1996 are smaller than me in height. Height = Continuous data Box and whisker diagram because it shows and allows me to compare the spread of the data, inter-quartile range, range, quartiles and find any outliers. I used this instead of standard deviation as this shows a shape which I can compare while standard deviation shows a number. 3. I think most students in 2009 will be 60kg as I am 50kg and most students are heavier than me.
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That year eight girls will weigh less year nine girls 9. That BMI of boys will be higher than that of girls Sampling I have chosen to sample 50 boys and 50 girls from a total 813 students, which is roughly 16 students from each year group. But the number students of each gender of each year group are not of equal number, as shown in the following table. KS3 number of children in each year: Male Female Total Year seven 151 131 282 Year eight 145 125 270 Year nine 118 143 261 Total 414 399 813 Table 1 To find the proportionate number of year seven males for the
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I will be investigating 20 boys and Girls and Boys from each Year altogether. STRATIFIED SAMPLING CALCULATIONS I want 60 Students from the from the school total 1183. I want 30 Boys from 604 Boys and my aim is to work out how many from each year and below is my calculation Year 7 Boys = 151 Divided By 604 multiplied by 30 = 7.5 rounded of to 8 Year 8 Boys = 145 Divided by 604 multiplied by 30 = 7.2 rounded of to 7 Year 9 Boys = 118 Divided By 604 multiplied by 30 = 5.8 is
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This will affect the students' weight regardless of their height and gender. Listed below are my hypotheses: 1. Females are generally shorter and weigh less than males. I will use a scatter graph to demonstrate whether or not the two sets of data are linked and will draw a line of best fit, showing the trend of the data and allowing me to make predictions. Scatter graphs show the correlation between data sets and the measure of strength between them. These are useful because they show the linear correlation as well as showing if the two data sestets are related.
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Their estimation will be recorded and the difference towards their estimation and the real measurement will be recorded. Their Midyis score and gender will also be recorded to see the comparisons between each and if they effect the overall estimation. Pilot Survey: Before I collect my data I will complete a pilot survey. This pilot survey will help me test that my survey is accurate and I will get the results I require fairly and accurately. It also gives me an idea of how the real results may be or if the hypothesis will be correct.
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Any decimals will be rounded up or down to form an integer. Hypotheses 1. Are boys taller than girls? 2. Are boys heavier than girls? Other hypothesis ideas * Link between height and weight? * Boys are heavier than girls? * Boys are taller than girls? * Separate by gender or year group? Things to do * Draw my hypothesis * Find mean, median and mode - what do these give me? * Median = middle or halfway value * Mode = most common value * Mean = average (total of values divided by the number of values)
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Having a high IQ means your Ks2 results should be better. Having a better IQ means you do better academically. * ''Year 10's have a better Ks2 Results and higher IQ than Year 8 ' I believe this because all years do differently in their SATs, some do well and some do worse than previous years. It all depends on the students in each year. It is the same with IQ; it varies from year to year so in this investigation I will need to prove that each year the ks2 results and IQ vary and that year 10's have better results.
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Mayfield high school. We will investigate the correlation between height and weight throughout the school. These two variables are examples of quantitative data, this will allow us to use advanced statistical techniques. We will be able to extend our rese
The correlation may be weaker, the younger the person is as they may be having their growth spurts at different times and be developing at different rates. Whereas, the older the person the more even peoples heights and weights get between girls and boys. Sample I have taken a sample of 40 pupils from the school, as working with the whole population would be unmanageable. I decided to use a stratified random sample, because I want our sample to have a fair representation of each year group and gender, and I want each child to have an equal chance of being selected.
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For my Statistics coursework I have decided that I will compare weight and height. I will use the data that has been gathered from Mayfield high school and I will show various methods to prove my hypothesis correct.
This is due to the natural course that every girl will go through. Also I know that males lose weight and gain more muscle tissue quicker than girls. I am going to use the formula shown above to work out BMI. Hypothesis 3 The taller you are the more you will weigh will result in a strong positive linear correlation I have opted to use this hypothesis because I think that it will show a positive correlation. To display this I am going to use Spearman's rank correlation coefficient because this will prove whether the correlation is either weak or strong depending on if it is negative or positive.
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I expect the girl's results to be more consistent compared to the boys as the growth spurt for boys between the ages of 11 - 16 is more varied as there will be some boys that haven't yet reached puberty in KS3 who are a lot shorter that the boys who have shot up through puberty in KS4, where as girls don't go through such a drastic change in height and weight compared to boys. In the end I will conclude whether I have successfully proved my hypothesis right or wrong.
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mayfield course work -boys are generally heavier than girl. This has to do with their body structure. Therefore I predict that my results will produce a pattern which shows that boys weight more than girls.
In most cases, the figures will be rounded up or down to the nearest integer. Year 7 Boys = 151 x 60 = 7.6 8 Girls = 131 x 60 = 6.6 7 1183 1183 Year 8 Boys = 145 x 60 = 7.3 7 Girls = 125 x 60 = 6.3 6 1183 1183 Year 9 Boys = 118 x 60 = 5.9 6 Girls = 143 x 60 = 7.2 7 1183 1183 Year 10 Boys = 106 x 60 = 5.3 5 Girls = 94 x 60 = 4.7 5 1183 1183 Year 11 Boys = 84 x 60 = 4.2 4 Girls = 86 x 60 = 4.3 4 5 1183 1183 I have to sample 5 girls instead of 4 girls from year 11.
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This data is based on Mayfield High School which is fictitious. While collecting the data, I made sure that I took a 10% sample from each sex in each year group, I also made sure that my selections were completely random, and that every student had an equal chance of being selected. The method I used to select them was - I divided each group into sections of 10, and the used the random button on my calculator to produce a random number between 0 and 1.
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For example, if I was creating a sample of 100, I would need 11% of it to be Year 7 Girls as the whole population consists of 11% Year 7 Girls. I will be considering many factors throughout my investigation such as age and gender. This will allow me to build up my line of enquiry, and make certain hypotheses along the way that I will study and interpret with graphs, averages and measures of spread. This will include techniques varying from frequency tables to cumulative frequency and from the mean to standard deviation.
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I believe that if they have chosen more logical subjects than they will also watch more television having spent less time doing the creative things as a child. I hope that this will show a good connection. I plan to use to use comparative pie charts and comparative cumulative frequency polygons to evaluate the creativity levels of students' favourite subjects by gender and histograms to prove my secondary hypothesis. Selection and Collection of Data I will be using Mayfield High data provided by the exam board.
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However, this may not be the case in individual year groups, but I don't have the distribution of boys and girls for each year group, so I will have to presume that the distribution is within the year groups is the same as for the whole school. I have decided to reduce the amount of data to 120. I feel that this is a good number to work with because I will have enough data to find accurate trends but it is not too much data that I will get confused with the volume of data to analyse.
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Another one of my theories is that boys are taller than girls in each year group, I will investigate this in the same way and if the boys are taller than the girls my hypotheses will be proved correct. I also think that boys and girls in higher year groups are taller than boys and girls in lower year groups, I will investigate this and if older people are taller my hypotheses will be proved correct. Diagrams and Calculations I will use line graphs and scatter graphs to provide me with evidence that I will need to prove my hypotheses, I will use box plot graphs because it is easy to see the difference between two groups of data.
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Although it isn't extremely clear as there isn't enough of a sample, it is still clear enough to see that my hypothesis will work for the rest of my investigation. To carry out the rest poo of my investigation I will use bigger samples and advance on the types of data analysis I will use. Collecting Data Before I use stratified sampling to find out what data I am using, I firstly need to remove any outliers from the data as this will affect my end conclusion.
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I will be testing the following hypothesis in my pilot study: The taller the student the heavier the student will be
Firstly, it is time consuming as the whole population is quite large. Also, it is quite difficult to record a large population and this may lead to loss of data or miscalculations by the researcher. Pilot Study A pilot study is a preliminary test to see if there is a line of enquiry to investigate further. It is normally small in comparison with the main experiment and therefore can provide only limited information on the sources and size of variation of comeback measures. I am carrying out a pilot study to see whether I can investigate further into the line of enquiry.
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Mayfield High. Hypothesis 1-the older the students, the taller and heavier they will be. Hypothesis 2-Girls in years 7, 8 and 9 are taller and heavier than the boys of those years but the boys in year 10 and 11 are heavier and taller than the girls.
I will first decide how to sample the given data of each year from Mayfield high school. By this I mean I will choose a sampling method from one of the following: stratified, random, convenience, systematically or quota. I first need to stratify the data for my sample, proportionate to the size of the year and the different genders. Secondly I will need to stratify the data for my sample making it proportinate to the size of the year. By doing it this way the number of pupils I pick from each year groups will in proportio to the total number in each year group.
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The graph shows that there is positive correlation. It tells us that as the taller the pupil the heavier he or she is but there are a few exceptions. The line of best fit tells us that a person who is 1.6 meters weighs about 51 kilograms. I can also work out how strong the correlation is, 0 being the weakest correlation and 1 being the strongest correlation. The co efficient is 0.320191 which tells us that there is a weak positive correlation.
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Data For this part of my investigation I will use a stratified sample to as to obtain correct proportions of boys and girls from years 7-11. A stratified sample is needed as I am comparing boys with girls and so need the correct proportions pf each year group. In am comparing gender and not the age of the pupils In order to do this I will, Join both keys stage 3 and key stage 4 together, Delete the unwanted cells, for example eye colour and favourite colour.
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* I am going to produce a scatter graph showing the heights and weights of the club members. This will help me to investigate whether there is a correlation between the heights and weights of the club members - helping to prove or disprove my main hypothesis. I am not however, going to produce a scatter graph for each separate gender as I would expect very similar results to the scatter graph for the combined data. This would not significantly assist my investigation, so if I was to produce these graphs it would be called redundancy * I am then
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The reason why I think this is because from my own experiences in school, I have noticed that there is not much difference between the girls in Year 9 and the girls in Year 11, particularly when comparing their heights. I have also noticed that boys usually are much taller than girls of the same ages. The main reason why I think there is the difference in height and weight between the girls and boys is because of the difference in puberty.
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