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I am going to investigate the ratio between height and weight between boys and girls in years 9, 10 and 11.
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Introduction
GCSE MATHS PROJECT: Data Handling
Topic:
I am going to investigate the ratio between height and weight between boys and girls in years 9, 10 and 11.
Hypothesis:
I believe that on average, if a boy or girl is tall, he or she will weigh more than someone who is shorter. In general boys will be heavier than girls also.
Why I have chosen this:
I have chosen to use years 9, 10 and 11 because this is when boys and girls are about the same stage in their physical development. I have also chosen 3 years to get a good spread of the results. It would be unfair to use years 7 and 8 because the girls would have developed more than boys. This therefore minimizes the bias in my results.
Sampling:
I am going to use a different sampling technique in my investigation.
I am going to use the steps outlined below:
- Separate each year in a database and put them in alphabetical order. I will then have three databases one for year 9, 10 and 11.
- Separate these further
Middle
- I will then find this number on my database and record them in a simple table displaying year group, surname, forename1, gender, height and weight.
Pre Test
From this data I have, I will pick 2 boys and 2 girls randomly from my 6 so that I can perform a pre test to see if there is a possible correlation between the heights and weights for boys and for girls. These will be on separate scatter graphs and I will use a mean line of best fit to test if the points are close to the line.
When I have my scatter graph, I will investigate how close to the line each point is and then I will add up the distances from the line for above the line and then for below the line and compare the values. If these values are close to each other I know that I have a possible correlation and can continue my investigation.
Problems with the Data
There are however, limitations to this data. This is not my data. It is someone else’s hand typed data. This causes problems from the start.
Conclusion
Finally, I will produce scatter graphs to extend my investigation. I will produce one for boys and one for girls. I can ask that if a person is 150 cm tall how much should the person weigh? I can find this in my graph after I have drawn a line of best fit, a curve of best fit and the mean line of best fit to test my results. I can then make comments on the correlations of this data and put them into general statements about the whole school.
In my evaluation, I can the summarize all these points in key statements and I can say how I could extend this investigation further in the future and perhaps follow different lines of enquiry. I can say how successful my investigation was and how did biases affect my results. I can see how these statements backed my hypothesis and I can interpret the data and compare and contrast the results.
This student written piece of work is one of many that can be found in our GCSE Height and Weight of Pupils and other Mayfield High School investigations section.
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