• Join over 1.2 million students every month
• Accelerate your learning by 29%
• Unlimited access from just £6.99 per month
Page
1. 1
1
2. 2
2
3. 3
3
4. 4
4
• Level: GCSE
• Subject: Maths
• Word count: 1564

# Mayfield High School - Relationships between height and weight

Extracts from this document...

Introduction

E. Fry 5V

Statistics Project

Mayfield High School

Relationships between height and weight

## The total number of students at the school is 1183. It is unfeasible to do a study on all the pupils in the time available. Therefore I decided to take a stratified random sample of the pupils. I did a stratified random sample in order to ensure a fair sample, as there are differing numbers of pupils in each year, so therefore taking the same number from each year is not a good representation of the school community. How I did this is shown on the next page.

Finally I found out how many girls and boys I should sample from each year using:

No of Yr N boys/girls   x 50

Total number of pupils

N is the year number, and 50 is the overall size of my sample, therefore I multiplied the result by 50. I chose 50 because it is a manageable size, but it still gives a good representation of the pupils.

Middle

Therefore the second set of graphs I did were Scatter charts, to see if there was a correlation between height and weight. I expected these to show a strong positive correlation, and both the graphs for boys, and the graph for girls did this. However, the correlation when I put both girls and boys together was weaker than when they were done individually. This was shown by only having a correlation coefficient of 0.467, compared to the boys’ coefficient of 0.572. However, the girls’ had the weakest correlation with a coefficient of 0.288. This weak correlation could be explained by some exceptional values in my data, for example the girl who was 151cm tall, but weighed 65kg. Also, often as girls get older, they become concerned about their figure and diet, so this could affect the correlation as well. The lines of best fit in my diagrams predict that a boy who was 170 cm tall would have a weight of around 59 kg, and a girl who was the same height would weigh around 54 kg.

The third set of graphs I did was the Pie Charts. These were to provide a visual representation of the standard deviation.

Conclusion

The analysis was subject to some limitations however. The results could be considered more representative if a larger sample of pupils had been taken and some consideration had been given to the ages of students in the sample.

Also, my predictions are based on general trends observed in the data. Within the sample, there were exceptional individuals whose results fell outside the general trend, for example the Year 9 girl who weighed 65kg despite only being 151cm tall.

If the time were available, I would extend my investigation to consider the relationship between shoe size and weight, not only between genders, but between ages as well. From the work done in this project, I could predict that once age is considered, the correlation between height and weight will be much stronger than when it is not.

Overall therefore, although I feel that the conclusions drawn from the data I have do support my hypotheses, the data are only conclusively proves my hypothesis “that as boys get taller they get heavier.” My research does also show that there is a strong correlation between height and weight.

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.

## 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

# Related GCSE Height and Weight of Pupils and other Mayfield High School investigations essays

1. ## Height and Weight of Pupils

You can see from above when I made the graphs that for males, females and all the students put together they had a positive gradient. The equation for the line of best fit clearly shows a positive gradient thus therefore there is a positive gradient.

2. ## mayfield high statistics coursework

The Data I will input in Microsoft Excel and this will help me produce an efficient and successful graph in which I can then evaluate on the trend. LINE OF BEST FIT TO SHOW TREND CLEARLY IS ALSO INCLUDED. This Scatter Graph that I have produced shows that there is

1. ## Investigation of shoe size and height from Mayfield high school database.

This may only be a minor change but when we look at the histogram of height we can clearly see the difference. There is a high percentage change of 4.1% The investigation also proved that girl's feet are smaller than boys.

2. ## Maths Statistics Coursework - relationship between the weight and height

wider spread, perhaps showing that 1.60 is just the one that was in the middle. The boys' mean height was 1.63m and the girls' mean height was 1.59m which clearly indicates to me that on average the boys' heights are 4 more cm than girls'.

1. ## Conduct an investigation comparing height and weight from pupils in Mayfield School.

Boys and girls have both 40 - 50kg and 50 - 55kg as their modal class interval. The range for the boys 0.37 is much higher than the girls range 0.21. The evidence from the sample suggests 8 out of 25 or 32% of the girls have a height between 50 - 55kg.

2. ## The relationship between height and weight for students of Mayfield High School.

and height, suggesting that the taller the person the more they weigh. * Using the line of best fit we are then able to make predictions on the relationship between height and weight. For example we could predict that a person that weighs 60 kg may be about 160cm in height.

1. ## the representation of women in the Greek tragedies

Cassandra's power of divination is strikingly akin to Medea's powers of witchcraft. Yet, these two women are almost polar opposites. Whereas Medea is vocal and proactive against her oppression, Cassandra is silent and simply accepts her fate. Aeschylus' female character does not offer any form of resistance as she is

2. ## I would like to know whether there is a link between ability in Maths ...

3 3 7 Male 3 3 7 Male 3 3 7 Male 3 4 7 Male 3 3 7 Male 3 3 7 Male 3 4 7 Male 3 3 7 Male 3 4 7 Male 3 3 7 Male 3 4 7 Male 3 4 7 Male 3 3

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