• 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
5. 5
5
6. 6
6
• Level: GCSE
• Subject: Maths
• Word count: 2679

# I am investigating the difference in growth rates between boys and girls across Year 7 to 11 in Mayfield High School. I have obtained the data from an electronic database and is therefore secondary data.

Extracts from this document...

Introduction

Zilia D’Mello        Page         Statistics Coursework

Introduction

I am investigating the difference in growth rates between boys and girls across Year 7 to 11 in Mayfield High School. I have obtained the data from an electronic database and is therefore secondary data. I took a representative sample of 250 pupils from the database to carry out the investigation.

I am going to investigate the following hypotheses:

• The height of the females will increase from Year 7 to 11.
• The height of the males will increase from Year 7 to 11.
• The weight of the females will increase from Year 7 to 11.
• The weight of the males will increase from Year 7 to 11.
• Females tend grow earlier then males.
• The distribution of each male and female height in each year group is symmetrical and normal.
• The distribution of each male and female weight in each year group is symmetrical and normal.

In order to carry out the investigation I will need to collect the following information: Year Group, Surname, Forename, Gender, Height and Weight. I can find this information from the database provided. I know that this information is reliable because it is based on a real school. The sample of pupils that I will take will be obtained through use of stratified and random sampling to ensure a true representative population.

Sampling

I reduced the population down to 250 pupils firstly by using stratified sampling. This ensure that the numbers of pupils of each gender and year group were in ratio to the actual population.

Middle

Weight

Females

Yr 7:

• 57kg – I have decided to accept this outlier as she has a B.M.I. of 22.

Yr 8:

• There were no outliers.

Yr 9:

• There were no outliers.

Yr 10:

• There were no outliers.

Yr 11:

• There were no outliers.

Males

Yr 7:

• 32kg – I have decided to reject this outlier as he has a B.M.I. of 13.
• 33kg – I have decided to accept this outlier as he has a B.M.I. of 16.
• 53kg – I have decided to accept this outlier as he has a B.M.I. of 22.
• 54kg – I have decided to accept this outlier as he has a B.M.I. of 23.
• 56kg – I have decided to accept this outlier as he has a B.M.I. of 25.
• 59kg – I have decided to accept this outlier as he has a B.M.I. of 26.
• 75kg – I have decided to accept this outlier as he has a B.M.I. of 25.

Yr 8:

• 5kg – I have decided to reject this outlier as he has a B.M.I. of 2.
• 57kg – I have decided to accept this outlier as he has a B.M.I. of 19.
• 59kg – I have decided to accept this outlier as he has a B.M.I. of 20.
• 60kg – I have decided to accept this outlier as he has a B.M.I. of 23.
• 74kg – I have decided to reject this outlier as he has a B.M.I. of 29.
• 80kg – I have decided to accept this outlier as he has a B.

Conclusion

Conclusion

From looking at my overall investigation, I can draw a number of conclusions.

Firstly, it is possible to see that male height and weight increases from Years 7 to 11 thus proving the hypotheses. This is also evident when looking at the Body Mass Index.

When looking at the girls, it is much harder to see such obvious patterns. Therefore I found it hard to prove the hypotheses that female weight and height increased over time. Both height and weight seemed to decrease in some places or stay constant. This could be due to dieting or a healthier eating regime. When looking at the Body Mass Index, I found a decrease which suggests that females are not gaining in weight or height and if they are they only gain in one or the other, therefore keeping the ratio low.

All of the histograms followed a ‘nearly’ normal distribution curve suggesting that the school population was evenly distributed in terms of height and weight. Although not symmetrical, this pattern was clear.

Finally, by looking at the means and standard deviation I was able to come to the conclusion that girls tend to grow earlier than boys, as stated in the hypotheses. I found this as girls tend to reach a set height or weight before either decreasing or remaining constant whereas the boys continued to grow. This suggests that girls finish growing earlier then boys.

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. ## mayfield high statistics coursework

GIRLS HEIGHT GIRLS Height (cm) Cumulative Frequency Less than 140 0 Less than 150 5 Less than 160 16 Less than 170 17 Less than 180 20 Less than 190 20 Cumulative Frequency Diagram GIRLS Weight (kg) Cumulative Frequency Less than 40 5 Less than 50 13 Less than 60

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

boy's height mean and the girl's height mean, * The difference between the range in girl's height and boy's height, * And many more observations can be made. From this data I will make a stem and leaf diagram. STEM AND LEAF DIAGRAMS Boys Height Stem Leaf Frequency Cumulative frequency

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

For the height of year 11 I have kept the 10cm intervals but I now I have put intervals ranging from 130cm - 200cm, this fits my data much better. I will now put the information from my frequency tables into stem and leaf diagrams so that I can find

2. ## For my project I am investigate the relationship between weight, height and body mass ...

79 0.057168066 9 Savage Louise Margaret Female 1.06 74 65.9 80 0.066442999 9 Jones Samantha Louise Female 1.62 45 17.1 81 0.066730399 9 Smith Sarah Female 1.59 45 17.8 82 0.069114139 9 Holmes Abby Laura Female 1.71 42 14.4 Year 10 - boys 83 0.002718605 10 Lister Kuta Viker Male

1. ## Mayfield High Statistics Coursework

Then I using the newly stratified and randomized pupils I created a scatter graph and correlation coefficient. I saw that there was a good positive correlation on my scatter graph and there was a strong positive correlation coefficient. This proved to me that my hypothesis was proved by my results.

2. ## Mayfield High School girl/boy height/weight investigation.

Overall Conclusion Once again, my graphs do not show a strong correlation, i.e. - no relationship between height and weight. My hypothesis was therefore incorrect, and there is no relationship between the height and weight of the students whom attend Mayfield High School.

1. ## Statistics GCSE Coursework. Height and weight of pupils. The sampling method I am ...

For a normal distribution the mean mode and median are the same. To see if my data fit this distribution I compared the obtained results for year 11 males and females separately with what I would expect for normally distributed data.

2. ## An eating disorder is a serious disruption of a persons eating habits, it some ...

The biological causes for bulimia were looked into by Kendler et al.. They aimed to establish whether the increased incidence of bulimia in families was due to environmental or genetic reasons. This was done (as in the study into anorexia)

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