• 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

# To investigate any relationship between height and foot size in adolescents, aged 7 to 16 years.

Extracts from this document...

Introduction

Maths Statistics Coursework

Sarah Fergusson

## Introduction

I was initially given a secondary set of data, with results of a number of questions, which were answered by 1600 students. 721 were in KS2, 642 in KS3 and 237 in KS4.

The first problem I was faced with was to decide which pieces of data I would use, as there were 25 questions asked. I need to use data which is continuous, to get the best use of my results. For example, if I were to use car colour and shoe size, I would not be able to do very much with the information I had. Car colour can only be red, blue, white, etc, and show size can only be size 1-12, etc.

However, with time and height, the data is continuous, as a person can be 125.5 cm tall, not just 125 or 126, for example. After considering this, I have decided to investigate foot size and height.

## Aim

Middle

As my population is so large (1600), I need to take a sample of it. To be fair, unbiased and effective, this sample needs to be representative of the whole population. It also needs to be large enough for me to draw any fair conclusions from it. It also must be large enough so I can discount any member of the population who seems anomalous, like someone over 3m tall, as they have probably entered false details.

After taking this into consideration, I have decided to take a random stratified sample.

I decided to take the first member of the population, then every 50, up to 1551, giving me 32 pieces of data in my sample.

However, two members of this sample did not answer the “height” question, which is needed for my investigation. So, I have decided not to include these results, taking my sample down to 30.

Conclusion

The sample population includes data from both boys and girls, of a wide range of ages. An 8 year old is, on average, shorter than a 12 year old, so this has to be kept in mind.

Appendix 1

Looking at the number of boys and girls

My sample contains data from both boys and girls, so I need to look at the sample, to see if the number of boys compared to girls is roughly equal.

 Boys Girls 13 17

This table shows that there are four more girls than boys. This is probably not enough to make a difference to the initial correlation, however it may do. The sample is slightly biased. I need to take into account that boys may grow faster, or slower, than girls, so this would affect the overall result.

So, I need to change my sample, so it is unbiased. After considering all possibilities, I have decided to only use boys in my second sample.

This student written piece of work is one of many that can be found in our AS and A Level Probability & Statistics 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 AS and A Level Probability & Statistics essays

1. ## Investigating the Relationship Between the Amount of Money a Football Club Receives and its ...

Again, standard deviation was applied to the grouped data. The results were as follows: Grant (�) Standard deviation of goal difference within group 0 - 500k 16.71 500k - 1M 8.81 1M - 1.5M 22.9 1.5M - 2M 16.39 2M - 2.5M 19.26 2.5M - 3.5M 35 The standard deviations are not particularly low.

2. ## I am investigating how well people estimate the length of a line and the ...

20 1.9 0.4 26 1 0.5 33 2 0.5 33 2 0.5 33 2 0.5 33 2 0.5 33 2 0.5 33 2.25 0.75 50 2.3 0.8 53 2.3 0.8 53 2.5 1 67 2.5 1 67 2.5 1 67 2.5 1 67 2.5 1 67 2.3 1 67 2.3

1. ## Guestimate - investigate how well people estimate the length of lines and the size ...

I will plot the estimates, as these will show me the modal group for each year. I used two methods to work out the class width and the frequency density, they were: Class width = upper boundary - lower boundary and Frequency density = frequency Class width Year 7 Class (degrees)

2. ## Statistics. The purpose of this coursework is to investigate the comparative relationships between the ...

My final graph will now be plotted to spot a general trend. I hypothesized that the number of previous owners would increase the mileage a car had done. Much like the last two graphs, this should appear as positive correlation.

1. ## Investigate if there is any correlation between the GDP per capita (\$) of a ...

if the distribution is not normally distributed I shall use Spearman's and if it is I shall use PMCC. As the histograms roughly show a normal distribution I am going to use PMCC method. Analysis: - Now I am going to calculate the PMCC with the help of Microsoft Excel.

2. ## Design an investigation to see if there is a significant relationship between the number ...

However, a line transect would avoid these gullies. Secondly, systematic sampling appealed to me above random sampling, due to the time restrictions imposed on me on the day of execution. The tide is known to move in very quickly due to the shelved nature of the bay, so I feel there would not be time to map out

1. ## Investigate the relationship between height and weight and how it changes between gender and ...

As boys and girls get older their weight and height increases but boys still are usually taller and heavier. If I had included the anomalies I think they would have changed the results so I am pleased that I didn't include them T he box and whisker diagrams I have

2. ## AS statistics coursework - correlation coefficient between height and weight in year 11 boys ...

Weight in kg (y) x2 y2 xy 1.75 45 3.06 2025 78.75 1.66 70 2.76 4900 116.2 1.90 70 3.61 4900 133 1.60 49 2.56 2401 78.4 1.91 82 3.65 6724 156.62 1.54 57 2.37 3249 87.78 1.77 57 3.13 3249 100.89 1.65 64 2.72 4096 105.6 1.57 40 2.46 1600 62.8 1.55 54

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