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• Level: GCSE
• Subject: Maths
• Word count: 3434

# My main factor I am investigating is going to be weight. For the majority I aim to investigate the effect of weight on height. I am also going to look at the frequency of different weight groups among people.

Extracts from this document...

Introduction

Maths Statistics Project

By Amir Taaki 10T

My main factor I am investigating is going to be weight. For the majority I aim to investigate the effect of weight on height. I am also going to look at the frequency of different weight groups among people.

• The height will be measured in cm. I will keep it continuous by not asking the people to place their heights into groups, but instead enter their heights. This will be Quantitive data.
• The weight will be measured in cm. I will keep it continuous by not asking the people to place their weights into groups, but instead enter their weights. This will be Quantitive data.
• I will collect this data myself.

I predict average height people weigh the least, followed by smaller people, who weigh more than usual, and lastly the taller people will weigh the most.

I think smaller people will weigh more than average because people who stay indoors and don’t get as much exercise (to burn the calories) put on weight, and don’t grow because they don’t get enough exercise.

Taller people, I think will weigh the most because they will have more bodily mass to make up for them being tall (for example imagine cubes, you stack the cubes up to make a taller cube which has more mass than the individual cubes).

Although greatly exaggerated the graph shows what I mean.

I predict that the average height will be or a range ]150cm, 160cm[ for Year 7 and Year 8 Girls and Boys. I have predicted this because my own height is 165cm and I know my height doesn’t fluctuate wildly, and that I haven’t grown much since Year 7 and 8, so I took away 10 cm which left me with 155cm ± 5cm.

Middle

I got my results back now.

I would’ve liked perhaps a bigger sample size (which wasn’t possible because I didn’t have enough time to send and collect that many questionnaires) but overall, I am happy with the results I have obtained.

On 1 of the questions asking the persons IQ, the person left it empty. Prehaps they didn’t know their IQ. I also left out 3 sets of figures, for year 7 girls (140, 110, 110). These are the ones crossed out. I left them out because they were too overly large and inconsistent, they were most likely an error.

Prehaps the questionnees thought they were being asked pounds or didn’t know their weight in kg and converted their weights incorrectly. Because of my big sample size It allowed me to simply leave mistakes out while still producing a good set of results/graph.

I am going to investigate the relationship between the height of a person and their weight. Initially I am going to use a scatter diagram for Year 7 girls and boys, Year 8 girls and boys. But if the results show a positive correlation (or negative), then I will also plot lines of best fit and find the equations of them it as this will be beneficial in predicting the supposed weight of certain heights of people and vice versa.

Also I will find out the average so I can see how much most people weigh by checking the standard deviation.

To work out the average-

_         Σfx

x =   ⎯⎯⎯

Σx

e.g    Σx = 10 and Σfx = 200

_

x  =   200 : 10

=   20

To work out the standard deviation-

_

s.d =  [  (x- x)2 ]

⎯⎯⎯⎯

n

_

e.g      (x – x)2 = 4      and n = 1

σ =  (4 / 1)

=  4

= ± 2

Results

 Height in m mean σ Year 7 Females 154 11 Year 7 Males 155 10 Year 8 Females 160 10 Year 8 Males 160 13 Weight in kg mean σ Year 7 Females 44.5 6.5 Year 7 Males 46.0 9.0 Year 8 Females 51.0 8.8 Year 8 Males 49.0 9.8

Conclusion

X  = Unknown variable

Y  = Unknown variable

W = ΔH /2

W = A(ΔX)

H = A(ΔY)

A(ΔX) = {Δ[A(ΔY)]} /2

ΔAX = ΔAY /2

------------------------------------DOES THIS ONE BE BETTER??????!!!!----------------------------------------------

which shows us that X must be half of Y which again shows us that weight is roughly half height. It also attributes SOME identity to X and Y.

--------------------------------SHIT NEEDS TO GO HERE!!!!!!!!!-------------------------------------------------------

-------------------------------END OF SHIT NEEDS TO GO HERE- BEGININNING OF I LIKE--------------------------

Also interesting was that more women were underweight than men that were underweight. Yet there were also more women overweight than in men. The frequency of men tended to stay more within the average than in women.

We can see this in the graph, but since the last class width wasn’t accurate (because it was based on other class widths) it is better to look at the table-

 secondary data men women underweight (BMI<19) 1.6 5.7 normal weight (BMI<=19 to < 25) 39 43.6 overweight (BMI<=25 to BMI<30) 39.9 25.7 obese (BMI<=30) 19.5 25 total 100 100

Here if we look we can see that more women are underweight than men and also more women are overweight than in men. The frequency of weights in women is more evenly distributed, which suggests that females must have an overtly different range of lifestyles than men (based on what we can see here). Also more women may be underweight than men because of the image to conform to skinny models(which also might have an effect on them being overweight as well), and/or it could be that men also have an image to conform to healthy fit males and so it has effected them.

Another reason could be biological differences in bodies. But this reason is disproved because the frequency of weights in females isn’t concentrated on less weight but more evenly distributed than men.

Prehaps the best reason of all could be that a lot of the overweight women are mothers, and the women who weigh less aren’t mothers yet (because you’ve given birth you put on 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.

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