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• Level: GCSE
• Subject: Maths
• Word count: 2973

# Mayfields data handling

Extracts from this document...

Introduction

Mayfield’s high school: GCSE Mathematics

Introduction

In this coursework I will be investigating the contrast between girls and boys from years 11 and 7, in height and weight.  I am going to be using various methods to verify my hypothesis including producing graphs and diagrams.  I will be collecting my samples from Mayfield’s secondary school and will also be using stratified sampling to get accurate results from the samples.  I will then be putting the samples in to a series of graphs mainly scatter diagrams and cumulative frequency graphs as this will help me verify my hypothesis.

Hypothesis

In this investigation I predict that as the height of a pupil increases so     will the weights of the pupil.  I also think that as the males get older they will have a greater height and weight than the females.  But the females will have a greater height and weight than the males when they are younger; I feel this is due to the variations in puberty between males and females.

Stratified sampling

The sampling method I am going to be using is stratified sampling.  This type of sampling involves calculations unlike random and quota sampling which do not use a stratified approach to sampling.

Middle

Boyoh

Jake

Male

1.54

43

7

Brann

Jamle

Male

1.73

53

Year 9 Samples KS3 (key stage three)

 Year Group Surname Forename 1 Gender Height (m) Weight (kg) 9 Ali Aisha Female 1.52 45 9 Ali Hannah Female 1.62 52 9 Al-Jiboun Tarah Female 1.8 60 9 Amjad Samia Female 1.55 36 9 Aneillz Christina Female 1.53 65 9 Ashworth Samantha Female 1.6 48 9 Atkins Patience Female 1.57 40 9 Bagnall veronica Female 1.49 37 9 Barlow Billie Female 1.62 49 9 Barlow Sandra Female 1.64 55 9 Bellfield Janet Female 1.58 40 9 Bennett Susan Female 1.6 41 9 Bertwistle Laura Female 1.48 47 9 Billard Hailey Female 1.63 52 9 Boneheyo Olivia Female 1.65 49 9 Border Lucy Female 1.57 38 9 Edwards John Male 1.60 58 9 Elliot William Male 1.65 50 9 Ether Paul Male 1.53 45 9 Fagg Simon Male 1.75 60 9 Fenton Aaron Male 1.85 55 9 Gibb Mike Male 1.75 52 9 Glenn Edward Male 1.48 40 9 Gorst Lee Male 1.44 49 9 Gregory Andrew Male 1.82 66 9 Grimshaw Chris Male 1.70 50 9 Gunet Armede Male 1.60 68 9 Hall Patrick Male 1.60 55 9 Handergon Ben Male 1.58 50 9 Hardy Matt Male 1.70 47

Year 11 samples KS4 (key stage four)

 Year Group Surname Forename 1 Gender Height (m)

Conclusion

Upper Quartile= 166

Interquartile range= 18

I have noticed that the highest increase was in frequency between {1.5<x<1.6} and {1.6<x<1.7} (16-4=12) and therefore this is the most common height, whereas between {1.8<x<1.9} and {1.9<x<2.0} the difference was 1 (30-29=1) and this was the least increase in height and therefore the least common.

Lower Quartile= 37

Median= 42

Upper Quartile= 48

Interquartile range= 11

I have noticed that the highest increase was in frequency between {40<x<50} and {50<x<60} (21-5=16) and therefore this is the most common weight, whereas between {70<x<80} and {80<x<90} the difference was 1 (30-29=1) and this was the least increase in weight and therefore the least common.

From my investigation in the year 11 height and weight using cumulative frequency I have found out that the most common height is between 160cm to 170cm and the most common weight is between 50 and 60 kg.

Evaluation of Hypothesis

In my opinion I feel that my investigation was successful, I believe that the evidence that I have proved successfully was key to my investigation and inevitably I have proved that my prediction was correct. Even though I could not evaluate all the students heights and weight I still believe that the trends that I discovered would be repeated if I extended my sample would be the same. In general I believe my hypothesis was correct.

Candidate Name: Ryan Crilly  Candidate number: 3040  Centre Number: 30104

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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