• 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
7. 7
7
• Level: GCSE
• Subject: Maths
• Word count: 1433

# Maths coursework on Mayfield high school

Extracts from this document...

Introduction

Maths coursework on Mayfield high school

## Introduction

Mayfield high school is a fictitious school with 1200 pupils. The age range goes from year 7 to year 11. It is a mixed school. My task is to analyse the data I have been given from Mayfield high school, and look at some of the key factors and relations between the pupils. The data given for each pupil is, year, birthday, eye and hair colour, gender, IQ, height, weight distance from home to school, and the method of travel to school.

## Planning

The factors I have chosen to investigate are the relation of height and weight to age and gender. To do this I will select a random sample of 30 girls and 30 boys from both year 10 and 11.  I will make a prediction. I will then draw cumulative frequency tables and graphs

Middle

121

1.52

41

248

1.54

29

225

1.43

54

254

1.73

42

235

1.52

45

272

1.62

49

243

1.55

65

I have created the cumulative frequency chart and graph for the height of yr 7 girls from the chart below.

 Data Frequency C freq 1.2>1.4 2 2 1.4>1.45 5 7 1.45>1.5 7 14 1.5>1.55 3 17 1.55>1.6 6 23 1.6>1.65 5 28 1.65>1.75 2 30

From this I was able to construct a cumulative frequency graph to help me to look at the range of different heights over this particular year group.

Now to look at the chart for the boys from yr 7 we will use both graphs to compare the boys and girls heights and come to a conclusion of who’s taller. And how we can interpret this.

 Data Frequency C freq 1.3>1.4 2 2 1.4>1.45 3 5 1.45>1.5 4 9 1.5>1.55 9 18 1.55>1.6 5 23 1.6>1.65 5 28 1.65>1.7 2 30

This shows that on average the boys in yr 7 are fractionally taller than the girls. The most common heights in boys was 1.5 > 1.55 and in the girls it was 1.45 > 1.5.  We can see from the graph below that the heights are very similar between the boys and girls in Yr 7.

Pupil height graph evaluation

This is probably because the pupils are of a young age and have a similar growth rate I think in year 11 the boys will be considerably taller than the girls as by that time they will almost be fully developed adults and men are usually taller than women. I will now look at the weights of the pupils in year 7 but I will add them to a cumulative frequency graph instead of doing two separate graphs then one comparison.

Prediction

I predict that the boys and girls will have a similar weight in yr 7 as they are still young and grow at the same rate as each other.

 Girls Girls c freq Boys Boys c freq 25>30 1 1 0 0 30>35 0 1 2 2 35>40 6 7 2 4 40>45 8 15 8 12 45>50 10 25 5 17 50>60 5 30 9 26 60>65 0 30 4 30

Conclusion

">65

1.61

54

1.64

57

1.62

56

1.65

66

1.62

54

1.65

68

1.62

51

1.67

60

1.62

48

1.67

59

1.62

54

1.67

55

1.63

44

1.67

58

1.63

47

1.68

63

1.63

45

1.68

68

1.63

54

1.69

63

1.63

60

1.7

54

1.65

66

1.73

58

1.65

42

1.77

52

1.65

52

1.78

48

1.65

45

1.78

66

1.68

47

1.78

55

1.69

51

1.8

66

1.7

45

1.81

47

1.7

52

1.81

63

1.72

51

1.84

74

1.72

60

1.84

62

1.73

64

1.85

58

1.74

39

1.96

70

The cumulative frequency graphs for height and weight below are for comparison firstly against boys and girls then to look at the differences between the two year groups.

## Data table for yr 11 heights

 Data Female height Male height 1.3>1.4 0 0 1.4>1.45 0 0 1.45>1.5 0 0 1.5>1.55 3 3 1.55>1.6 5 2 1.6>1.65 11 4 1.65>1.7 6 9 1.7>1.75 4 2 1.75>1.8 0 4 1.8>1.85 0 5 1.85>1.9 0 1

Data table for yr 11 weights

 Data Female weight Male weight 25>30 0 0 30>35 0 0 35>40 3 0 40>45 2 0 45>50 9 4 50>55 10 3 55>60 1 9 60>65 4 5 65>70 1 7 70>75 0 2

## Graph of yr 11 heights

graph representing weights of yr 11 pupils

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

Hypothesis 2 'Key Stage 4 Students who watch more hours of television on average have a lower IQ Level' Planning For this particular hypothesis I will be only be using the data of the School Year of 10 and

2. ## Mayfield. HYPOTHESIS 1: Boys at Mayfield School are Taller and Weigh more on ...

For the data to be evenly distributed, the other two sides must be fairly symmetrical. It is clear that the histogram do not show this. This shows that the majority of scores were above the median. Girls Height These Representations of Data shows admirably that the average height is 150

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

+ 54 + 50 + 44 + 38 + 52 + 48 + 45 + 50 + 44 + 53 + 57 + 40 + 40 + 36 + 45 + 51 + 43 + 40 + 47 + 44 + 38 + 47 25 = 46kg x x -

2. ## Mayfield High School Maths coursework

If there are any mistakes or odd ones out in my data I will simply delete that piece of data. Median Height boys girls year 7 1.53 1.57 year 8 1.62 1.59 year 9 1.66 1.6 year 10 1.7 1.63 year 11 1.67 1.62 Hypotheses Analysis Median Weight boys girls

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

5 8 Female 5 5 9 Male 4 4 9 Male 4 4 8 Male 4 4 9 Female 3 3 9 Male 3 3 9 Female 4 4 8 Female 4 4 8 Female 5 5 9 Male 4 5 8 Male 4 3 9 Male 5 5 7

2. ## Mayfield maths courswork - is there a link between abilty in maths and abilty ...

Below is a table to show the result of my calculations: Product-Moment Correlation Coefficient Year 7 Year 8 Year 9 0.61 0.74 10.85 [Table 9: Year 7/ 8/ 9 Product-Moment Correlation Coefficients] As we know from before, the calculation of the product-moment correlation coefficient is such that it will lie

1. ## Mayfield High Coursework

� 60 = 7 samples Year 10: Boys = 100/1200 � 60 = 5 samples Year 10: Girls = 100/1200 � 60 = 5 samples Year 11: Boys = 84/1200 � 60 = 4.2 � 4 samples Year 11: Girls = 86/1200 � 60 = 4.3 � 4 samples Sample:

2. ## Mayfield High School

I am now going to do a frequency table for Ks2 results. Year 8 Ks2 results: Ks2 Results Frequency Midpoint (x) fx 2< x ?

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