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  • Level: GCSE
  • Subject: Maths
  • Word count: 1607

Mayfield High School Maths coursework

Extracts from this document...

Introduction

        Page

Mayfield High Maths coursework

Aim

In this project I aim to find evidence to suggest if some hypotheses’ are true or untrue referring to the data that I have been given about the age and gender of pupils in Mayfield High. My aim in this work relies partly on the fact that girls are smaller than boys, and boy’s weigh less than girls.

        I am going to collect the data needed to test the hypotheses by using the Mayfield High spreadsheet, I will use year 11 boys because there is the least amount of data to be collected (84) and I will pick 30 of them at random, I use 30 because it is smallest amount I can use and still get viable results.30 is 31.71% of 84, so for each group of data the sample size is 31.71% of the number of people in the group.

Hypotheses

One of my theories is that boys are heavier than girls in each year, I will investigate this for each year group and if overall the boys are heavier than the girls my hypotheses will be proved correct.

...read more.

Middle

0

0

0

31-40

11

13

25

15

15

37

41-50

28

41

77

19

34

83

51-60

9

50

94

6

40

98

61-70

3

53

100

1

41

100

53

100

41

100

53

41

image16.png

image00.png

image17.png

Range

Boys

Boys

Cumulative

Girls

Girls

Cumulative

To

Nos.

Cumulative

%age

Nos.

Cumulative

%age

21-30

1

1

2

1

1

2

31-40

9

10

19

5

6

13

41-50

23

33

63

16

22

48

51-60

12

45

87

19

41

89

61-70

6

51

98

3

44

96

71-80

1

52

100

2

46

100

total

52

46

image18.png

image01.png

image19.png

Range

Boys

Boys

Cumulative

Girls

Girls

Cumulative

To

Nos.

...read more.

Conclusion

Mean weight/ kg

boys

girls

year 7

46

44

year 8

47.6

50.4

year 9

52.3

51

year 10

61.1

51

year 11

58

52.6

average

53

49.8

Standard deviation

6.505

3.344

Mean height/ metre

boys

girls

year 7

1.53

1.54

year 8

1.59

1.57

year 9

1.64

1.6

year 10

1.71

1.65

year 11

1.66

1.65

average

1.626

1.602

Standard deviation

0.069

0.049

The mean weight of the boys was on average 3.2kg heavier than the girls, however the boys standard deviation shows that they were further away from the mean compared to the girls whose standard deviation was only ± 3.34kg. This proves that my hypothesis was correct and boys are heavier than girls.

The mean height of the boys was only 2cm taller than the girls and standard deviation was only very slight. Both boys and girls heights had very low standard deviations therefore the data was very close to the mean. However, this can be seen to prove my hypotheses because the boys, although only just, are taller than the girls.

Throughout the graphs in my study an obvious trend has occurred although again only very slight. This is the trend between height of boys and girls throughout the years. Generally the boys have been taller than the girls although the correlations may have run similar courses. The graphs have shown that the boys and girls in higher year groups are taller than the boys and girls in lower year groups.

...read more.

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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